Control of singular systems with abrupt changes

Library	Item Barcode	Call Number	Material Type	Item Category 1	Status
Searching... PSZ JB	30000010185292	TJ213 B68 2008	Open Access Book	Book	Searching... Unknown
Searching... SPACE KL Main Library	30000003491333	TJ213 B68 2008	Open Access Book	Book	Searching... Unknown

This book deals with the class of singular systems with random abrupt changes also known as singular Markovian jump systems. Various problems and their robustness are tackled. The book examines both the theoretical and practical aspects of the control problems from the angle of the structural properties of linear systems. It can be used as a textbook as well as a reference for researchers in control or mathematics with interest in control theory.

Part I Modeling and problem statements
1 Introduction	p. 3
1.1 Examples of Singular Systems	p. 4
1.2 Problem Statements	p. 10
1.3 Solution for the Dynamics	p. 14
1.4 Stochastic H[subscript 2] and H[subscript infinity] Norms	p. 16
1.5 Lemmas	p. 17
1.6 Notes	p. 18
Part II Stochastic stability
2 Stability	p. 23
2.1 Problem Statement	p. 23
2.2 Stability of Singular Systems	p. 25
2.3 Robust Stability	p. 32
2.4 Numerical Examples	p. 39
2.5 Notes	p. 43
Part III Stabilization
3 State Feedback Stabilization	p. 49
3.1 Problem Statement	p. 49
3.2 Design of State Feedback Stabilization	p. 51
3.3 Constant Gain State Feedback Stabilization	p. 67
3.4 Numerical Examples	p. 77
3.5 Notes	p. 80
4 H[subscript infinity] Stabilization	p. 81
4.1 Problem Statement	p. 81
4.2 H[subscript infinity] State Feedback Stabilization	p. 82
4.3 H[subscript infinity] Constant Gain Stabilization	p. 113
4.4 Numerical Examples	p. 127
4.5 Notes	p. 130
5 Output Feedback Stabilization	p. 131
5.1 Problem Statement	p. 131
5.2 Static Output Feedback	p. 133
5.3 H[subscript infinity] Static Output Feedback Control	p. 143
5.4 Numerical Examples	p. 151
5.5 Notes	p. 155
6 Observer-Based Feedback Stabilization	p. 157
6.1 Problem Statement	p. 158
6.2 Observer-Based Stabilization of Singular Systems	p. 159
6.3 Robust Observer-Based Stabilization of Singular Systems	p. 168
6.4 Numerical Example	p. 176
6.5 Notes	p. 179
Part IV Filtering
7 Filtering	p. 185
7.1 Problem Statement	p. 185
7.2 H[subscript infinity] Filtering for Nominal Systems	p. 187
7.3 Robust Filtering	p. 196
7.4 Numerical Examples	p. 209
7.5 Notes	p. 211
Part V Singular Optimal Control
8 Guaranteed Cost Control	p. 217
8.1 Problem Statement	p. 217
8.2 Guaranteed Cost Bound	p. 219
8.3 Guaranteed Cost Control Design	p. 222
8.4 Numerical Example	p. 228
8.5 Notes	p. 230
9 Mixed H[subscript 2]/H[subscript infinity] Control Problem	p. 231
9.1 Problem Statement	p. 232
9.2 Mixed H[subscript 2]/H[subscript infinity] Control: Nominal Case	p. 235
9.3 Mixed H[subscript 2]/H[subscript infinity] Control: Uncertain Case	p. 242
9.4 Numerical Example	p. 248
9.5 Notes	p. 250
10 Computation Tools	p. 251
10.1 Transformation	p. 251
10.2 YALMIP and SeDuMi	p. 252
References	p. 257
Index	p. 265

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