H-Infinity Control for Nonlinear Descriptor Systems

by Fan-Ren Chang, He-Sheng Wang, Chee-Fai Yung

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.

• Format: Paperback
• Language: English
• ISBN: B00BDJNKFE
• ISBN13: 9781846282898
• Release Date: January 2006
• Publisher: Springer
• Length: 164 Pages
• Weight: 0.61 lbs.
• Dimensions: 0.4" x 6.1" x 9.1"