Computational methods for controller design:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
London [u.a.]
Springer
1998
|
| Series: | Lecture notes in control and information sciences
238 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 153 S. |
| ISBN: | 1852330759 |
Staff View
MARC
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| 264 | 1 | |a London [u.a.] |b Springer |c 1998 | |
| 300 | |a XI, 153 S. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 7 | |a Numerieke methoden |2 gtt | |
| 650 | 7 | |a Programmation linéaire |2 ram | |
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| 650 | 4 | |a Automatic control |x Mathematical models | |
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Record in the Search Index
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| adam_text |
CONTENTS
1.
INTRODUCTION
.
1
1.1
BACKGROUND
AND
MOTIVATION
.
1
1.2
MULTI-OBJECTIVE
CONTROL
AS
CONVEX
OPTIMIZATION
.
2
1.3
SOLUTIONS
OF
INFINITE
DIMENSIONAL
CONVEX
PROBLEMS
.
2
1.3.1
DUALITY
THEORY
AND
GENERALIZED
LINEAR
PROGRAMS
.
3
1.3.2
COMPUTATIONAL
METHODS
.
4
1.3.3
APPLICATIONS
.
4
1.3.4
A
NEW
METHOD
FOR
.
5
1.3.5
COMPUTATIONAL
METHODS
IN
STATE
SPACE
.
6
1.4
MAIN
CONTRIBUTIONS
.
6
2.
MATHEMATICAL
PRELIMINARIES
.
9
2.1
NORMED
SPACES
.
9
2.1.1
LMI
SPACES
.
11
2.2
CONVEX
CONES
.
12
2.3
CONVERGENCE
OF
SEQUENCES
.
13
2.4
BOUNDED
LINEAR
OPERATORS
.
13
2.4.1
OPERATORS
WITH
CLOSED
RANGE
.
14
2.5
SYSTEMS
AS
LINEAR
OPERATORS
ON
.
15
2.5.1
STABILITY
AND
BOUNDEDNESS
.
16
2.5.2
FINITE
DIMENSIONAL
LTI
SYSTEMS
.
17
2.6
RATIONAL
MATRICES
.
17
2.6.1
POLES
AND
ZEROS
.
18
2.7
NOTATION
SUMMARY
.
20
3.
MULTI-OBJECTIVE
CONTROL
.
21
3.1
CONTROL
PROBLEM
SETUP
.
21
3.2
FEASIBILITY
CONSTRAINTS
.
22
3.2.1
INTERPOLATION
CONDITIONS
.
23
3.3
CONTROL
OBJECTIVES
.
26
3.3.1
PERFORMANCE
WITH
FIXED
INPUTS
.
26
3.3.2
AVERAGE
AND
WORST-CASE
PERFORMANCE
.
27
3.3.3
PERFORMANCE
IN
THE
FREQUENCY
DOMAIN
.
27
3.3.4
LMI
CONSTRAINTS
.
27
X
CONTENTS
4.
GENERALIZED
LINEAR
PROGRAMS
AND
DUALITY
THEORY
.
31
4.1
CONTROL
PROBLEMS
AS
LINEAR
PROGRAMS
.
31
4.1.1
EXAMPLE
.
32
4.2
DUALITY
THEORY
RESULTS
.
33
4.2.1
EXAMPLE:
MIXED
L\
/FINITE-SIZE
LMI
PROBLEM
.
36
5.
OPTIMAL
CONTROL
WITH
CONSTRAINTS
ON
THE
STEP
RESPONSE
39
5.1
PROBLEM
DEFINITION
.
39
5.2
THE
FINITE-HORIZON
CASE
.
40
5.3
CONTROL
WITH
INFINITE
HORIZON
TIME-DOMAIN
CONSTRAINTS
.
43
5.3.1
APPROXIMATION
OF
THE
PRIMAL
.
45
5.4
EXAMPLE
.
46
5.4.1
FUNDAMENTAL
CLOSED
LOOP
LIMITATIONS
AND
PERFORMANCE
TRADEOFFS
.
49
6.
T-X
-MINIMIZATION
WITH
MAGNITUDE
CONSTRAINTS
IN
THE
FRE
QUENCY
DOMAIN
.
