Switching in systems and control:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Birkhäuser
2012
|
| Edition: | [softcover repr. of the original 1. ed. 2003] |
| Series: | Systems & control
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Item Description: | Includes bibliographical references (p. [203]-227) and index |
| Physical Description: | XI, 233 S. graph. Darst. |
| ISBN: | 9781461265740 1461265746 |
Staff View
MARC
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| 020 | |a 1461265746 |9 1-4612-6574-6 | ||
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| 100 | 1 | |a Liberzon, Daniel |d 1973- |e Verfasser |0 (DE-588)14097637X |4 aut | |
| 245 | 1 | 0 | |a Switching in systems and control |c Daniel Liberzon |
| 250 | |a [softcover repr. of the original 1. ed. 2003] | ||
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 2012 | |
| 300 | |a XI, 233 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Systems & control | |
| 500 | |a Includes bibliographical references (p. [203]-227) and index | ||
| 650 | 7 | |a Controleleer |2 gtt | |
| 650 | 7 | |a Schakelingen |2 gtt | |
| 650 | 7 | |a Systeemtheorie |2 gtt | |
| 650 | 4 | |a Automatic control | |
| 650 | 4 | |a Switching theory | |
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| 650 | 0 | 7 | |a Hybrides System |0 (DE-588)4510314-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kontrolltheorie |0 (DE-588)4032317-1 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1804152929207189504 |
|---|---|
| adam_text | Contents
Preface :bt:
I Introduction
1
1
Basic Concepts
3
1.1
Classes of hybrid and switched systems
............ 3
1.1.1
State-dependent switching
............... 5
1.1.2
Time-dependent switching
............... 6
1.1.3
Autonomous and controlled switching
........ 8
1.2
Solutions of switched systems
................. 9
1.2.1
Ordinary differential equations
............ 9
1.2.2
Zeno
behavior
...................... 10
1.2.3
Sliding modes
...................... 12
1.9:.4
Hysteresis Gwiichmg
.................. 14
IT Stability of Switched Systems
;I V
2
Stability
unde:»
Arbitrary Switching r-r/.i.
2.1
Uniform stability and common Lyapimov fimctionsj
..... 21
2.1.1
Uniform stability concepts
............... 21
2.1.2
Common Lyapunov functions
............. 29
2.1.3
A converse Lyapunov theorem
............ 24
2.1.4
Switched linear systems
................ 26
vi
Contents
2.1.5
A
counterexample
................... 28
2.2
Commutation relations and stability
............. 30
2.2.1
Commuting systems
.................. 30
2.2.2 Nilpotent
and solvable Lie algebras
.......... 34
2.2.3
More general Lie algebras
............... 37
2.2.4
Discussion of Lie-algebraic stability criteria
..... 41
2.3
Systems with special structure
................ 42
2.3.1
Triangular systems
................... 43
2.3.2
Feedback systems
.................... 45
2.3.3
Two-dimensional systems
............... 51
3
Stability under Constrained Switching
53
3.1
Multiple Lyapunov functions
................. 53
3.2
Stability under slow switching
................. 56
3.2.1
Dwell time
....................... 56
3.2.2
Average dwell time
.........,......... 58
3.3
Stability under state-dependent switching
.......... 61
3.4
Stabilization by state-dependent switching
.......... 65
3.4.1
Stable convex combinations
.............. 65
3.4.2
Unstable convex combinations
............ 68
III Switching Control
73
4
Systems Not Stabilizable by Continuous Feedback
77
4.1
Obstructions to continuous stabilization
........... 77
4.1.1
State-space obstacles
.................. 77
4.1.2
Brockett s condition
.................. 79
4.2
Nonholonomic systems
..................... 81
4.2.1
The unicycle and the nonholonomic integrator
... 83
4.3
Stabilizing an inverted pendulum
............... 89
5
Systems with Sensor or Actuator Constraints
93
5.1
The bang-bang principle of time-optimal control
...... 93
5.2
Hybrid output feedback
.................... 96
5.3
Hybrid control of systems with quantization
......... 100
5.3.1
Quantizers
....................... 100
5.3.2
Static state quantization
................ 103
5.3.3
Dynamic state quantization
.............. 108
5.3.4
Input quantization
................... 116
5.3.5
Output quantization
.................. 121
5.3.6
Active probing for information
............ 124
6
Systems with Large Modeling Uncertainty
129
6,1
Introductory remarks
...................... 129
Contents
vii
6.2 First
pass: basic architecture
................. 131
6.3
An example: linear supervisory control
............ 134
6.4
Second pass: design objectives
................. 137
6.5
Third pass: achieving the design objectives
......... 139
6.5.1
Multi-estimators
.................... 139
6.5.2
Candidate controllers
................. 142
6.5.3
Switching logics
..................... 145
6.6
Linear supervisory control revisited
.............. 154
6.6.1
Finite parametric uncertainty
............. 156
6.6.2
Infinite parametric uncertainty
............ 159
6.7
Nonlinear supervisory control
................. 160
6.8
An example: a nonholonomic system with uncertainty
. . . 163
IV
S
upp
le
me
nt
ary
Material
167
A Stability
169
A.I Stability definitions
....................... 169
Л.2
Function
classer)
/С,
/Coc,
and
¡Cf ,
,,.,.,,.,...... 1.70
Α.
