Overview
- Develops the H-infinity control theory for time varying systems with initial uncertainty
- Extends the H2 theory for time-invariant systems to time-varying systems
Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 265)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Bibliographic Information
Book Title: Linear Time Varying Systems and Sampled-data Systems
Authors: Akira Ichikawa, Hitoshi Katayama
Series Title: Lecture Notes in Control and Information Sciences
DOI: https://doi.org/10.1007/BFb0110391
Publisher: Springer London
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag London 2001
Softcover ISBN: 978-1-85233-439-0Published: 26 February 2001
eBook ISBN: 978-1-84628-575-2Published: 03 October 2007
Series ISSN: 0170-8643
Series E-ISSN: 1610-7411
Edition Number: 1
Number of Pages: X, 366
Topics: Control and Systems Theory