Fault Reconstruction and Fault-Tolerant Control via Learning Observers in Takagi-Sugeno Fuzzy Descriptor Systems With Time Delays

• Published in: IEEE transactions on industrial electronics (1982) Vol. 62; no. 6; pp. 3885 - 3895
• Main Authors: Jia, Qingxian, Chen, Wen, Zhang, Yingchun, Li, Huayi
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.06.2015; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Actuators; Control systems; Delay effects; Economic models; Fault diagnosis; Fault reconstruction; Fault tolerance; Fault tolerant systems; Fault-tolerant control; Faults; Fuzzy; Fuzzy logic; Fuzzy set theory; Learning observers; Linear matrix inequalities; Observers; Optimization techniques; Reconstruction; Symmetric matrices; TS uzzy descriptor systems; learning observers (LOs); Fault reconstruction; linear matrix inequalities (LMIs); Takagi–Sugeno (T–S) fuzzy descriptor systems; fault-tolerant control (FTC)
• ISSN: 0278-0046; 1557-9948
• DOI: 10.1109/TIE.2015.2404784

This paper addresses the problems of observer-based fault reconstruction and fault-tolerant control for Takagi-Sugeno fuzzy descriptor systems subject to time delays and external disturbances. A novel fuzzy descriptor learning observer is constructed to achieve simultaneous reconstruction of system states and actuator faults. Sufficient conditions for the existence of the proposed observer are explicitly provided. Utilizing the reconstructed fault information, a reconfigurable fuzzy fault-tolerant controller based on the separation property is designed to compensate for the impact of actuator faults on system performance by stabilizing the closed-loop system. In addition, the design of the fault reconstruction observer and the fault-tolerant controller is formulated in terms of linear matrix inequalities that can be conveniently solved using convex optimization techniques. Finally, simulation results on a truck-trailer system are presented to verify the effectiveness of the proposed approaches.