Fault-tolerant control for distributed-parameter switched systems with Neumann boundary conditions
具有Neumann边界的分布参数切换系统的容错控制

We study the fault-tolerant control for a class of distributed parameter switched systems with Neumann boundary conditions. Under actuator failure or partial failure, the sufficient condition for the existence of a closed-loop switched fault-tolerant controller with hybrid state feedback is obtained based on Lyapunov function method and Green formula. By the linear matrix inequality (LMI) approach, the design of the fault-tolerant controller is converted into finding feasible solutions to a group of LMIs, which can be efficiently carried out by using MATLAB LMI toolbox. Simultaneously, Poincare inequality is used to reduce the conservativeness of the control system design. Finally, a numerical example validates the proposed design method.