Stability analysis and design for nonlinear singular systems:
<p>Singular systems which are also referred to as descriptor systems, semi-state systems, differential- algebraic systems or generalized state-space systems have attracted much attention because of their extensive applications in the Leontief dynamic model, electrical and mechanical models, et...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2013
|
| Schriftenreihe: | Lecture notes in control and information sciences
435 |
| Schlagworte: | |
| Online-Zugang: | BTU01 FHA01 FHI01 FHN01 FHR01 FKE01 FWS01 UBY01 Volltext Inhaltsverzeichnis Abstract |
| Zusammenfassung: | <p>Singular systems which are also referred to as descriptor systems, semi-state systems, differential- algebraic systems or generalized state-space systems have attracted much attention because of their extensive applications in the Leontief dynamic model, electrical and mechanical models, etc. This monograph presented up-to-date research developments and references on stability analysis and design of nonlinear singular systems. It investigated the problems of practical stability, strongly absolute stability, input-state stability and observer design for nonlinear singular systems and the problems of absolute stability and multi-objective control for nonlinear singularly perturbed systems by using Lyapunov stability theory, comparison principle, S-procedure and linear matrix inequality (LMI), etc. </p><p>Practical stability, being quite different from stability in the sense of Lyapunov, is a significant performance specification from an engineering point of view. |
| Beschreibung: | 1 Online-Ressource (XII, 212 p. 32 illus) |
| ISBN: | 9783642321443 |
| DOI: | 10.1007/978-3-642-32144-3 |
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| adam_text | STABILITY ANALYSIS AND DESIGN FOR NONLINEAR SINGULAR SYSTEMS
/ YANG, CHUNYU
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PRACTICAL STABILITY ANALYSIS AND SYNTHESIS FOR NONLINEAR SINGULAR
SYSTEMS
3 STRONGLY ABSOLUTE STABILITY ANALYSIS FOR LUR’E SINGULAR
4 INPUT-TO-STATE STABILITY ANALYSIS AND DESIGN FOR LUR’E SINGULAR
SYSTEMS
5 OBSERVER DESIGN FOR NONLINEAR SINGULAR
SYSTEMS
6 ABSOLUTE STABILITY OF LUR’E SINGULARLY PERTURBED
SYSTEMS
7 MULTI-OBJECTIVE CONTROL FOR T-S FUZZY SINGULARLY PERTURBED SYSTEMS. 4
INPUT-TO-STATE STABILITY ANALYSIS AND DESIGN FOR LUR’E SINGULAR
SYSTEMS
5 OBSERVER DESIGN FOR NONLINEAR SINGULAR
SYSTEMS
6 ABSOLUTE STABILITY OF LUR’E SINGULARLY PERTURBED
SYSTEMS
7 MULTI-OBJECTIVE CONTROL FOR T-S FUZZY SINGULARLY PERTURBED SYSTEMS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
STABILITY ANALYSIS AND DESIGN FOR NONLINEAR SINGULAR SYSTEMS
/ YANG, CHUNYU
: 2013
ABSTRACT / INHALTSTEXT
SINGULAR SYSTEMS WHICH ARE ALSO REFERRED TO AS DESCRIPTOR SYSTEMS,
SEMI-STATE SYSTEMS, DIFFERENTIAL- ALGEBRAIC SYSTEMS OR GENERALIZED
STATE-SPACE SYSTEMS HAVE ATTRACTED MUCH ATTENTION BECAUSE OF THEIR
EXTENSIVE APPLICATIONS IN THE LEONTIEF DYNAMIC MODEL, ELECTRICAL AND
MECHANICAL MODELS, ETC. THIS MONOGRAPH PRESENTED UP-TO-DATE RESEARCH
DEVELOPMENTS AND REFERENCES ON STABILITY ANALYSIS AND DESIGN OF
NONLINEAR SINGULAR SYSTEMS. IT INVESTIGATED THE PROBLEMS OF PRACTICAL
STABILITY, STRONGLY ABSOLUTE STABILITY, INPUT-STATE STABILITY AND
OBSERVER DESIGN FOR NONLINEAR SINGULAR SYSTEMS AND THE PROBLEMS OF
ABSOLUTE STABILITY AND MULTI-OBJECTIVE CONTROL FOR NONLINEAR SINGULARLY
PERTURBED SYSTEMS BY USING LYAPUNOV STABILITY THEORY, COMPARISON
PRINCIPLE, S-PROCEDURE AND LINEAR MATRIX INEQUALITY (LMI), ETC.
