Reliable Guaranteed Cost Control of Linear Descriptor Time-delay Systems

This paper deals with the problem of reliable guaranteed cost control for linear descriptor time-delay systems with actuator failure. The actuator failure mold adopted in this paper is in complete form to describe variation of the actuator. To design a controller such that, for admissible actuator failures, the plant remains asymptotically stable and guarantees an adequate level of a quadratic cost index. It derives a sufficient condition for the existence of such controller by Lyapunov inequality, provides its parameterized representation and gives the design method of the optimal controller. Furthermore, it derives the results for linear descriptor systems without delay. Finally, an example shows the potential of this method. Copyright © 2002 USTARTH