Verfügbarkeit: Estimation, fault diagnosis and control of uncertain nonlinear systems

Estimation, fault diagnosis and control of uncertain nonlinear systems:

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Bibliographische Detailangaben
1. Verfasser:	Streif, Stefan 1979- (VerfasserIn)
Format:	Abschlussarbeit Buch
Sprache:	German English
Veröffentlicht:	Magdeburg 2017
Schlagworte:	Nichtlineares System Fehlererkennung Lineares System Hochschulschrift
Online-Zugang:	Inhaltsverzeichnis Inhaltsverzeichnis
Beschreibung:	348 Seiten Illustrationen, Diagramme

Internformat

MARC


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245	1	0	\|a Estimation, fault diagnosis and control of uncertain nonlinear systems \|c von Prof. Dr.-Ing. Stefan Streif
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Datensatz im Suchindex

_version_	1804178375768539136
adam_text	INHALTSVERZEICHNIS HINWEISE 1 DANKSAGUNG 3 INHALTSVERZEICHNIS 15 TEIL I: ZUSAMMENFASSENDE DARSTELLUNG DER ARBEITEN 1 EINLEITUNG 19 1.1 MODELLBILDUNG UND MODELLANALYSE NICHTLINEARER S Y S TE M E ...................... 19 1.1.1 HERAUSFORDERUNGEN UND PROBLEM STELLUNGEN............................... 20 1.2 FEHLERDIAGNOSE UND REGELUNG NICHT LINEAR ER, UNSICHERER SYSTEME ............ 24 1.2.1 HERAUSFORDERUNGEN UND PROBLEMSTELLUNGEN BEI DER FEHLERDIA GNOSE ............................................................................................... 24 1.2.2 HERAUSFORDERUNGEN UND PROBLEMSTELLUNGEN BEI DER ROBUSTEN MODELLPRAEDIKTIVEN R E G E LU N G ....................................................... 25 1.3 ZIELE UND GLIEDERUNG DIESER A R B E I T .......................................................... 27 2 UNSICHERE, NICHTLINEARE SYSTEME: DEFINITION UND FORMALISIERUNG VERSCHIE DENER UNSICHERHEITSBESCHREIBUNGEN UND ROBUSTHEITSANFORDERUNGEN 31 2.1 BEHANDELTE SYSTEMKLASSE............................................................................. 31 2.2 VERSCHIEDENE ARTEN VON UNSICHERHEITEN UND ROBUSTHEITSANFORDERUN GEN (PAPER # 8 , REF. [302]; PAPER # 9 , REF. [266]; PAPER # 1 2 , REF. [306]; PAPER # 1 5 , REF. [ 1 9 2 ] ) .................................................... 32 2.2.1 VERWENDUNG DES BEGRIFFS UNSICHERHEIT UND ROBUSTHEITSANFORDE RUNG IN DIESER A R B E I T .................................................................... 33 2.2.2 MODELLHYPOTHESEN UND STRUKTURELLE UNSICHERHEITEN................... 34 2.2.3 MENGENBASIERTE UNSICHERHEITEN UND ROBUSTHEITSANFORDERUNGEN 35 2.2.4 QUALITATIVE UNSICHERHEITEN UND TEMPORAL-LOGISCHE SPEZIFIKATIONEN 37 2.2.5 WAHRSCHEINLICHKEITSBASIERTE UNSICHERHEITEN UND ROBUSTHEITS ANFORDERUNGEN ................................................................................ 38 2.3 ZUSAMMENFASSUNG UND AUSBLICK................................................................. 41 3 RELAXIERUNGSBASIERTER ANSATZ ZUR BEHANDLUNG VON MENGENBASIERTEN UN SICHERHEITEN UND ROBUSTHEITSANFORDERUNGEN IN ZEITDISKRETEN SYSTEMEN UND ANWENDUNGEN IN DER SCHAETZUNG, REGELUNG UND FEHLERDIAGNOSE 43 3.1 MATHEMATISCHE FORMULIERUNG UND L OE S U N G .............................................. 43 3.1.1 G RU N D ID E E ...................................................................................... 43 3.1.2 FEASIBILITY P RO B LE M ....................................................................... 44 3.1.3 R ELAXIERUNGEN................................................................................ 45 3.1.4 HEURISTIKEN ZUR REDUKTION DES RELAXIERUNGSFEHLERS (PAPER # 8 , REF. [302]; PAPER # 3 , REF. [3 0 0 ]) .................. 46 3.1.5 LOESUNG VON PROBLEM 1: INKONSISTENZZERTIFIKATE .......................... 48 3.1.6 LOESUNG VON PROBLEM 2: AUSSEN-APPROXIMATIONEN ....................... 49 3.1.7 ALGORITHMISCHE UMSETZUNG DER METHODEN IN EINER MATLAB- TOOLBOX (PAPER # 8 , REF. [3 0 2 ]) .............................................. 49 3.2 BEITRAEGE ZUR MODELLINVALIDIERUNG, PARAMETER- UND ZUSTANDSSCHAETZUNG . 51 3.2.1 ANWENDUNG DER ZUSTANDSSCHAETZUNG IM BATTERIEBEREICH (PAPER # 2 , REF. [2 5 5 ]) ..................................... ........................ 51 3.2.2 INNEN-APPROXIMATIONEN (PAPER # 1 , REF. [ 3 0 5 ] ) ................... 