PRACTICAL STABILITY, BEING QUITE DIFFERENT FROM STABILITY IN THE SENSE
OF LYAPUNOV, IS A SIGNIFICANT PERFORMANCE SPECIFICATION FROM AN
ENGINEERING POINT OF VIEW.THE BASIC CONCEPTS AND RESULTS ON PRACTICAL
STABILITY FOR STANDARD STATE-SPACE SYSTEMS WERE GENERALIZED TO SINGULAR
SYSTEMS. FOR LUR’E TYPE DESCRIPTOR SYSTEMS (LDS) WHICH WERE THE
FEEDBACK INTERCONNECTION OF A DESCRIPTOR SYSTEM WITH A STATIC
NONLINEARITY, STRONGLY ABSOLUTE STABILITY WAS DEFINED AND CIRCLE
CRITERION AND POPOV CRITERION WERE DERIVED. THE NOTION OF INPUT-STATE
STABILITY (ISS) FOR NONLINEAR SINGULAR SYSTEMS WAS DEFINED BASED ON THE
CONCEPT OF ISS FOR STANDARD STATE-SPACE SYSTEMS AND THE CHARACTERISTICS
OF SINGULAR SYSTEMS. LMI-BASED SUFFICIENT CONDITIONS FOR ISS OF LUR’E
SINGULAR SYSTEMS WERE PROPOSED. FURTHERMORE, OBSERVER DESIGN FOR
NONLINEAR SINGULAR SYSTEMS WAS STUDIED AND SOME OBSERVER DESIGN METHODS
WERE PROPOSED BY THE OBTAINED STABILITY RESULTS AND CONVEX OPTIMIZATION
ALGORITHMS. FINALLY, ABSOLUTE STABILITY AND MULTI-OBJECTIVE CONTROL OF
NONLINEAR SINGULARLY PERTURBED SYSTEMS WERE CONSIDERED.BY LYAPUNOV
FUNCTIONS, ABSOLUTE STABILITY CRITERIA OF LUR’E SINGULARLY PERTURBED
SYSTEMS WERE PROPOSED AND MULTI-OBJECTIVE CONTROL OF T-S FUZZY
SINGULARLY PERTURBED SYSTEMS WAS ACHIEVED. COMPARED WITH THE EXISTING
RESULTS, THE OBTAINED METHODS DO NOT DEPEND ON THE DECOMPOSITION OF THE
ORIGINAL SYSTEM AND CAN PRODUCE A DETERMINATE UPPER BOUND FOR THE
SINGULAR PERTURBATION PARAMETER
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Yang, Chunyu Zhang, Qingling Zhou, Linna |
| author_facet | Yang, Chunyu Zhang, Qingling Zhou, Linna |
| author_role | aut aut aut |
| author_sort | Yang, Chunyu |
| author_variant | c y cy q z qz l z lz |
| building | Verbundindex |
| bvnumber | BV040904644 |
| classification_rvk | SI 845 |
| collection | ZDB-2-ENG |
| ctrlnum | (OCoLC)820469153 (DE-599)BVBBV040904644 |
| dewey-full | 629.8 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.8 |
| dewey-search | 629.8 |
| dewey-sort | 3629.8 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| doi_str_mv | 10.1007/978-3-642-32144-3 |
| format | Electronic eBook |
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| language | English |
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| publisher | Springer |
| record_format | marc |
| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spellingShingle | Yang, Chunyu Zhang, Qingling Zhou, Linna Stability analysis and design for nonlinear singular systems Lecture notes in control and information sciences Ingenieurwissenschaften Engineering Systems theory Physics Stabilität (DE-588)4056693-6 gnd Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Nichtlineares System (DE-588)4042110-7 gnd |
| subject_GND | (DE-588)4056693-6 (DE-588)4229517-8 (DE-588)4042110-7 |
| title | Stability analysis and design for nonlinear singular systems |
| title_auth | Stability analysis and design for nonlinear singular systems |
| title_exact_search | Stability analysis and design for nonlinear singular systems |
| title_full | Stability analysis and design for nonlinear singular systems Chunyu Yang ; Qingling Zhang ; Linna Zhou |
| title_fullStr | Stability analysis and design for nonlinear singular systems Chunyu Yang ; Qingling Zhang ; Linna Zhou |
| title_full_unstemmed | Stability analysis and design for nonlinear singular systems Chunyu Yang ; Qingling Zhang ; Linna Zhou |
| title_short | Stability analysis and design for nonlinear singular systems |
| title_sort | stability analysis and design for nonlinear singular systems |
| topic | Ingenieurwissenschaften Engineering Systems theory Physics Stabilität (DE-588)4056693-6 gnd Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Nichtlineares System (DE-588)4042110-7 gnd |
| topic_facet | Ingenieurwissenschaften Engineering Systems theory Physics Stabilität Differential-algebraisches Gleichungssystem Nichtlineares System |
| url | https://doi.org/10.1007/978-3-642-32144-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025884112&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025884112&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV014011570 |
| work_keys_str_mv | AT yangchunyu stabilityanalysisanddesignfornonlinearsingularsystems AT zhangqingling stabilityanalysisanddesignfornonlinearsingularsystems AT zhoulinna stabilityanalysisanddesignfornonlinearsingularsystems |