Robust Control For Uncertain Delay Systems

This paper considers the problem of delay-dependent robust H_∞control for uncertain systems with time-varying delays both in state and input, and the problem of robust exponential stabilization of a class of uncertain systems subject to control saturation. For the first problem, an integral inquality for quadratic terms established in [30] is used to obtain a state and input delay-dependent condition for the existence of robust H_∞control, and ensures the stability of closed-loop system with a memoryless state feedback controller. For the second problem, a linear memoryless state feedback controller is synthesized to guarantee that there is a domain of admissible initial conditions from which all solutions of the class of systems converge exponentially to a ball with a prespecified convergence rate.