51 3.3 VERALLGEMEINERUNG EINIGER BEITRAEGE ZUR MODELLBILDUNG, FEHLERDIAGNOSE UND MODELLPRAEDIKTIVEN REGELUNG (PAPER # 3 , REF. [300]; PAPER # 4 , REF. [119]; PAPER # 5 , REF. [299]; PAPER # 6 , REF. [228]; PA PER # 7 , REF. [307]) 53 3.4 ZUSAMMENFASSUNG UND AUSBLICK ............................... ................................. 59 4 ANSAETZE ZUR KOMBINATION VERSCHIEDENER UNSICHERHEITSBESCHREIBUNGEN UND ROBUSTHEITSANFORDERUNGEN 61 4.1 MATHEMATISCHE FORMULIERUNG UND LOESUNG ZUR BEHANDLUNG GEMISCHT QUANTITATIVER-QUALITATIVER UNSICHERHEITEN UND ROBUSTHEITSANFORDERUN GEN ............................................................................................................... 61 4.1.1 GRUNDIDEE UND L OESUNGSANSATZ .................................................... 62 4.2 BEITRAEGE ZUR MODELLINVALIDIERUNG, PARAMETERSCHAETZUNG UND FEHLERDIA GNOSE MITTELS QUALITATIVEN-QUANTITATIVEN INFORM ATIONEN ......................... 64 4.2.1 ANWENDUNG FUER DIE FEHLERDIAGNOSE FUER HYDRAULIKPUMPEN (PAPER # 1 0 , REF. [ 1 2 0 ] )........................................................... 64 4.2.2 MODELLINVALIDIERUNG UND PARAMETERSCHAETZUNG IN DER SYSTEM BIOLOGIE (PAPER # 9 , REF. [ 2 6 6 ] ) .............................................. 65 4.3 MATHEMATISCHE FORMULIERUNG UND LOESUNG ZUR BEHANDLUNG GEMISCHT PROBABILISTISCH-MENGENBASIERTER UNSICHERHEITEN IN ZEITKONTINUIERLICHEN S Y STE M E N ...................................................................................................... 65 4.3.1 G RU N D ID E E ...................................................................................... 66 4.3.2 UNENDLICHDIMENSIONALES F P ........................................................... 68 4.3.3 ENDLICHDIMENSIONALE M OM ENTENRELAXIERUNG ............................... 70 4.4 BEITRAEGE ZUR MODELLINVALIDIERUNG UND PARAMETERSCHAETZUNG MITTELS GE MISCHT PROBABILISTISCH-MENGENBASIERTER U NSICHERHEITEN......................... 72 4.4.1 AUSSEN- UND INNEN-APPROXIMATIONEN KONSISTENTER PARAMETER UND ANFANGSBEDINGUNGEN PAPER # 1 1 , REF. [304]) ............... 72 4.4.2 PROBABILISTISCH-MENGENBASIERTE UNSICHERHEITEN UND AUSSEN- APPROXIMATIONEN VON MOMENTEN (PAPER # 1 2 , REF. [306]) . 72 4.5 ZUSAMMENFASSUNG UND AUSBLICK................................................................. 73 5 EFFIZIENTE BEHANDLUNG VON STOCHASTISCHEN UNSICHERHEITEN UND ROBUST HEITSFORDERUNGEN IN DER REGELUNG, FEHLERDIAGNOSE UND SCHAETZUNG 75 5.1 MATHEMATISCHE FORMULIERUNG UND L OE S U N G ................................................ 75 5.1.1 G RU N D ID E E ...................................................................................... 76 5.1.2 POLYNOMIALE CHAOSERWEITERUNG .................................................... 76 5.1.3 BESTIMMUNG DER PCE K OEFFIZIENTEN ........................................... 77 5.1.4 EFFIZIENTE APPROXIMATION DER WAHRSCHEINLICHKEITSDICHTEN . . . 78 5.1.5 EFFIZIENTE APPROXIMATION DER PROBABILISTISCHEN BESCHRAENKUNGEN 78 5.1.6 ABSTANDSMASSE FUER WAHRSCHEINLICHKEITSDICHTEN (PAPER # 1 3 , REF. [308]; PAPER # 1 4 , REF. [19 3]) ........................................ 79 5.2 BEITRAEGE ZUR MODELLDISKRIMINIERUNG, FEHLERDIAGNOSE UND STOCHASTISCHEN MODELLPRAEDIKTIVEN R EGELUNG....................................................................... 81 5.2.1 MODELLDISKRIMINIERUNG UND AKTIVE FEHLERDIAGNOSE (PAPER # 1 3 , REF. [308]; PAPER # 1 4 , REF. [ 1 9 3 ] ) .............. 81 5.2.2 STOCHASTISCHE NICHTLINEARE MODELLPRAEDIKTIVE REGELUNG (PAPER # 1 5 , REF. [ 1 9 2 ] ) .......................................................... 82 5.3 ZUSAMMENFASSUNG UND AUSBLICK................................................................. 82 6 ALLGEMEINE ZUSAMMENFASSUNG 85 GEMEINSAMES LITERATURVERZEICHNIS 87 TEIL II: AUSGEWAEHLTE A RBEITEN ZUR BEHANDLUNG VON M ENGENBASIERTEN UNSICHERHEITSBESCHREIBUNGEN UND RO BUSTHEITSANFORDERUNGEN 1 INNER APPROXIMATIONS OF CONSISTENT PARAMETER SETS BY CONSTRAINT INVER SION AND MIXED-INTEGER PROGRAMMING 115 STEFAN STREIF, NADINE STROBEL, ROLF FINDEISEN IN PROC. 12TH IFAC INTERNATIONAL SYMPOSIUM ON COMPUTER APPLICATIONS IN BIOTECHNOLOGY (CAB), PAGES 326-331, MUMBAI, INDIA, 2013. 1.1 INTRODUCTION ............................................................................................... 115 1.2 PROBLEM S E T U P ................................................................................................116 1.2.1 MODELS AND U NCERTAINTIES.................................................................116 1.2.2 ESTIMATING CONSISTENT PARAMETER S E TS ........................................... 