H-infinity Control for Nonlinear Descriptor Systems
- ISBN-10
- 1846282896
- ISBN-13
- 9781846282898
- Category
- Technology & Engineering
- Pages
- 164
- Language
- English
- Published
- 2006-01-18
- Publisher
- Springer Science & Business Media
- Authors
- He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang
Description
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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