Systems & Control: Foundations & Applications

H(infinity)-Optimal Control and Related ...

Authors: Basar, Bernhard

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About this book

One of the major concentrated activities of the past decade in control theory has been the development of the so-called "HOO-optimal control theory," which addresses the issue of worst-case controller design for linear plants subject to unknown additive disturbances, including problems of disturbance attenuation, model matching, and tracking. The mathematical OO symbol "H " stands for the Hardy space of all complex-valued functions of a complex variable, which are analytic and bounded in the open right­ half complex plane. For a linear (continuous-time, time-invariant) plant, oo the H norm of the transfer matrix is the maximum of its largest singular value over all frequencies. OO Controller design problems where the H norm plays an important role were initially formulated by George Zames in the early 1980's, in the context of sensitivity reduction in linear plants, with the design problem posed as a mathematical optimization problem using an (HOO) operator norm. Thus formulated originally in the frequency domain, the main tools used during the early phases of research on this class of problems have been operator and approximation theory, spectral factorization, and (Youla) parametrization, leading initially to rather complicated (high-dimensional) OO optimal or near-optimal (under the H norm) controllers.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $39.99
price for USA in USD (gross)
  • ISBN 978-1-4899-3561-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
H(infinity)-Optimal Control and Related ...
Authors
Series Title
Systems & Control: Foundations & Applications
Copyright
1991
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-1-4899-3561-8
DOI
10.1007/978-1-4899-3561-8
Series ISSN
2324-9749
Edition Number
1
Number of Pages
XII, 225
Topics