53
6.1
PROBLEM
STATEMENT
.
54
6.2
PRIMAL-DUAL
FORMULATION
.
56
6.2.1
EXAMPLE
.
57
6.3
LINEAR
PROGRAMMING
APPROXIMATION
.
59
6.3.1
APPROXIMATION
OF
THE
MAGNITUDE
CONSTRAINT
WITH
A
FI
NITE
NUMBER
OF
LINEAR
CONSTRAINTS
.
59
6.3.2
FINITE
DIMENSIONAL
APPROXIMATION
.
62
6.3.3
COUNTEREXAMPLE
FOR
MULTI-BLOCK
PROBLEMS
.
67
7.
MIXED
CONTROL
.
73
7.1
PROBLEM
STATEMENT
.
73
7.2
DUAL
PROBLEM
.
74
7.3
FINITE
DIMENSIONAL
DUAL
APPROXIMATION
.
78
7.3.1
ONE-BLOCK
PROBLEMS
.
81
7.3.2
EXAMPLE
.
83
8.
A
NEW
COMPUTATIONAL
METHOD
FOR
.
89
8.1
INTRODUCTION
.
89
8.1.1
COMPUTATIONAL
METHODS
.
89
8.2
NOTATION
AND
PROBLEM
SETUP
.
91
8.3
APPROXIMATION
METHOD
.
93
8.4
CONVERGENCE
PROPERTIES
.
94
8.4.1
CONVERGENCE
OF
THE
COST
HN
.
94
8.4.2
CONVERGENCE
OF
THE
UPPER
BOUNDS
.
95
8.4.3
A
SEQUENCE
OF
LOWER
BOUNDS
.
98
8.4.4
STRONG
CONVERGENCE
OF
THE
SUBOPTIMAL
SOLUTIONS
.
98
8.5
EXAMPLE
.
100
CONTENTS
XI
9.
NONLINEAR
CONTROLLERS
FOR
MINIMIZING
THE
WORST-CASE
PEAK
TO
PEAK
GAIN
.
105
9.1
NOTATION
AND
PRELIMINARIES
.
107
9.2
PROBLEM
SETUP
.
108
9.3
FINITE
HORIZON
FULL
STATE
FEEDBACK
.
108
9.3.1
THE
OPTIMALITY
PROBLEM
(THE
SCALAR
DISTURBANCE
CASE)
109
9.3.2
STRUCTURE
OF
THE
OPTIMAL
CONTROLLER
.
ILL
9.3.3
FEASIBILITY
PROBLEM
.
112
9.4
INFINITE
HORIZON
FULL
STATE
FEEDBACK
.
114
9.4.1
STABILIZING
SUBOPTIMAL
STRATEGIES
.
118
9.5
EXAMPLES
.
127
9.5.1
EXAMPLE
1
.
127
9.5.2
EXAMPLE
2
.
128
10.
CONCLUSIONS
.
131
A.
PROOFS
OF
RESULTS
IN
CHAPTER
5
.
133
B.
PROOFS
OF
RESULTS
IN
CHAPTER
6
.
137
C.
PROOFS
OF
RESULTS
IN
CHAPTER
8
.
139
D.
PROOFS
OF
RESULTS
IN
CHAPTER
9
.
143
REFERENCES
.
