Integrated Fault Detection and Fault Tolerant Control for Switched Systems with Asynchronous Switching

Supeng Zhu,Xiaohan Zhao,Yifeng Ma,Wenxing Fu,Wenyuan Li,Haoyu Cheng

doi:10.1155/2020/6510527

Abstract

The problem of integrated fault detection and fault tolerant control for switched systems with asynchronous switching is focused on in this paper. Based on the switched model, the inherent asynchronous switching is taken into consideration. The asynchronous switching means that the switching of filters/controllers will always lag behind the switching of modes, which will degrade the performance of the closed-loop system. The Lyapunov functional method and mode-dependent average dwell time method are combined for the analysis of the finite-time stability of the switched system. The properties of each subsystem are taken into consideration, which are less conservative. To achieve optimal performance, the filters and controllers are designed simultaneously. The parameters of filters and controllers are given in the form of linear matrix inequalities. In the end, the numerical example is given to illustrate the effectiveness of the proposed method.

Highlights

Switched system is a higher-level abstraction of hybrid system, which consists of a series of continuous-time subsystems and switching signal governing the switching among the subsystems [1, 2]
The problem of outputfeedback controller design for linear parameter-varying (LPV) system is addressed in [13]. e uncertainties of the scheduling parameters are taken into consideration and the stability and L2-gain performance of closed-loop system are guaranteed
The finite-time stability is ensured to obtain better performance. e switched model of flight vehicle is given based on the nonlinear dynamic system of HiMAT at first. en the fault detection filters and fault tolerant controllers are designed simultaneously and the parameters are given in the form of linear matrix inequalities (LMIs). e modedependent average dwell time (MDADT) method and multiple Lyapunov functional method are combined to guarantee the finite time stability of closed-loop system

Summary

Introduction

Switched system is a higher-level abstraction of hybrid system, which consists of a series of continuous-time (or discrete-time) subsystems and switching signal governing the switching among the subsystems [1, 2]. A novel piecewise fuzzy Lyapunov function is introduced and delay-dependent sufficient conditions to ensure the stability of closed-loop system are given in the form of LMIs. Finite-time boundedness is discussed and less conservative results are obtained. Inspired by the literatures above, the problem of integrated fault detection and fault tolerant control for switched system is studied in this paper to reduce the complexities and achieve optimal performance. En the fault detection filters and fault tolerant controllers are designed simultaneously and the parameters are given in the form of LMIs. e MDADT method and multiple Lyapunov functional method are combined to guarantee the finite time stability of closed-loop system. [Bi − Bj]K1j Bj]K2j ρLjCi. In this paper, the finite-time theory and switched control theory are combined to guarantee the stability and transient performance of the system.

Stability Analysis

Controllers and Filters Design

Results