Robust H∞ Control for a class of Distributed Parameter Switched Systems with Neumann Boundary Conditions*

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