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MARC 21

H∞-Optimal Control and Related: Minimax Design Problems /
Tag Description
020$a9781489935618$9978-1-4899-3561-8
082$a519$223
099$aOnline resource: Springer
100$aBaşar, Tamer.
245$aH∞-Optimal Control and Related$h[EBook] :$bMinimax Design Problems /$cby Tamer Başar, Pierre Bernhard.
260$aBoston, MA :$bBirkhäuser Boston :$bImprint: Birkhäuser,$c1991.
300$aXII, 225 p.$bonline resource.
336$atext$btxt$2rdacontent
337$acomputer$bc$2rdamedia
338$aonline resource$bcr$2rdacarrier
440$aSystems & Control: Foundations & Applications,$x2324-9749
505$aA General Introduction to Minimax (H?-Optimal) Designs -- Basic Elements of Static and Dynamic Games -- The Discrete-Time Minimax Design Problem With Perfect State Measurements -- Continuous-Time Systems With Perfect State Measurements -- The Continuous-Time Problem With Imperfect State Measurements -- The Discrete-Time Problem With Imperfect State Measurements -- Performance Levels For Minimax Estimators -- Appendix A: Conjugate Points -- Appendix B: Danskin’s Theorem -- References.
520$aOne of the major concentrated activities of the past decade in control theory has been the development of the so-called "HOO-optimal control theory," which addresses the issue of worst-case controller design for linear plants subject to unknown additive disturbances, including problems of disturbance attenuation, model matching, and tracking. The mathematical OO symbol "H " stands for the Hardy space of all complex-valued functions of a complex variable, which are analytic and bounded in the open right­ half complex plane. For a linear (continuous-time, time-invariant) plant, oo the H norm of the transfer matrix is the maximum of its largest singular value over all frequencies. OO Controller design problems where the H norm plays an important role were initially formulated by George Zames in the early 1980's, in the context of sensitivity reduction in linear plants, with the design problem posed as a mathematical optimization problem using an (HOO) operator norm. Thus formulated originally in the frequency domain, the main tools used during the early phases of research on this class of problems have been operator and approximation theory, spectral factorization, and (Youla) parametrization, leading initially to rather complicated (high-dimensional) OO optimal or near-optimal (under the H norm) controllers.
538$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700$aBernhard, Pierre.$eauthor.
710$aSpringerLink (Online service)
830$aSystems & Control: Foundations & Applications,$x2324-9749
856$uhttp://dx.doi.org/10.1007/978-1-4899-3561-8
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