Robust Control of Infinite Dimensional Systems: Frequency Domain Methods

✍ Scribed by Ciprian Foias, Hitay Özbay, Allen Tannenbaum (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1996
• Tongue: English
• Leaves: 191
• Series: Lecture Notes in Control and Information Sciences 209
• Edition: 1
• Category: Library

✦ Synopsis

Since its inception in the early 1980s, H( optimization theory has become the control methodology of choice in robust feedback analysis and design. The purpose of this monograph is to present, in a tutorial fashion, a self contained operator theoretic approach to the H( control for disturbed parameter systems, that is, systems which admit infinite dimensional state spaces. Such systems arise for problems modelled by partial differential equations or which have time delays. Besides elucidating the mathematics of H( control, extensive treatment is given to its physical and engineering underpinnings. The techniques given in the book are carefully illustrated by two benchmark problems: an unstable system with a time delay which comes from the control of the X-29, and the control of a Euler-Bernoulli flexible beam with Kelvin-Voigt damping.

✦ Table of Contents

Introduction....Pages 5-9
Mathematical preliminaries....Pages 11-51
Issues in feedback control....Pages 53-74
One block problems....Pages 75-108
H ∞ Control of unstable plants....Pages 109-131
Suboptimal H ∞ controller design....Pages 133-151
Benchmark examples....Pages 153-168
H ∞ Controlof MIMO systems....Pages 169-196
Notes and references....Pages 197-199

✦ Subjects

Control Engineering