Fault-tolerant Stabilization for Linear System with Time Delay

Abstract

In this note, the FTC problem of time-delay systems with the special sensor model of failure is investigated. Firstly, based on Lyapunov stability theorem, through constructing a proper LKF and using integral inequality, the stability condition of the closed-loop system is obtained. Secondly, by using the nonlinear transformation and the cone complementary linearization algorithm, the controller existence condition of time-delay system in terms of LMIs is obtained, which guarantee the asymptotically stable of the closed-loop systems even if the sensor faults occur, and the controller parameters are also given. Finally, an example is given to show the effectiveness of the proposed methods in this paper.