117 1.2.3 OUTER A P P RO X IM ATIO N S....................................................................118 1.2.4 INNER APPROXIMATIONS....................................................................... 118 1.3 CERTIFICATES FOR GUARANTEED SOLUTION S E TS .................................................... 120 1.3.1 MIXED-INTEGER REFORMULATION OF C ONSTRAINTS .................................. 120 1.3.2 INNER APPROXIMATIONS BY C ONSTRAINT-INVERSION............................121 1.4 ALGORITHMS FOR INNER APPROXIMATIONS....................................................... 123 1.4.1 RECURSIVE INNER APPROXIMATION .................................................... 123 1.4.2 INCREMENTAL POLYTOPIC EXPANSION ................................................. 124 1.5 EXAM PLE............................................................................................................ 127 1.5.1 MODEL DESCRIPTION............................................................................. 127 1.5.2 R E SU LTS................................................................................................127 1.6 CONCLUSIONS AND OUTLOOK ............................................................................. 128 2 MODELLBASIERTE ZUSTANDSSCHAETZUNG FUER LITHIUM-IONEN-BATTERIEN 129 MATTHIAS RAUSCH, REINHARDT KLEIN, STEFAN STREIF, CHRISTIAN PANKIEWITZ, ROLF FINDEISEN AT - AUTOMATISIERUNGSTECHNIK, 62(4): 296-311, 2014. 2.1 MOTIVATION UND PROBLEMSTELLUNG .................................................................130 2.1.1 EXISTIERENDE VERFAHREN ZUR LADEZUSTANDSSCHAETZUNG......................132 2.2 FUNKTIONSWEISE UND MODELLIERUNG VON LITHIUM -IONEN-ZELLEN .................. 133 2.2.1 AUFBAU UND FUNKTIONSWEISE VON LITHIUM-IONEN Z E LLE N ............... 133 2.2.2 MATHEMATISCHE M ODELLIERUNG...........................................................133 2.2.3 DETAILLIERTES, VERTEILTPARAMETRISCHES R EFERENZM ODELL .................. 135 2.2.4 ERSATZSCHALTBILDM ODELL....................................................................137 2.3 ANFORDERUNGEN AN MODELLBASIERTE SCHAETZVERFAHREN ..................................... 138 2.3.1 BEOBACHT BAR KEIT UND IDENT IFIZIERBARKEIT ........................................ 138 2.3.2 R O B U STH EIT ......................................................................................... 139 2.3.3 BERUECKSICHTIGUNG VON UNSICHERHEITEN ........................................... 140 2.3.4 PHYSIKALISCHE INTERPRETIERBARKEIT UND MODELLKOMPLEXITAET. . . . 140 2.3.5 RECHENZEIT- UND SPEICHERANFORDERUNGEN ........................................ 140 2.4 SCHAETZUNG DES LADEZUSTANDES MIT EINEM MENGENBASIERTEN UND EINEM VERTEILT PARAMETRISCHEN A N SA TZ ....................................................................... 141 2.4.1 MENGENBASIERTE S C H AE TZ U N G ..............................................................141 2.4.2 MENGENBASIERTE R ELAXATIONSANSAETZE .............................................. 141 2.4.3 MENGENBASIERTE SCHAETZUNG DES LADEZUSTANDES EINER EINZELZELLE 144 2.4.4 VERTEILT PARAMETRISCHE S CHAETZUNG .................................................... 147 2.4.5 REDUZIERTES VERTEILTPARAMETRISCHES M ODELL ..................................... 147 2.4.6 VERTEILTPARAMETRISCHER B EOBACHTER ................................................. 147 2.4.7 VERTEILTPARAMETRISCHE SCHAETZUNG DER LADE- UND INTERNEN ZU STAENDE EINER EINZELZELLE....................................................................149 2.4.8 VERGLEICH DER VORGESTELLTEN M E TH O D E N ........................................... 151 2.5 AUSBLICK UND ZUSAMMENFASSUNG .................................................................... 155 3 OUTLIER ANALYSIS IN SET-BASED ESTIMATION FOR NONLINEAR SYSTEMS USING CONVEX RELAXATIONS 157 STEFAN STREIF, MATTHIAS KARL, ROLF FINDEISEN IN PROC. EUROPEAN CONTROL CONFERENCE (ECC), PAGES 2921-2926, ZURICH, SWITZERLAND, 2013. 3.1 INTRODUCTION .................................................................................................. 157 3.2 SET-BASED ESTIMATION AND O U TLIE R S ............................................................. 159 3.2.1 SET-BASED PARAMETER E STIM ATIO N .................................................... 