EAN: 9781461271970

SYSTEMS & CONTROL FOUNDATIONS & APPLICATIONS ...

One of the main problems in control theory is the stabilization problem consisting of finding a
feedback control law ensuring stability  when the linear approximation is considered  the nat
ural problem is stabilization of a linear system by linear state feedback or by using a linear
dynamic controller. This prob lem was intensively studied during the last decades and many
important results have been obtained. The present monograph is based mainly on results obtained
by the authors. It focuses on stabilization of systems with slow and fast motions  on
stabilization procedures that use only poor information about the system (high-gain
stabilization and adaptive stabilization)  and also on discrete time implementa tion of the
stabilizing procedures. These topics are important in many applications of stabilization
theory. We hope that this monograph may illustrate the way in which mathematical theories do
influence advanced technol ogy. This book is not intended to be a text book nor a guide for
control-designers. In engineering practice  control-design is a very complex task in which
stability is only one of the re quirements and many aspects and facets of the problem have to
be taken into consideration. Even if we restrict ourselves to stabilization  the book does not
provide just recipes  but it fo cuses more on the ideas lying behind the recipes. In short 
this is not a book on control  but on some mathematics of control.

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