Linear Time Varying Systems and Sampled-data Systems

1. Front Matter

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2. Introduction

   Pages 1-5

3. Continuous-time systems

   Pages 7-94

4. Discrete-time systems

   Pages 95-182

5. Jump systems

   Pages 183-289

6. Sampled-data systems

   Pages 291-319

7. Further developments

   Pages 321-348

8. Back Matter

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This book gives an introduction to H-infinity and H2 control for linear time-varying systems. Chapter 2 is concerned with continuous-time systems while Chapter 3 is devoted to discrete-time systems.
The main aim of this book is to develop the H-infinity and H2 theory for jump systems and to apply it to sampled-data systems. The jump system gives a natural state space representation of sampled-data systems, and original signals and parameters are maintained in the new system. Two earlier chapters serve as preliminaries. Chapter 4 introduces jump systems and develops the H-infinity and H2 theory for them. It is then applied to sampled-data systems in Chapter 5.
The new features of this book are as follows: The H-infinity control theory is developed for time-varying systems with initial uncertainty. Recent results on the relation of three Riccati equations are included. The H2 theory usually given for time-invariant systems is extended to time-varying systems. The H-infinity and H2 theory for sampled-data systems is established from the jump system point of view. Extension of the theory to infinite dimensional systems and nonlinear systems is discussed. This covers the sampled-data system with first-order hold. In this book 16 examples and 40 figures of computer simulations are included.
The reader can find the H-infinity and H2 theory for linear time-varying systems and sampled-data systems developed in a unified manner. Some arguments inherent to time varying systems or the jump system point of view to sampled-data systems may give new insights into the system theory of time-invariant systems and sampled-data systems.

• Discrete time systems
• Jump systems
• Linear Systems
• Sampled data systems
• Time Varying Systems
• control theory
• nonlinear system
• simulation
• systems theory

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