Hybrid Dynamical Systems
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Hybrid Dynamical Systems: Controller and Sensor Switching Problems(Control Engineering)

Hybrid Dynamical Systems: Controller and Sensor Switching Problems(Control Engineering)


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About the Book

The area of hybrid dynamical systems (HDS) represents a difficult challenge to control engineers and is referred to as "the control theory of tomorrow" due to its future potential for solving problems. This relatively new discipline bridges control engineering, mathematics and computer science. There is now an emerging literature on this topic descibing a number of mathematical models, heuristic algorithms and stability criteria. This text focuses on a comprehensive development of HDS theory and integrates results established by the authors. The work is a self-contained text/reference covering several theoretically interesting and practically significant problems concerning the use of switched controllers. Also under examination is the sensor scheduling problems. The emphasis is on classes of uncertain systems as models for HDS. The volume: focuses on the design of robust hybrid dynamical systems in a logical manner; provides extensive coverage of dynamic programming concepts; applies hybrid control systems framework to two classical robust control problems (design of an optimal stable controller for a linear system and simultaneous stabilization of a collection of plants); presents a detailed treatment of stability and H-infinity problems; covers recent original results with complete mathematically rigorous proofs. Researchers and postgraduate students in control engineering, applied mathematics and theoretical computer science should find this book covers the latest results in this area of research; and advanced engineering practitioners and applied researchers working in areas of control engineering, signal processing, communications and fault detection should also find it an up-to-date resource.

Table of Contents:
1 Introduction.- 1.1 Hybrid Dynamical Systems.- 1.2 Controller and Sensor Switching Problems.- 1.3 Notation.- 2 Quadratic State Feedback Stabilizability via Controller Switching.- 2.1 Introduction.- 2.2 Quadratic Stabilizability via Asynchronous Controller Switching.- 2.3 The S-Procedure.- 2.4 A Sufficient Condition for Quadratic Stabilizability.- 2.5 The Case of Two Basic Controllers.- 2.6 Quadratic Stabilizability via Synchronous Switching.- 2.7 Illustrative Example.- 2.8 Proof of Theorem 2.3.1.- 3 Robust State Feedback Stabilizability with a Quadratic Storage Function and Controller Switching.- 3.1 Introduction.- 3.2 Uncertain Systems with Norm-Bounded Uncertainty.- 3.3 Robust Stabilizability via Asynchronous Controller Switching.- 3.4 Robust Stabilizability via Synchronous Switching.- 3.5 Illustrative Examples.- 4 H? Control with Synchronous Controller Switching.- 4.1 Introduction.- 4.2 State Feedback H? Control Problem.- 4.3 Output Feedback H? Control Problem.- 4.4 Illustrative Example.- 4.5 Output Feedback H? Control over Infinite Time.- 5 Absolute Stabilizability via Synchronous Controller Switching.- 5.1 Introduction.- 5.2 Uncertain Systems with Integral Quadratic Constraints.- 5.3 State Feedback Stabilizability via Synchronous Controller Switching.- 5.4 Output Feedback Stabilizability via Synchronous Controller Switching.- 5.5 A Necessary and Sufficient Condition for Output Feedback Stabilizability.- 5.6 A Constructive Method for Output Feedback Absolute Stabilization.- 5.7 Systems with Structured Uncertainty.- 5.8 Illustrative Example.- 6. Robust Output Feedback Controllability via Synchronous Controller Switching.- 6.1 Introduction.- 6.2 Robust Output Feedback Controllability.- 6.3 A Necessary and Sufficient Condition for Robust Controllability.- 7Optimal Robust State Estimation via Sensor Switching.- 7.1 Introduction.- 7.2 Robust Observability of Uncertain Linear Systems.- 7.3 Optimal Robust Sensor Scheduling.- 7.4 Model Predictive Sensor Scheduling.- 8 Almost Optimal Linear Quadratic Control Using Stable Switched Controllers.- 8.1 Introduction.- 8.2 Optimal Control via Stable Output Feedback Controllers.- 8.3 Construction of Almost Optimal Stable Switched Controller.- 9 Simultaneous Strong Stabilization of Linear Time-Varying Systems Using Switched Controllers.- 9.1 Introduction.- 9.2 The Problem of Simultaneous Strong Stabilization.- 9.3 A Method for Simultaneous Strong Stabilization.- References.

Review :
"The book is a self-contained text assuming only a basic mathematical knowledge of modern control theory. It is an excellent up-to-date authoritative reference covering original results with complete mathematical proofs and illustrative examples. The monograph is intended both for researchers and advanced postgraduate students working in the areas of control engineering, theoretical computer science, and applied mathematics interested in the emerging field of hybrid dynamic systems." --Zentralblatt Math


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Product Details
  • ISBN-13: 9780817642242
  • Publisher: Birkhauser Boston Inc
  • Publisher Imprint: Birkhauser Boston Inc
  • Height: 235 mm
  • No of Pages: 153
  • Returnable: Y
  • Sub Title: Controller and Sensor Switching Problems
  • ISBN-10: 0817642242
  • Publisher Date: 10 Jul 2002
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Series Title: Control Engineering
  • Width: 155 mm


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