FAULT-TOLERANT CONTROL BASED ON ITERATIVE LEARNING OBSERVER: A DESCRIPTOR APPROACH

ShiLei Zhao, TieJun Zhang, and YuPeng Liu

Keywords

Iterative learning, Faulttolerant control, descriptor time delaysystem, unknown input observer

Abstract

Based on the iterative learning (IL) strategy and unknown input observer (UIO), the problem of actuator fault estimation and fault-tolerant control design for linear systems is studied in this paper. The aim of employing the UIO is to estimate system states accurately for feedback control with the effects of disturbances. The IL update law is adopted to learn the fault by using the previous fault information and the UIO output estimation error. The IL update law which can be referred to time-delay control, the feedback input error, the system state and the state estimation error is organized into a kind of time-delay descriptor system, and the stability of this descriptor system is easily solved in terms of linear matrix inequalities, Lyapunov–Krasovskii stability theory and H∞ technique. Finally, a numerical example has been studied to illustrate the efficiency of the proposed approach.

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