图书信息:

书  名:Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering
作  者:Lixian Zhang, Yanzheng Zhu, Peng Shi, Qiugang Lu
出 版 社:Springer International Publishing
出版日期:2016-1
语  种:英语
I S B N:978-3319288499
页  数:258

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 HFiltering
   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


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