Optimal and robust control: advanced topics with MATLAB
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Boca Raton [u.a.]
CRC Press
2012
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024742885&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Includes bibliographical references and index |
| Umfang: | XVIII, 233 S. graph. Darst. |
| ISBN: | 9781466501911 146650191X |
Internformat
MARC
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| 003 | DE-604 | ||
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| 020 | |a 9781466501911 |9 978-1-4665-0191-1 | ||
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| 100 | 1 | |a Fortuna, Luigi |d 1953- |e Verfasser |0 (DE-588)120958791 |4 aut | |
| 245 | 1 | 0 | |a Optimal and robust control |b advanced topics with MATLAB |c ed. by Luigi Fortuna ... |
| 264 | 1 | |a Boca Raton [u.a.] |b CRC Press |c 2012 | |
| 300 | |a XVIII, 233 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Robust control / Mathematical models | |
| 650 | 4 | |a Linear systems | |
| 650 | 4 | |a Automatic control | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING / Electrical |2 bisacsh | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING / Electronics / Microelectronics |2 bisacsh | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING / Mechanical |2 bisacsh | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 0 | 7 | |a Robuste Regelung |0 (DE-588)4206985-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a MATLAB |0 (DE-588)4329066-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Robuste Regelung |0 (DE-588)4206985-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a MATLAB |0 (DE-588)4329066-8 |D s |
| 689 | 1 | |5 DE-604 | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024742885&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-024742885 | |
Datensatz im Suchindex
| _version_ | 1819344774220480512 |
|---|---|
| adam_text | Contents
List of Figures
xi
Preface
xv
Symbol List
xvii
1
Modelling of uncertain systems and the robust control prob¬
lem
1
1.1
Uncertainty and robust control
................ 1
1.2
The essential chronology of major findings into robust control
6
2
Fundamentals of stability
9
2.1
Lyapunov criteria
........................ 9
2.2
Positive definite matrices
................... 11
2.3
Lyapunov theory for linear time-invariant systems
..... 14
2.4
Lyapunov equations
...................... 18
2.5
Stability with uncertainty
................... 21
2.6
Exercises
............................ 24
3
Kalman
canonical decomposition
27
3.1
Introduction
........................... 27
3.2
Controllability canonical partitioning
............. 29
3.3
Observability canonical partitioning
............. 31
3.4
General partitioning
...................... 32
3.5
Remarks on
Kalman
decomposition
.............. 39
3.6
Exercises
............................ 40
4
Singular value decomposition
43
4.1
Singular values of a matrix
.................. 43
4.2
Spectral norm and condition number of a matrix
...... 45
4.3
Exercises
............................ 50
vn
Vlil
5
Open-loop balanced realization
51
5.1
Controllability and observability gramians
.......... 51
5.2
Principal component analysis
................. 54
5.3
Principal component analysis applied to linear systems
... 55
5.4
State transformations of gramians
.............. 58
5.5
Singular values of linear time-invariant systems
....... 60
5.6
Computing the open-loop balanced realization
....... 61
5.7
Balanced realization for discrete-time linear systems
.... 65
5.8
Exercises
............................ 67
6
Reduced order models
69
6.1
Reduced order models based on the open-loop balanced real¬
ization
.............................. 70
6.1.1
Direct truncation method
............... 71
6.1.2
Singular perturbation method
............. 72
6.2
Reduced order model exercises
................ 74
6.3
Exercises
............................ 77
7
Symmetrical systems
79
7.1
Reduced order models for
SISO
systems
........... 79
7.2
Properties of symmetrical systems
.............. 81
7.3
The cross-gramian matrix
................... 83
7.4
Relations between W;?, W^ and Wco
............. 83
7.5
Open-loop parameterization
.................. 89
7.6
Relation between the Cauchy index and the Hankel matrix
91
7.7
Singular values for a FIR filter
................ 92
7.8
Singular values of all-pass systems
.............. 95
7.9
Exercises
............................ 96
8
Linear quadratic optimal control
99
8.1
LQR optimal control
...................... 99
8.2
Hamiltonian matrices
..................... 105
8.3
Resolving the Riccati equation by Hamiltonian matrix
. . . 109
8.4
The Control Algebraic Riccati Equation
........... 110
8.5
Optimal control for
SISO
systems
...............
