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H-infinity Control for Nonlinear Descriptor Systems by He-Sheng Wang (English) P

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
ISBN-13
9781846282898
Book Title
H-infinity Control for Nonlinear Descriptor Systems
ISBN
9781846282898
Series
Lecture Notes in Control and Information Sciences Ser.
Publication Year
2006
Type
Textbook
Format
Trade Paperback
Language
English
Publication Name
H-Infinity Control for Nonlinear Descriptor Systems
Author
Chee-Fai Yung, He-Sheng Wang, Fan-Ren Chang
Item Length
9.3in
Publisher
Springer London, The Limited
Item Width
6.1in
Item Weight
10.1 Oz
Number of Pages
Xiv, 164 Pages

About this product

Product Information

The authors present a study of the H-infinity control problem and related topics for descriptor systems, described by a set of nonlinear differential-algebraic equations. They derive necessary and sufficient conditions for the existence of a controller solving the standard nonlinear H-infinity control problem considering both state feedback and output feedback. One such condition for the output feedback control problem to be solvable is obtained in terms of two Hamilton-Jacobi inequalities and a weak coupling condition; a parameterization of a family of output feedback controllers solving the problem is also provided. All of the aforementioned results are then specialized to the linear case. For the linear case, the necessary and sufficient conditions for the corresponding problems to be solvable are expressed in terms of two hierarchically coupled generalized algebraic Riccati equations. When these conditions hold, state-space formulae for a controller solving the problem are also given. The approach used in this monograph is based on a generalized version of the Bounded Real Lemma. Finally, the derivation of state-space formulae for all controllers solving the standard H-infinity control problem for descriptor systems is proposed. To establish the key formulae, a parameterization of all internally stabilizing controllers for descriptor systems is also given (both the linear and nonlinear cases are considered in this monograph). Among other important topics to be investigated are the balanced realization, reduced-order controller design and mixed H2/H-infinity control problems. For students and researchers interested in nonlinear control theory for descriptor systems, this book provides both a comprehensive introduction and easy access to advanced topics.

Product Identifiers

Publisher
Springer London, The Limited
ISBN-10
1846282896
ISBN-13
9781846282898
eBay Product ID (ePID)
50935568

Product Key Features

Author
Chee-Fai Yung, He-Sheng Wang, Fan-Ren Chang
Publication Name
H-Infinity Control for Nonlinear Descriptor Systems
Format
Trade Paperback
Language
English
Series
Lecture Notes in Control and Information Sciences Ser.
Publication Year
2006
Type
Textbook
Number of Pages
Xiv, 164 Pages

Dimensions

Item Length
9.3in
Item Width
6.1in
Item Weight
10.1 Oz

Additional Product Features

Series Volume Number
326
Number of Volumes
1 Vol.
Lc Classification Number
Tj212-225
Reviews
From the reviews: "The monograph presents a study of the H infinity control problem and related topics for descriptor systems, described by a set of nonlinear differential-algebraic equations. The target group of the monograph is aimed to be academic researchers in control theory, nonlinear systems and control engineering. Necessary and sufficient conditions are derived for the existence of a controller solving the standard nonlinear H infinity control problem considering both state feedback and output feedback." (Ilkka Virtanen, Zentralblatt MATH, Vol. 1113 (15), 2007), From the reviews:"The monograph presents a study of the H infinity control problem and related topics for descriptor systems, described by a set of nonlinear differential-algebraic equations. The target group of the monograph is aimed to be academic researchers in control theory, nonlinear systems and control engineering. Necessary and sufficient conditions are derived for the existence of a controller solving the standard nonlinear H infinity control problem considering both state feedback and output feedback." (Ilkka Virtanen, Zentralblatt MATH, Vol. 1113 (15), 2007)
Table of Content
Introduction.- Elements of Descriptor Systems Theory.- Youla Parameterization.- The H-infinity Control.- Balanced Realization.- Some Further Topics.- Conclusions.- Appendices: Generalized Algebraic Riccati Equations; Center Manifold Theory.
Copyright Date
2006
Topic
System Theory, Electrical
Lccn
2005-937006
Dewey Decimal
629.836
Intended Audience
Scholarly & Professional
Dewey Edition
22
Illustrated
Yes
Genre
Technology & Engineering, Science

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