H-infinity Control for Nonlinear Descriptor Systems by Fan-Ren Chang
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Author: Fan-Ren Chang
Number of Pages: 178 pages
Published Date: 30 Mar 2006
Publisher: Springer London Ltd
Publication Country: England, United Kingdom
Language: English
Format: PDF
ISBN: 9781846282898
File size: 28 Mb
Download Link: H-infinity Control for Nonlinear Descriptor Systems
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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 and output feedback. One such condition for the output feedback control problem to be solvable is obtained in terms of Hamilton-Jacobi inequalities and a weak coupling condition; a parameterization of output feedback controllers solving the problem is also provided. All of these results are then specialized to the linear case. The derivation of state-space formulae for all controllers solving the standard H-infinity control problem for descriptor systems is proposed. Among other important topics covered are balanced realization, reduced-order controller design and mixed H2/H-infinity control. "H-infinity Control for Nonlinear Descriptor Systems" provides a comprehensive introduction and easy access to advanced topics.
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