Robust H-infinity state feedback control for linear systems with state delay and parameter uncertainty

This paper addresses the problem of robust H-proportional to state feedback control design for linear systems with state delay and parameter uncertainty. Based on a positive-definite solution of a modified algebraic Riccati equation, the proposed robust H-proportional to static state feedback controller stabilizes uncertain time-delay systems independently of delays, and guarantees an H-proportional to norm bound constraint on disturbance attenuation for all admissible uncertainties. Furthermore, it is shown that no advantage can be obtained from the use of a proper linear dynamic state feedback compared with the use of static state feedback. Illustrative examples are given to demonstrate the applicability of the proposed approach. Copyright (C) 1996 Elsevier Science Ltd.