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H-INFINITY CONTROL FOR NONLINEAR DESCRIPTOR SYSTEMS IBD

CHEE FAI YUNG / FAN REN CHANG / HE SHENG WAN
SPRINGER
01 / 2006
9781846282898
Inglés

Sinopsis

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.