160 3.2.2 SET-BASED OUTLIER A N A LY SIS..............................................................160 3.3 PRELIMINARIES: CONVEX AND LINEAR RELAXATIONS FOR SET-BASED PARAMETER E S TIM A TIO N ..................................................................................................... 161 3.3.1 CONVEX R ELAXATIONS ................... ..... ..............................................162 3.3.2 REDUNDANT C O N STRAIN TS....................................................................163 3.3.3 LINEAR R ELAXATION.............................................................................163 3.3.4 INCONSISTENCY CERTIFICATES BASED ON THE LAGRANGE DUAL .... 164 3.4 MODEL CONSISTENCY M EASURE..........................................................................165 3.5 SENSITIVITY MEASURE AND OUTLIER ANALYSIS .................................................... 166 3.6 EXAM PLE............................................................................................................168 3.7 CONCLUSIONS..................................................................................................... 169 4 GUARANTEED DIAGNOSABILITY OF PARAMETRIC FAULTS IN NONLINEAR SYSTEMS 171 DANIEL HAST, STEFAN STREIF, ROLF FINDEISEN IN PROC. 52ND IEEE CONFERENCE ON DECISION AND CONTROL (CDC), PAGES 5662- 5667, FLORENCE, ITALY, 2013. 4.1 INTRODUCTION .................................................................................................. 171 4.2 PROBLEM FORMULATION...................................................................................... 172 4.3 GUARANTEED INVALIDATION AND SET-BASED E S TIM A TIO N ..................................176 4.3.1 FEASIBILITY PROBLEM FORMULATION AND CONVEX RELAXATIONS . . . 176 4.3.2 GUARANTEED INVALIDATION AND OUTER APPROXIM ATIONS .................... 177 4.4 DETERMINATION OF DIAGNOSABLE PARAMETER S E T S ........................................... 177 4.4.1 STRONG DIAGNOSABILITY IN THE SET-BASED FRAM EW ORK ..................... 178 4.4.2 DIAGNOSABLE PARAMETER S E T S .......................................................... 179 4.4.3 COMPUTATION OF DIAGNOSABLE PARAMETER S E T S ................................ 182 4.5 EXAM PLE............................................................................................................183 4.6 CONCLUSIONS..................................................................................................... 185 5 CERTIFYING ROBUSTNESS OF SEPARATING INPUTS AND OUTPUTS IN ACTIVE FAULT DIAGNOSIS FOR UNCERTAIN NONLINEAR SYSTEMS 187 STEFAN STREIF, DANIEL HAST, RICHARD D. BRAATZ, ROLF FINDEISEN IN PROC. 10TH IFAC INTERNATIONAL SYMPOSIUM ON DYNAMICS AND CONTROL OF PROCESS SYSTEMS (DYCOPS), PAGES 837-842, MUMBAI, INDIA, 2013. 5.1 INTRODUCTION ...................................................................................................187 5.2 PROBLEM FORMULATION ...................................................................................... 188 5.2.1 RELAXATION AND SET-BASED FAULT DIAGNOSIS ..................................... 189 5.2.2 SEPARATING INPUTS AND OUTPUT SELECTION...........................................190 5.3 SEPARATING INPUTS ......................................................................................... 192 5.3.1 CONSTRAINTS FOR OUTPUT SET SEPARATION ........................................ 192 5.3.2 ROBUSTNESS CERTIFICATE FOR SEPARATING INPUT S E T S .......................... 193 5.4 PROBLEM SIZE R E D U C TIO N ................................................................................ 194 5.4.1 REFORMULATION AND SIMPLIFICATIONS ................................................. 195 5.4.2 COMPLEXITY REDUCTION APPROACH FOR MORE THAN TWO FAULTS . 195 5.5 OUTPUT S ELECTIO N .............................................................................................196 5.6 EXAM PLE............................................................................................................ 197 5.7 CONCLUSIONS......................................................................................................198 6 GUARANTEED ACTIVE FAULT DIAGNOSIS FOR UNCERTAIN NONLINEAR SYSTEMS 201 JOEL A. PAULSON, DAVIDE M. RAIMONDO, ROLF FINDEISEN, RICHARD D. BRAATZ, STEFAN STREIF IN PROC. EUROPEAN CONTROL CONFERENCE (ECC), PAGES 926-931, STRASBOURG, FRANCE, 2014- 6.1 INTRODUCTION ...................................................................................................201 6.2 PROBLEM S TATEM ENT......................................................................................... 202 6.2.1 SET-BASED FAULT DIAGNOSIS.................................................................203 6.2.2 OPTIMAL INPUT DESIGN FOR ACTIVE FAULT DIAGNOSIS ........................ 