内容简介:
This book focuses on the basic control and filtering synthesis problems for discrete-time switched linear systems under time-dependent switching signals. Chapter 1, as an introduction of the book, gives the backgrounds and motivations of switched systems, the definitions of the typical time-dependent switching signals, the differences and links to other types of systems with hybrid characteristics and a literature review mainly on the control and filtering for the underlying systems. By summarizing the multiple Lyapunov-like functions (MLFs) approach in which different requirements on comparisons of Lyapunov function values at switching instants, a series of methodologies are developed for the issues on stability and stabilization, and l2-gain performance or tube-based robustness for l∞ disturbance, respectively, in Chapters 2 and 3. Chapters 4 and 5 are devoted to the control and filtering problems for the time-dependent switched linear systems with either polytopic uncertainties or measurable time-varying parameters in different sense of disturbances. The asynchronous switching problem, where there is time lag between the switching of the currently activated system mode and the controller/filter to be designed, is investigated in Chapter 6. The systems with various time delays under typical time-dependent switching signals are addressed in Chapter 7.
英文目录:
1Introduction
1.1 Switched Systems
1.2 Backgrounds and Motivations
1.3 Mathematical Descriptions
1.4 Classifications of Switching Signals
1.4.1 Different Perspectives for Classifications
1.4.2 Several Typical Time-Dependent Switching Signals
1.5 Comparisons with Other Types of Hybrid Systems
1.6 Overview of Control and Filtering of Switched SystemsReferences
2Stability and Stabilization
2.1 Multiple Lyapunov-Like Functions
2.2 Arbitrary Switching
2.3 Dwell Time (DT) Switching
2.4 Average Dwell Time (ADT) Switching
2.5 Persistent Dwell Time (PDT) Switching
2.6 Conclusion
References
3 Performance Analysis
3.1 l 2 -Gain Analysis: Arbitrary Switching
3.2 Weighted l2 -Gain Analysis: ADT Switching
3.3 Non-Weighted l2 -Gain Analysis: PDT Switching
3.4 Tube-Based Robustness Analysis: Modal PDT Switching
3.5 Conclusion
References
4 Control
4.1 Robust H Control: Arbitrary Switching
4.1.1 Parameter-Independent Control
4.1.2 Parameter-Dependent Control
4.2 Robust H Control: ADT Switching
4.3 Observer-Based H Control: Modal PDT Switching
4.4 Conclusion
References
5 Filtering
5.1 Robust H Filtering: Arbitrary Switching
5.2 Robust H Filtering: ADT Switching
5.2.1 Uncertain Switched Linear Systems
5.2.2 Switched Linear Parameter Varying (LPV) Systems
5.3 Quasi-Time-Dependent (QTD) H Filtering: PDT Switching
5.4 Conclusion
References
6 Asynchronous Switched Systems: ADT Switching
6.1 New Stability Analysis
6.2 New Performance Analysis
6.3 Asynchronous Stabilization
6.4 H Control
6.4.1 Switched Linear Systems
6.4.2 Switched LPV Systems
6.5 HFiltering
6.6 Conclusion
References
7 Time-Delay Switched Systems
7.1 Stability Analysis: DT Switching
7.2 H Control: Arbitrary Switching
7.2.1 Performance Analysis
7.2.2 Output-Feedback Controller Design
7.3 Filtering7
7.3. l1-l Sense: Arbitrary Switching
7.3.2 H Sense: PDT Switching
7.4 Conclusion
References
Index