Ill
8.6
Linear quadratic regulator with cross-weighted cost
..... 117
8.7
Finite-horizon linear quadratic regulator
........... 117
8.8
Optimal control for discrete-time linear systems
....... 118
8.9
Exercises
............................ 119
їх
9
Closed-loop balanced realization
121
9.1
Filtering Algebraic Riccati Equation
............. 122
9.2
Computing the closed-loop balanced realization
....... 124
9.3
Procedure for closed-loop balanced realization
........ 125
9.4
Reduced order models based on closed-loop balanced realiza¬
tion
............................... 127
9.5
Closed-loop balanced realization for symmetrical systems
. 131
9.6
Exercises
............................ 132
10
Passive and bounded-real systems
135
10.1
Passive systems
......................... 135
10.1.1
Passivity in the frequency domain
........... 136
10.1.2
Passivity in the time domain
.............. 141
10.1.3
Factorizing positive-real functions
........... 143
10.1.4
Passification
....................... 143
10.1.5
Passive reduced order models
............. 148
10.1.6
Energy considerations connected to the Positive-Real
Lemma
.......................... 148
10.1.7
Closed-loop stability and positive-real systems
.... 149
10.1.8
Optimal gain for loss-less systems
........... 150
10.2
Circuit implementation of positive-real systems
....... 152
10.3
Bounded-real systems
..................... 153
10.3.1
Properties of bounded-real systems
.......... 156
10.3.2
Bounded-real reduced order models
.......... 157
10.4
Relationship between passive and bounded-real systems
. . 157
10.5
Exercises
............................ 158
11
Нж
linear control
161
11.1
Introduction
........................... 161
11.2
Solution of the
Яоо
linear control problem
.......... 163
11.3
The
Яоо
linear control and the uncertainty problem
.... 168
11.4
Exercises
............................ 171
12
Linear Matrix Inequalities for optimal and robust control
173
12.1
Definition and properties of LMI
............... 173
12.2
LMI problems
.......................... 175
12.2.1
Feasibility problem
................... 175
12.2.2
Linear objective minimization problem
........ 176
12.2.3
Generalized eigenvalue minimization problem
.... 176
12.3
Formulation of control problems in LMI terms
....... 176
12.3.1
Stability
......................... 177
12.3.2
Simultaneous stabilizability
.............. 177
12.3.3
Positive real lemma
................... 178
12.3.4
Bounded real lemma
.................. 178
12.3.5
Calculating the
Нж
norm through LMI
........ 178
12.4
Solving a LMI problem
.................... 179
12.5
LMI problem for simultaneous stabilizability
........ 181
12.6
Solving algebraic Riccati equations through LMI
...... 184
12.7
Computation of gramians through LMI
........... 187
12.8
Computation of the Hankel norm through LMI
....... 188
12.9
Hx control
........................... 190
12.10
Multiobjective control
..................... 192
12.11
Exercises
............................ 198
13
The class of stabilizing controllers
201
13.1
Parameterization of stabilizing controllers for stable processes
201
13.2
Parameterization of stabilizing controllers for unstable pro¬
cesses
.............................. 203
13.3
Parameterization of stable controllers
............ 206
13.4
Simultaneous stabilizability of two systems
......... 209
13.5
Coprirne
factorizations for
MIMO
systems and unitary factor¬
ization
.............................. 210
13.6
Parameterization in presence of uncertainty
......... 211
13.7
Exercises
............................ 214
Recommended essential references
217
Appendix A. Norms
223
Appendix B. Algebraic Riccati Equations
227
Index
231
|
| any_adam_object | 1 |
| author | Fortuna, Luigi 1953- |
| author_GND | (DE-588)120958791 |
| author_facet | Fortuna, Luigi 1953- |
| author_role | aut |
| author_sort | Fortuna, Luigi 1953- |
| author_variant | l f lf |
| building | Verbundindex |
| bvnumber | BV039883716 |
| classification_rvk | ZQ 5220 |
| ctrlnum | (OCoLC)748331619 (DE-599)BVBBV039883716 |
| 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 | Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Book |
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| id | DE-604.BV039883716 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T16:04:29Z |
| institution | BVB |
| isbn | 9781466501911 146650191X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024742885 |
| oclc_num | 748331619 |
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| owner | DE-703 DE-522 |
| owner_facet | DE-703 DE-522 |
| physical | XVIII, 233 S. graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | CRC Press |
| record_format | marc |
| spellingShingle | Fortuna, Luigi 1953- Optimal and robust control advanced topics with MATLAB Robust control / Mathematical models Linear systems Automatic control TECHNOLOGY & ENGINEERING / Electrical bisacsh TECHNOLOGY & ENGINEERING / Electronics / Microelectronics bisacsh TECHNOLOGY & ENGINEERING / Mechanical bisacsh Mathematisches Modell Robuste Regelung (DE-588)4206985-3 gnd MATLAB (DE-588)4329066-8 gnd |
| subject_GND | (DE-588)4206985-3 (DE-588)4329066-8 |
| title | Optimal and robust control advanced topics with MATLAB |
| title_auth | Optimal and robust control advanced topics with MATLAB |
| title_exact_search | Optimal and robust control advanced topics with MATLAB |
| title_full | Optimal and robust control advanced topics with MATLAB ed. by Luigi Fortuna ... |
| title_fullStr | Optimal and robust control advanced topics with MATLAB ed. by Luigi Fortuna ... |
| title_full_unstemmed | Optimal and robust control advanced topics with MATLAB ed. by Luigi Fortuna ... |
| title_short | Optimal and robust control |
| title_sort | optimal and robust control advanced topics with matlab |
| title_sub | advanced topics with MATLAB |
| topic | Robust control / Mathematical models Linear systems Automatic control TECHNOLOGY & ENGINEERING / Electrical bisacsh TECHNOLOGY & ENGINEERING / Electronics / Microelectronics bisacsh TECHNOLOGY & ENGINEERING / Mechanical bisacsh Mathematisches Modell Robuste Regelung (DE-588)4206985-3 gnd MATLAB (DE-588)4329066-8 gnd |
| topic_facet | Robust control / Mathematical models Linear systems Automatic control TECHNOLOGY & ENGINEERING / Electrical TECHNOLOGY & ENGINEERING / Electronics / Microelectronics TECHNOLOGY & ENGINEERING / Mechanical Mathematisches Modell Robuste Regelung MATLAB |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024742885&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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