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.
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