Automatica, Vol.32, No.8, 1183-1185, 1996
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.
Keywords:TIME-VARYING UNCERTAINTY;STABILIZATION