204 6.3 CONVEX RELAXATIONS ...................................................................................... 205 6.3.1 RELAXATION M E TH O D ..........................................................................205 6.3.2 ROBUSTNESS CERTIFICATES USING CONVEX R ELAXATIONS ..................... 206 6.4 OPTIMAL ROBUSTLY SEPARATING I N P U T ............................................................. 207 6.4.1 MEASURE OF OUTPUT SET S EPARATION ................................................. 207 6.4.2 DETERMINING THE OPTIMAL I N P U T .................................................... 208 6.5 EXAM PLE............................................................................................................210 6.5.1 SYSTEM D ESCRIP TIO N ..........................................................................210 6.5.2 S IM ULATION......................................................................................... 211 6.5.3 R E SU LTS................................................................................................212 6.6 C ONCLUSIONS......................................................................................................212 7 ROBUST NONLINEAR MODEL PREDICTIVE CONTROL WITH GUARANTEED CONSTRAINT SATISFACTION: A RELAXATION-BASED APPROACH 215 STEFAN STREIF, MARKUS KOEGEL, TOBIAS BAETHGE, ROLF FINDEISEN IN PROC. 19TH IFAC WORLD CONGRESS, PAGES 11073-11079, CAPE TOWN, SOUTH AFRICA, 20IF. 7.1 INTRODUCTION .................................................................................................. 215 7.2 PROBLEM FORMULATION...................................................................................... 216 7.3 ROBUST CONSTRAINT SATISFACTION OF INPUT SE Q U EN CES .................................... 219 7.3.1 ROBUST CONSTRAINT SATISFACTION ....................................................... 220 7.3.2 RELAXATION-BASED C E RTIFIC A TE .......................................................... 221 7.4 DETERMINING SUBOPTIMAL FEASIBLE IN P U TS ....................................................... 222 7.5 RECURSIVE F EASIBILITY......................................................................................224 7.6 EXAM PLE............................................................................................................226 7.7 C O N C LU SIO N ..................................................................................................... 228 8 ADMIT: A TOOLBOX FOR GUARANTEED MODEL INVALIDATION, ESTIMATION, AND QUALITATIVE-QUANTITATIVE MODELING 229 STEFAN STREIF, ANTON SAVCHENKO, PHILIPP RUMSCHINSKI, STEFFEN BORCHERS, ROLF FINDEISEN BIOINFORMATICS, 28(9):1290-1291, 2012. 8.1 INTRODUCTION .................................................................................................. 229 8.2 MAIN FEATURES ............................................................................................... 230 8.2.1 INSTALLATION AND SOFTWARE DEPENDABILITY........................................230 8.2.2 TOOLBOX ENVIRONM ENT.......................................................................231 8.2.3 IMPORT AND EXPORT OF DATA, MODELS AND P ROBLEM S ........................ 231 8.2.4 MODEL TYPES AND C O M P LE X ITY ....................................................... 231 8.2.5 MODEL INVALIDATION, PARAMETER AND STATE E STIM ATION....................231 8.3 E X A M P LE S........................................................................................................ 232 8.4 CONCLUSIONS..................................................................................................... 232 TEIL III: AUSGEWAEHLTE A RBEITEN ZUR KOMBINATION VER SCHIEDENER UNSICHERHEITSBESCHREIBUNGEN UND ROBUST HEITSANFORDERUNGEN 9 COMBINING QUALITATIVE INFORMATION AND SEMI-QUANTITATIVE DATA FOR GUAR ANTEED INVALIDATION OF BIOCHEMICAL NETWORK MODELS 235 PHILIPP RUMSCHINSKI , STEFAN STREIF, ROLF FINDEISEN INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 22(10):1157-1173, 2012. * THESE AUTHORS CONTRIBUTED EQUALLY. 