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Minimum Entropy H_ Control
Taschenbuch von Keith Glover (u. a.)
Sprache: Englisch

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Beschreibung
This monograph is concerned with the design of feedback controllers for linear multivariable systems, which are robust to system uncertainty. System uncertainty can be realistically represented by including perturbations with bounded H?-norm, and this is the approach taken here. For a given H?-norm bound, there is a family of robustly stabilizing controllers, and the central question in this book is which of these controllers to choose. One choice to take is that which minimizes the enthropy of the resulting closed loop transfer function, and the derivation and properties of this solution occupies most of this monograph. Explicit formulae are obtained for the minimum enthropy solution, which is a precisely defined compromise between the Linear Quadratic Gaussian optimal solution and the H?-optimal solution. The book will be appropriate for graduate classes requiring only a first course in state-space methods, and some elementary knowledge of H? control and Linear Quadratic Gaussian control.
This monograph is concerned with the design of feedback controllers for linear multivariable systems, which are robust to system uncertainty. System uncertainty can be realistically represented by including perturbations with bounded H?-norm, and this is the approach taken here. For a given H?-norm bound, there is a family of robustly stabilizing controllers, and the central question in this book is which of these controllers to choose. One choice to take is that which minimizes the enthropy of the resulting closed loop transfer function, and the derivation and properties of this solution occupies most of this monograph. Explicit formulae are obtained for the minimum enthropy solution, which is a precisely defined compromise between the Linear Quadratic Gaussian optimal solution and the H?-optimal solution. The book will be appropriate for graduate classes requiring only a first course in state-space methods, and some elementary knowledge of H? control and Linear Quadratic Gaussian control.
Inhaltsverzeichnis
The entropy of a system.- The minimum entropy $$\mathcal{H}_\infty$$ control problem.- The minimum entropy $$\mathcal{H}_\infty$$ distance problem.- Relations to combined $$\mathcal{H}_\infty$$ /LQG control.- Relations to risk-sensitive LQG control.- The normalized $$\mathcal{H}_\infty$$ control problem.- $$\mathcal{H}_\infty$$ -characteristic values.- LQG and $$\mathcal{H}_\infty$$ monotonicity.
Details
Erscheinungsjahr: 1990
Fachbereich: Nachrichtentechnik
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: ix
144 S.
1 s/w Illustr.
144 p. 1 illus.
ISBN-13: 9783540529477
ISBN-10: 3540529470
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Glover, Keith
Mustafa, Denis
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 244 x 170 x 9 mm
Von/Mit: Keith Glover (u. a.)
Erscheinungsdatum: 22.10.1990
Gewicht: 0,289 kg
Artikel-ID: 102139717
Inhaltsverzeichnis
The entropy of a system.- The minimum entropy $$\mathcal{H}_\infty$$ control problem.- The minimum entropy $$\mathcal{H}_\infty$$ distance problem.- Relations to combined $$\mathcal{H}_\infty$$ /LQG control.- Relations to risk-sensitive LQG control.- The normalized $$\mathcal{H}_\infty$$ control problem.- $$\mathcal{H}_\infty$$ -characteristic values.- LQG and $$\mathcal{H}_\infty$$ monotonicity.
Details
Erscheinungsjahr: 1990
Fachbereich: Nachrichtentechnik
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: ix
144 S.
1 s/w Illustr.
144 p. 1 illus.
ISBN-13: 9783540529477
ISBN-10: 3540529470
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Glover, Keith
Mustafa, Denis
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 244 x 170 x 9 mm
Von/Mit: Keith Glover (u. a.)
Erscheinungsdatum: 22.10.1990
Gewicht: 0,289 kg
Artikel-ID: 102139717
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