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research-article

Fault Estimation and Fault Tolerant Control via a Novel PI Observer in singular Takagi-Sugeno Fuzzy systems

[+] Author and Article Information
Min Li

School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
liminhit@126.com

Ming Liu

School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
mingliu23@hit.edu.cn

Yingchun Zhang

School of Astronautics, Harbin Institute of Technology, Harbin 150001, China, and also with the Shenzhen Aerospace Dongfanghong HIT Satellite Company Ltd, Shenzhen, 518057, China
zhangyc1@hit.edu.cn

Zhuo Chen

Stevens Institute of technology, Hoboken, 07030, USA
1093411129@qq.com

1Corresponding author.

ASME doi:10.1115/1.4042243 History: Received August 08, 2017; Revised December 01, 2018

Abstract

This paper deals with the fault observer and fault-tolerant controller design for singular Takagi-Sugeno (T-S) fuzzy systems subject to actuator faults. First, a novel PI observer is constructed to estimate the system states and faults. Sufficient conditions for the existence of the proposed observer are given in linear matrix inequality (LMI) terms. Furthermore, based on the state and fault estimation, a fault tolerant controller is designed to effectively accommodate the influence of fault upon state and ensure that the closed-loop system is stable. Finally, a numerical example is given to show the effectiveness of the presented method.

Copyright (c) 2018 by ASME
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