Zonotope based Fault Tolerant Control for Discrete-Time Linear Time-Invariant Systems

Abstract

This paper considers Faut Tolerant Control (FTC) problem for discrete-time Linear Time-Invariant systems (LTI) affected by faults on actuator. First, zonotope-based interval estimation technique is proposed, which integrate robust observer design with zonotopic analysis. By introducing H∞ performances in the observer design, the designed technique reduce the effects of uncertainties and improve the interval estimation accuracy. Based on the robust designed observer, the interval state estimation can be realized via a zonotopic analysis. Second, a FTC is designed to stabilize the close-loop system subject to actuator faults. The control law design is based on zonotopic technique, guaranteeing closed-loop stability. Simulation results are provided to illustrate the performance of the proposed method.