H [Infinity Symbol]-Optimal Control and Related Minimax Design Problems : a Dynamic Game Approach

Basar, Tamer. Bernhard, Pierre

ISBN 10: 0817635548 / ISBN 13: 9780817635541

Editore: Boston : Birkhauser, 1991

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Fine copy in the original color printed boards. Particularly and uncommonly well-preserved; tight, bright, clean and especially sharp-cornered. ; 224 pages; Includes bibliographical references (p. 213-220) . Subjects: H [infinity symbol] control. Mathematical optimization. Differential games. , Series: Systems & control. 1 Kg.

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Dati bibliografici

• Titolo: H [Infinity Symbol]-Optimal Control and Related Minimax Design Problems : a Dynamic Game Approach
• Editore: Boston : Birkhauser
• Data di pubblicazione: 1991
• Lingua: Inglese
• ISBN 10: 0817635548
• ISBN 13: 9780817635541
• Rilegatura: Rilegato
• Edizione: First Edition.

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Riassunto

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.

Product Description

Fine copy in the original color printed boards. Particularly and uncommonly well-preserved; tight, bright, clean and especially sharp-cornered. ; 224 pages; Includes bibliographical references (p. 213-220) . Subjects: H [infinity symbol] control. Mathematical optimization. Differential games. , Series: Systems & control.