H-Infinity Control for Nonlinear Descriptor Systems

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....