Advances in Linear Matrix Inequality Methods in Control (Advances in Design and Control) 9780898714388, 0898714389
Linear matrix inequalities (LMIs) have recently emerged as useful tools for solving a number of control problems. This b
434 70 434KB
English Pages 401 Year 1987
Table of contents :
Advances in Linear Matrix Inequality Methods in Control......Page 2
Advances in Design and Control......Page 3
ISBN 0-89871-438-9......Page 5
Contributors......Page 6
Contents......Page 10
Preface......Page 18
Notation......Page 26
Part I Introduction......Page 30
1 Robust Decision Problems in Engineering: A Linear Matrix Inequality Approach......Page 32
Part II Algorithms and Software......Page 68
2 Mixed Semidefinite-Quadratic-Linear Programs......Page 70
3 Nonsmooth Algorithms to Solve Semidefinite Programs......Page 86
4 sdpsol: A Parser/Solver for Semidefinite Programs with Matrix Structure......Page 108
Part III Analysis......Page 122
5 Parametric Lyapunov Functions for Uncertain Systems: The Multiplier Approach......Page 124
6 Optimization of Integral Quadratic Constraints......Page 138
7 Linear Matrix Inequality Methods for Robust H2 Analysis: A Survey with Comparisons......Page 158
Part IV Synthesis......Page 182
8 Robust H2 Control......Page 184
9 A Linear Matrix Inequality Approach to the Design of Robust H2 Filters......Page 204
10 Robust Mixed Control and Linear Parameter-Varying Control with Full Block Scalings......Page 216
11 Advanced Gain-Scheduling Techniques for Uncertain Systems......Page 238
12 Control Synthesis for Well-Posedness of Feedback Systems......Page 258
Part V Nonconvex Problems......Page 278
13 Alternating Projection Algorithms for Linear Matrix Inequalities Problems with Rank Constraints......Page 280
14 Bilinearity and Complementarity in Robust Control......Page 298
Part VI Applications......Page 322
15 Linear Controller Design for the NEC Laser Bonder via Linear Matrix Inequality Optimization......Page 324
16 Multiobjective Robust Control Toolbox for Linear-Matrix-Inequality-Based Control......Page 338
17 Multiobjective Control for Robot Telemanipulators......Page 350
Bibliography......Page 370
Index......Page 398
Advances in Linear Matrix Inequality Methods in Control......Page 2
Advances in Design and Control......Page 3
ISBN 0-89871-438-9......Page 5
Contributors......Page 6
Contents......Page 10
Preface......Page 18
Notation......Page 26
Part I Introduction......Page 30
1 Robust Decision Problems in Engineering: A Linear Matrix Inequality Approach......Page 32
Part II Algorithms and Software......Page 68
2 Mixed Semidefinite-Quadratic-Linear Programs......Page 70
3 Nonsmooth Algorithms to Solve Semidefinite Programs......Page 86
4 sdpsol: A Parser/Solver for Semidefinite Programs with Matrix Structure......Page 108
Part III Analysis......Page 122
5 Parametric Lyapunov Functions for Uncertain Systems: The Multiplier Approach......Page 124
6 Optimization of Integral Quadratic Constraints......Page 138
7 Linear Matrix Inequality Methods for Robust H2 Analysis: A Survey with Comparisons......Page 158
Part IV Synthesis......Page 182
8 Robust H2 Control......Page 184
9 A Linear Matrix Inequality Approach to the Design of Robust H2 Filters......Page 204
10 Robust Mixed Control and Linear Parameter-Varying Control with Full Block Scalings......Page 216
11 Advanced Gain-Scheduling Techniques for Uncertain Systems......Page 238
12 Control Synthesis for Well-Posedness of Feedback Systems......Page 258
Part V Nonconvex Problems......Page 278
13 Alternating Projection Algorithms for Linear Matrix Inequalities Problems with Rank Constraints......Page 280
14 Bilinearity and Complementarity in Robust Control......Page 298
Part VI Applications......Page 322
15 Linear Controller Design for the NEC Laser Bonder via Linear Matrix Inequality Optimization......Page 324
16 Multiobjective Robust Control Toolbox for Linear-Matrix-Inequality-Based Control......Page 338
17 Multiobjective Control for Robot Telemanipulators......Page 350
Bibliography......Page 370
Index......Page 398
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