Linear Time Varying Systems and Sampled-data Systems
(Sprache: Englisch)
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...
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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.
Inhaltsverzeichnis zu „Linear Time Varying Systems and Sampled-data Systems “
- Introduction- Continuous-time Systems
- Discrete-time Systems
- Jump Systems
- Sampled-data Systems
- Further Developments
- Appendix A - Basic Results of Functional Analysis
Bibliographische Angaben
- Autoren: Hitoshi Katayama , Akira Ichikawa
- 2001, 376 Seiten, Maße: 15,5 x 23,3 cm, Kartoniert (TB), Englisch
- Verlag: Springer, London
- ISBN-10: 1852334398
- ISBN-13: 9781852334390
- Erscheinungsdatum: 26.02.2001
Sprache:
Englisch
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