9.1 INTRODUCTION ...................................................................................................235 9.2 PROBLEM S E T U P ............................................................................................... 238 9.2.1 MODEL CONSISTENCY FOR QUANTITATIVE MEASUREMENT DATA .... 239 9.2.2 MODEL CONSISTENCY FOR SEMI-QUANTITATIVE, QUALITATIVE DATA . . 240 9.2.3 SET-BASED MODEL INVALIDATION AND PARAMETER ESTIMATION .... 241 9.3 MODEL INVALIDATION BY FEASIBILITY A N A LY SIS ................................................. 242 9.3.1 FEASIBILITY PROBLEM FORMULATION FOR UNCERTAIN QUANTITATIVE DATA242 9.3.2 INCLUDING SEMI-QUANTITATIVE/QUALITATIVE DATA ............................242 9.3.3 RELAXATION INTO A MIXED-INTEGER LINEAR P RO G RA M ...................244 9.3.4 CONSIDERING RELATIONAL MEASUREMENT D A T A ............................ 248 9.3.5 REMARKS CONCERNING DISCRETIZATION E R R O R ............................... 248 9.4 EXAMPLE: IDENTIFICATION OF REACTION MECHANISMS ALLOWING PERFECT A D A P TA TIO N ......................................................................................................249 9.4.1 CONSIDERED MATHEMATICAL M O D E LS ........................................... 250 9.4.2 DESCRIPTION OF THE UNCERTAINTIES AND OF THE QUALITATIVE/ SEMI- QUANTITATIVE D A T A ............................................................................. 251 9.4.3 INVALIDATION OF MODEL A LTERNATIVES ........................................... 251 9.4.4 PARAMETER E STIM ATION................................................................. 253 9.5 C ONCLUSIONS......................................................................................................254 10 DETECTION AND ISOLATION OF PARAMETRIC FAULTS IN HYDRAULIC PUMPS USING A SET-BASED APPROACH AND QUANTITATIVE-QUALITATIVE FAULT SPECIFICATIONS 257 DANIEL HAST, ROLF FINDEISEN, STEFAN STREIF CONTROL ENGINEERING PRACTICE, 40:61-60, 2015. 10.1 INTRODUCTION ...................................................................................................257 10.2 PROBLEM STATEMENT AND SET-BASED ANALYSIS FRAM EWORK ........................... 261 10.2.1 OVERVIEW OF THE APPROACH AND OBJECTIVES ............................... 261 10.2.2 SET-BASED ANALYSIS FRAMEWORK USING CONVEX RELAXATIONS . . . 263 10.3 MODELING AXIAL PISTON P U M P S.......................................................................264 10.3.1 PHYSICAL MODEL OF THE P U M P .....................................................265 10.3.2 LOSS M O D E LS ................................................................................ 265 10.3.3 PUMP EFFICIENCIES....................................................................... 266 10.4 DERIVATION OF FAULT CANDIDATES FROM QUANTITATIVE-QUALITATIVE SPECIFI CATIONS ...............................................................................................................268 10.4.1 QUANTITATIVE-QUALITATIVE FAULT SPECIFICATION ............................ 269 10.4.2 DETERMINING THE PARAMETER SETS FOR THE FAULT CANDIDATES . . . 271 10.4.3 IMPROVING SET-BASED D IAGNOSABILITY ........................................ 271 10.5 ON-LINE FAULT DIAGNOSIS IN THE OPERATION P H A S E ........................................273 10.5.1 SET-BASED FAULT DETECTION AND ISO LATION .................................. 274 10.5.2 EXPERIMENTAL V A LID A TIO N ...........................................................274 10.6 DISCUSSION.........................................................................................................278 11 ESTIMATION OF CONSISTENT PARAMETER SETS FOR CONTINUOUS-TIME NONLINEAR SYSTEMS USING OCCUPATION MEASURES AND LMI RELAXATIONS 281 STEFAN STREIF, PHILIPP RUMSCHINSKI, DIDIER HENRION, ROLF FINDEISEN IN PROC. 52ND IEEE CONFERENCE ON DECISION AND CONTROL (CDC), PAGES 6379- 6384, FLORENCE, ITALY, 2013. 11.1 INTRODUCTION .................................................................................................. 281 11.2 PROBLEM FORMULATION......................................................................................283 11.3 OCCUPATION MEASURES AND LIOUVILLES E QUATION...........................................284 11.3.1 OCCUPATION M EASU RES ...................................................................... 