H2 output feedback control for descriptor systems

This paper solves the H(2) output feedback control problem for continuous-time descriptor systems. An existence condition of the H(2) optimal controller is derived based on the standard model matching technique, and a characterization of the optimal controller is given in terms of the solutions of two generalized algebraic Riccati equations. It turns out that the optimal controller has an observer-based structure well-known in the state-space case, so that the results in this paper are natural extensions of the state-space results to the descriptor systems. A numerical example is also included to show the applicability of the proposed results. (C) 1998 Elsevier Science Ltd. All rights reserved.