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Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering [electronic resource] / by Lixian Zhang, Yanzheng Zhu, Peng Shi, Qiugang Lu.

By: Zhang, Lixian [author.].
Contributor(s): Zhu, Yanzheng [author.] | Shi, Peng [author.] | Lu, Qiugang [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Studies in Systems, Decision and Control: 53Publisher: Cham : Springer International Publishing : Imprint: Springer, 2016Edition: 1st ed. 2016.Description: XIV, 258 p. 72 illus., 23 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319288505.Subject(s): Control engineering | Dynamics | Nonlinear theories | System theory | Control theory | Nonlinear Optics | Control and Systems Theory | Applied Dynamical Systems | Systems Theory, Control | Nonlinear OpticsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 629.8312 | 003 Online resources: Click here to access online
Contents:
Introduction -- Stability and Stabilization -- Performance Analysis -- Control -- Filtering -- Asynchronous Switched Systems: ADT Switching -- Time-Delay Switched Systems.
In: Springer Nature eBookSummary: 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.
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Introduction -- Stability and Stabilization -- Performance Analysis -- Control -- Filtering -- Asynchronous Switched Systems: ADT Switching -- Time-Delay Switched Systems.

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.

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