<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Department of Mathematics, Liaoning University of Technology, 169 Shiying Street, Guta District, Jinzhou, 121001, PR China

International Journal of Applied Mathematics and Computer Science

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...

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

Published Online: Dec 21, 2011

Page range: 617 - 627

DOI: https://doi.org/10.2478/v10006-011-0048-4

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

This content is open access.

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

Published Online: Dec 21, 2011

Page range: 617 - 627

DOI: https://doi.org/10.2478/v10006-011-0048-4

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

This content is open access.

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