Self-scheduled H∞ output feedback control of descriptor systems

In this paper, a first approach towards H-infinity control of nonlinear descriptor systems is addressed. Based on a generalization of the bounded real lemma (BRL) it is shown how the H-infinity control problem can be generalized to a class of non-linear descriptor systems. This class is characterized by a standard (E, A, B, C) descriptor description, however, the A, B, C matrices are allowed to include nonlinear but bounded coefficients. This setup allows to incorporate recent results in self-scheduled H-infinity control of parameter-varying systems into the corresponding problem for descriptor systems. All results require only the solution of linear matrix inequalities (LMIs), i.e, the controller computation is possible by numerically sound techniques. (C) 2000 Elsevier Science Ltd. All rights reserved.