This self-contained monograph describes basic set-theoretic methods for control. It provides a discussion of their links to fundamental problems in Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. The work presents several established and potentially new applications, along with numerical examples and case studies. A key theme is the trade-off between exact (but computationally intensive) and approximate (but conservative) solutions to problems. Mathematical language is kept to the minimum necessary.
Author(s): Franco Blanchini, Stefano Miani
Series: Systems & Control: Foundations & Applications
Edition: 1
Publisher: Birkhäuser
Year: 2007
Language: English
Pages: 494
Preface......Page 6
Contents......Page 10
Introduction......Page 15
Lyapunov and Lyapunov-like functions......Page 41
Convex sets and their representation......Page 87
Invariant sets......Page 112
Dynamic programming......Page 161
Set-theoretic analysis of dynamic systems......Page 202
Control of parameter-varying systems......Page 246
Control with time-domain constraints......Page 281
(Sub-)Optimal control......Page 346
Set-theoretic estimation......Page 398
Related topics......Page 423
12.1 Remarkable properties of the Euler auxiliarysystem......Page 459
12.2 MAXIS-G: a software for the computation ofinvariant sets for constrained LPV systems......Page 464
References......Page 467
Index......Page 485
