Fault-tolerant control for time-delay systems via output dynamical feedback

The issue of fault-tolerant control for a class of time-delay systems with sensor failures was investigated. Attention was focused on the design of output dynamical feedback controller which guaranteed the asymptotical stability of the closed-loop systems even when the sensor failed. Based on the [0, sigma] actuator model of failure and delay-dependent stability criterion for nominal time-delay systems, by introducing nonlinear transformation, the nonlinear inequality was translated into linear inequality, the sufficient conditions for the existence of feedback controller are obtained. Moreover, the expression for the desired controller is given by using the LMI and the cone complementary linearization iterative algorithm. Numerical examples are presented to illustrate the effectiveness of the method.