International Journal of applied mathematics and computer science

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Paper details

Number 4 - December 2011
Volume 21 - 2011

Observer-based fault-tolerant control against sensor failures for fuzzy systems with time delays

Shaocheng Tong, Gengjiao Yang, Wei Zhang

Abstract
This paper addresses the problems of robust fault estimation and fault-tolerant control for Takagi–Sugeno (T–S) fuzzy systems with time delays and unknown sensor faults. A fuzzy augmented state and fault observer is designed to achieve the system state and sensor fault estimates simultaneously. Furthermore, based on the information of on-line fault estimates, an observer-based dynamic output feedback fault-tolerant controller is developed to compensate for the effect of faults by stabilizing the resulting closed-loop system. Sufficient conditions for the existence of both a state observer and a fault-tolerant controller are given in terms of linear matrix inequalities. A simulation example is given to illustrate the effectiveness of the proposed approach.

Keywords
fuzzy time-delay systems, sensor faults, state observer, fault-tolerant control, linear matrix inequalities, stability analysis

DOI
10.2478/v10006-011-0048-4