285 11.3.2 LIOUVILLES E Q U ATIO N ..........................................................................286 11.3.3 ESTIMATING THE REGION OF A TTRACTIO N ..............................................287 11.3.4 SUM-OF-SQUARES RELAXATION OF THE INFINITE DIMENSIONAL LP . . . 287 11.4 CONSISTENT PARAMETER E STIM ATIO N ................................................................ 288 11.4.1 O UTER-APPROXIM ATION.......................................................................288 11.4.2 INNER-APPROXIMATION .......................................................................289 11.4.3 INCONSISTENCY C E RTIFIC A TE ................................................................ 290 11.5 EXAM PLE........................................................................................................... 291 11.6 DISCUSSION AND C ONCLUSIONS..........................................................................293 12 PROBABILISTIC AND SET-BASED MODEL INVALIDATION AND ESTIMATION USING LMIS 295 STEFAN STREIF, DIDIER HENRION, ROLF FINDEISEN IN PROC. 19TH IFAC WORLD CONGRESS, PAGES 4110-4115, CAPE TOWN, SOUTH AFRICA, 20IF- 12.1 INTRODUCTION .................................................................................................. 295 12.2 PROBLEM S E T U P ............................................................................................... 298 12.2.1 DYNAMICAL SYSTEM .............................................................................298 12.2.2 UNCERTAINTY D ESCRIPTIONS ................................................................ 298 12.2.3 PROBLEM S TA TE M E N T..........................................................................299 12.3 OUTER APPROXIMATION OF MOMENTS AND ESTIMATION OF PROBABILITY MASS 301 12.3.1 CONSTRAINED UNCERTAINTY PROPAGATION IN NONLINEAR CONTINUOUS-TIME S YSTEM S ................................................................ 301 12.3.2 ESTIMATION OF MOMENTS POINTWISE-IN-TIME.....................................303 12.3.3 ESTIMATION OF PROBABILITY MASS .................................................... 304 12.4 C O N C LU SIO N ..................................................................................................... 305 TEIL IV: AUSGEWAEHLTE ARBEITEN ZUR BEHANDLUNG VON STOCHASTISCHEN UNSICHERHEITSBESCHREIBUNGEN UND RO BUSTHEITSANFORDERUNGEN 13 OPTIMAL EXPERIMENT DESIGN FOR PROBABILISTIC MODEL DISCRIMINATION USING POLYNOMIAL CHAOS 309 STEFAN STREIF, FELIX PETZKE, ALI MESBAH, ROLF FINDEISEN, RICHARD D. BRAATZ IN PROC. 19TH IFAC WORLD CONGRESS, PAGES 4103-4109, CAPE TOWN, SOUTH AFRICA, 2014. 13.1 INTRODUCTION .................................................................................................. 309 13.2 PROBLEM FORMULATION...................................................................................... 311 13.3 UNCERTAINTY PROPAGATION USING POLYNOMIAL C HAOS.....................................312 13.3.1 POLYNOMIAL CHAOS EXPANSION .......................................................... 313 13.3.2 GALERKIN P RO JE C TIO N ..........................................................................314 13.3.3 COMPUTATION OF THE MOMENTS ....................................................... 315 13.4 EXPERIMENT DESIGN FOR MODEL D ISCRIM IN ATIO N ........................................... 315 13.4.1 MEASURE FOR DISSIMILARITY OF PROBABILITY D E N S ITIE S ..................... 316 13.4.2 MOMENT-BASED APPROXIMATION OF OUTPUT PROBABILITY DENSITIES CORRUPTED BY N O IS E ..........................................................................317 13.4.3 LEAST-COSTLY INPUT DESIGN FOR MODEL D ISCRIM INATION .................. 318 13.5 NUMERICAL ILLU S TRA TIO N ................................................................................... 319 13.5.1 MODEL D ESCRIP TIO N S..........................................................................319 13.5.2 INPUT D ESIGN...................................................................................... 319 13.6 C O N C LU SIO N ......................................................................................................320 14 ACTIVE FAULT DIAGNOSIS FOR NONLINEAR SYSTEMS WITH PROBABILISTIC UNCER TAINTIES 323 ALI MESBAH, STEFAN STREIF, ROLF FINDEISEN, RICHARD D. BRAATZ IN PROC. 19TH IFAC WORLD CONGRESS, PAGES 7079-7084, CAPE TOWN, SOUTH AFRICA, 2014. 