151 |
| any_adam_object | 1 |
| author | Elia, Nicola 1962- Dahleh, Munther A. 1962- |
| author_GND | (DE-588)120306417 (DE-588)120306441 |
| author_facet | Elia, Nicola 1962- Dahleh, Munther A. 1962- |
| author_role | aut aut |
| author_sort | Elia, Nicola 1962- |
| author_variant | n e ne m a d ma mad |
| building | Verbundindex |
| bvnumber | BV012068697 |
| callnumber-first | T - Technology |
| callnumber-label | TJ213 |
| callnumber-raw | TJ213 |
| callnumber-search | TJ213 |
| callnumber-sort | TJ 3213 |
| callnumber-subject | TJ - Mechanical Engineering and Machinery |
| classification_rvk | SI 845 |
| ctrlnum | (OCoLC)39508210 (DE-599)BVBBV012068697 |
| 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 |
| format | Book |
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| id | DE-604.BV012068697 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-28T13:01:30Z |
| institution | BVB |
| isbn | 1852330759 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008169590 |
| oclc_num | 39508210 |
| open_access_boolean | |
| owner | DE-739 DE-703 DE-706 DE-634 DE-83 |
| owner_facet | DE-739 DE-703 DE-706 DE-634 DE-83 |
| physical | XI, 153 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | Elia, Nicola 1962- Verfasser (DE-588)120306417 aut Computational methods for controller design Nicola Elia and Munther A. Dahleh London [u.a.] Springer 1998 XI, 153 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 238 Analyse numérique ram Commande automatique - Modèles mathématiques ram Controleleer gtt Numerieke methoden gtt Programmation linéaire ram Mathematisches Modell Automatic control Mathematical models Linear programming Numerical analysis Lineare Optimierung (DE-588)4035816-1 gnd rswk-swf L1-Algebra (DE-588)4373938-6 gnd rswk-swf Dualitätstheorie (DE-588)4150801-4 gnd rswk-swf Konvexe Optimierung (DE-588)4137027-2 gnd rswk-swf Reglerentwurf (DE-588)4177447-4 gnd rswk-swf Reglerentwurf (DE-588)4177447-4 s Konvexe Optimierung (DE-588)4137027-2 s Dualitätstheorie (DE-588)4150801-4 s DE-604 Lineare Optimierung (DE-588)4035816-1 s L1-Algebra (DE-588)4373938-6 s Dahleh, Munther A. 1962- Verfasser (DE-588)120306441 aut Lecture notes in control and information sciences 238 (DE-604)BV005848579 238 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008169590&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Elia, Nicola 1962- Dahleh, Munther A. 1962- Computational methods for controller design Lecture notes in control and information sciences Analyse numérique ram Commande automatique - Modèles mathématiques ram Controleleer gtt Numerieke methoden gtt Programmation linéaire ram Mathematisches Modell Automatic control Mathematical models Linear programming Numerical analysis Lineare Optimierung (DE-588)4035816-1 gnd L1-Algebra (DE-588)4373938-6 gnd Dualitätstheorie (DE-588)4150801-4 gnd Konvexe Optimierung (DE-588)4137027-2 gnd Reglerentwurf (DE-588)4177447-4 gnd |
| subject_GND | (DE-588)4035816-1 (DE-588)4373938-6 (DE-588)4150801-4 (DE-588)4137027-2 (DE-588)4177447-4 |
| title | Computational methods for controller design |
| title_auth | Computational methods for controller design |
| title_exact_search | Computational methods for controller design |
| title_full | Computational methods for controller design Nicola Elia and Munther A. Dahleh |
| title_fullStr | Computational methods for controller design Nicola Elia and Munther A. Dahleh |
| title_full_unstemmed | Computational methods for controller design Nicola Elia and Munther A. Dahleh |
| title_short | Computational methods for controller design |
| title_sort | computational methods for controller design |
| topic | Analyse numérique ram Commande automatique - Modèles mathématiques ram Controleleer gtt Numerieke methoden gtt Programmation linéaire ram Mathematisches Modell Automatic control Mathematical models Linear programming Numerical analysis Lineare Optimierung (DE-588)4035816-1 gnd L1-Algebra (DE-588)4373938-6 gnd Dualitätstheorie (DE-588)4150801-4 gnd Konvexe Optimierung (DE-588)4137027-2 gnd Reglerentwurf (DE-588)4177447-4 gnd |
| topic_facet | Analyse numérique Commande automatique - Modèles mathématiques Controleleer Numerieke methoden Programmation linéaire Mathematisches Modell Automatic control Mathematical models Linear programming Numerical analysis Lineare Optimierung L1-Algebra Dualitätstheorie Konvexe Optimierung Reglerentwurf |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008169590&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005848579 |
| work_keys_str_mv | AT elianicola computationalmethodsforcontrollerdesign AT dahlehmunthera computationalmethodsforcontrollerdesign |