Robust Control for a Class of Distributed Parameter Switched Systems with Time-Delay

The robust control for a class of distributed parameter switched systems with time-delay is studied. The sufficient condition for the existence of the hybrid state feedback robust controller for the closed-loop switched systems is obtained based on Green formula and Lyapunov function method. Using the linear matrix inequality (LMI) approach, the design of the robust controller is converted into finding feasible solutions of a group of LMIs, which can be efficiently carried out using Matlab LMI toolbox. Simultaneously, the method to reduce the conservativeness of the design for the robust control system is also investigated. Finally, a numerical example is presented to show the validity of the proposed design method.