14.1 INTRODUCTION ...................................................................................................323 14.2 PROBLEM FORMULATION...................................................................................... 325 14.3 POLYNOMIAL CHAOS EXPANSIONS.......................................................................326 14.4 ACTIVE FAULT DIAGNOSIS USING POLYNOMIAL CHAOS E X P AN SIO N S .................. 328 14.4.1 A METRIC FOR SIMILARITY OF TWO D ISTRIB U TIO N S...............................328 14.4.2 INPUT D ESIGN...................................................................................... 329 14.5 ACTIVE FAULT DIAGNOSIS OF A THREE-TANK SYSTEM UNDER PROBABILISTIC U N CERTAINTIES.................................................................................................. 331 14.6 C ONCLUSIONS......................................................................................................333 15 STOCHASTIC NONLINEAR MODEL PREDICTIVE CONTROL WITH PROBABILISTIC CON STRAINTS 335 ALI MESBAH, STEFAN STREIF, ROLF FINDEISEN, RICHARD D. BRAATZ IN PROC. AMERICAN CONTROL CONFERENCE (ACC), PAGES 2413-2419, PORTLAND, OREGON, 2014- LB .1 INTRODUCTION .................................................................................................335 15.2 PROBLEM FORMULATION......................................................................................337 15.3 POLYNOMIAL CHAOS EXPANSIONS ...................................................................... 339 15.4 STOCHASTIC MODEL PREDICTIVE C O N TR O L .......................................................... 340 15.5 STOCHASTIC CONTROL OF POLYMORPHIC TRANSFORMATIONS IN BATCH CRYSTAL LIZATION 342 15.6 CONCLUSIONS AND FUTURE W O RK ...................................................................... 348
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spelling	Streif, Stefan 1979- Verfasser (DE-588)1012427188 aut Estimation, fault diagnosis and control of uncertain nonlinear systems von Prof. Dr.-Ing. Stefan Streif Magdeburg 2017 348 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Habilitationsschrift Otto-von-Guericke-Universität Magdeburg 2017 Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Fehlererkennung (DE-588)4133764-5 gnd rswk-swf Lineares System (DE-588)4125617-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Fehlererkennung (DE-588)4133764-5 s Lineares System (DE-588)4125617-7 s Nichtlineares System (DE-588)4042110-7 s DE-604 B:DE-101 application/pdf http://d-nb.info/1147707960/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030250578&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Streif, Stefan 1979- Estimation, fault diagnosis and control of uncertain nonlinear systems Nichtlineares System (DE-588)4042110-7 gnd Fehlererkennung (DE-588)4133764-5 gnd Lineares System (DE-588)4125617-7 gnd
subject_GND	(DE-588)4042110-7 (DE-588)4133764-5 (DE-588)4125617-7 (DE-588)4113937-9
title	Estimation, fault diagnosis and control of uncertain nonlinear systems
title_auth	Estimation, fault diagnosis and control of uncertain nonlinear systems
title_exact_search	Estimation, fault diagnosis and control of uncertain nonlinear systems
title_full	Estimation, fault diagnosis and control of uncertain nonlinear systems von Prof. Dr.-Ing. Stefan Streif
title_fullStr	Estimation, fault diagnosis and control of uncertain nonlinear systems von Prof. Dr.-Ing. Stefan Streif
title_full_unstemmed	Estimation, fault diagnosis and control of uncertain nonlinear systems von Prof. Dr.-Ing. Stefan Streif
title_short	Estimation, fault diagnosis and control of uncertain nonlinear systems
title_sort	estimation fault diagnosis and control of uncertain nonlinear systems
topic	Nichtlineares System (DE-588)4042110-7 gnd Fehlererkennung (DE-588)4133764-5 gnd Lineares System (DE-588)4125617-7 gnd
topic_facet	Nichtlineares System Fehlererkennung Lineares System Hochschulschrift
url	http://d-nb.info/1147707960/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030250578&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT streifstefan estimationfaultdiagnosisandcontrolofuncertainnonlinearsystems

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