3
Lyapunov s direct (second) method
,,.......,.,,, 171
A.
4
LaSalle s
invariance
principle
................,
і
73
A.
5
Lyapunov s indirect (first) method
.............. 174
A.
6
Input-to-state stability
..................... 175
В
Lie Algebras
179
B.I Lie algebras and their representations
............ 179
B.2 Example: sl(2,R)
andp¿(2,K)
................. 180
B.3
Nilpotent
and solvable Lie algebras
.............. 181
B.4
Semisimple
and compact Lie algebras
............. 181
B.5 Subalgebras isomorphic to
ѕ1(2,Ш)
.............. 182
В.
6
Generators for
ді(п.Ш)
..................... 183
Notes and References
185
Bibliography ^(K>
Notation ipiV
Index
АЬ У
This book examines switched systems from a control-theoretic
perspective, focusing on stability analysis and control synthesis of
systems that combine continuous dynamics with switching events.
The theory of such switched systems is related to the study of
hybrid systems, which has recently attracted considerable attention
among control theorists, computer scientists, and practicing
engineers. Aimed at readers with a background in systems and
control, this book bridges the gap between classical mathematical
control theory and the interdisciplinary field of hybrid systems.
The book is divided into three main parts:
•
Part I introduces the classes of systems studied in the book
•
Part II develops stability theory for switched systems; it covers
single and multiple Lyapunov function analysis methods, Lie-
algebraic stability criteria, stability under limited-rate switching,
and switched systems with various types of useful special
structures
•
Part III is devoted to switching control design; it describes several
wide classes of continuous-time control systems for which the
logic-based switching paradigm emerges naturally as a control
design tool. Switching control algorithms for several specific
problems are discussed.
The text adopts a progressive approach, presenting elementary
concepts informally and more advanced topics with greater rigor.
Results are first derived for linear systems and then extended to
nonlinear systems. Full proofs for most results are provided. An
extensive bibliography and a section of technical and historical
notes complete the work.
Requiring only familiarity with the basic theory of linear systems, the
book is suitable as a text for a graduate course on switched systems
and switching control. It may also serve as an introduction to this
active area of research for control theorists and mathematicians,
as well as a useful reference for experts in the field.
|
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| discipline | Elektrotechnik Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| edition | [softcover repr. of the original 1. ed. 2003] |
| format | Book |
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| isbn | 9781461265740 1461265746 |
| language | English |
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| physical | XI, 233 S. graph. Darst. |
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| series2 | Systems & control |
| spelling | Liberzon, Daniel 1973- Verfasser (DE-588)14097637X aut Switching in systems and control Daniel Liberzon [softcover repr. of the original 1. ed. 2003] Boston [u.a.] Birkhäuser 2012 XI, 233 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Systems & control Includes bibliographical references (p. [203]-227) and index Controleleer gtt Schakelingen gtt Systeemtheorie gtt Automatic control Switching theory Schaltsystem (DE-588)4179385-7 gnd rswk-swf Hybrides System (DE-588)4510314-8 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Hybrides System (DE-588)4510314-8 s Schaltsystem (DE-588)4179385-7 s Kontrolltheorie (DE-588)4032317-1 s DE-604 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763586&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763586&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Liberzon, Daniel 1973- Switching in systems and control Controleleer gtt Schakelingen gtt Systeemtheorie gtt Automatic control Switching theory Schaltsystem (DE-588)4179385-7 gnd Hybrides System (DE-588)4510314-8 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4179385-7 (DE-588)4510314-8 (DE-588)4032317-1 |
| title | Switching in systems and control |
| title_auth | Switching in systems and control |
| title_exact_search | Switching in systems and control |
| title_full | Switching in systems and control Daniel Liberzon |
| title_fullStr | Switching in systems and control Daniel Liberzon |
| title_full_unstemmed | Switching in systems and control Daniel Liberzon |
| title_short | Switching in systems and control |
| title_sort | switching in systems and control |
| topic | Controleleer gtt Schakelingen gtt Systeemtheorie gtt Automatic control Switching theory Schaltsystem (DE-588)4179385-7 gnd Hybrides System (DE-588)4510314-8 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Controleleer Schakelingen Systeemtheorie Automatic control Switching theory Schaltsystem Hybrides System Kontrolltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763586&sequence=000003&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=027763586&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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