Distributed H∞ fault tolerant controller design for linear system

This chapter studies the passive fault-tolerant control problem for linear system. When the linear actuator system failure, using the Lyapunov stability theory, linear algebra theory, linear matrix inequality method and poset and so on. The following respects are undertaken: (1) First, get methods of control law K corresponding to the minimum value in order to ensure asymptotically stable for system; (2) get step by step design procedures and methods of control.