Robust dynamic output feedback fault-tolerant control for Takagi-Sugeno fuzzy systems with interval time-varying delay via improved delay partitioning approach

• Published in: Open mathematics (Warsaw, Poland) Vol. 14; no. 1; pp. 986 - 1006
• Main Authors: Sun, Chao, Wang, Fuli, He, Xiqin
• Format: Journal Article
• Language: English
• Published: De Gruyter Open 01.01.2016; De Gruyter
• Subjects: 34D23; 37B25; 93D09; Actuator fault compensation; Asymptotically stable; Disturbance rejection; Fault estimation; Fault-tolerant control; Linear matrix inequalities; T-S fuzzy models; Time-varying delay
• ISSN: 2391-5455; 2391-5455
• DOI: 10.1515/math-2016-0089

This paper addresses the problem of robust fault-tolerant control design scheme for a class of Takagi-Sugeno fuzzy systems subject to interval time-varying delay and external disturbances. First, by using improved delay partitioning approach, a novel n-steps iterative learning fault estimation observer under constraint is constructed to achieve estimation of actuator fault. Then, based on the online estimation information, a fuzzy dynamic output feedback fault-tolerant controller considered interval time delay is designed to compensate for the impact of actuator faults, while guaranteing that the closed-loop system is asymptotically stable with the prescribed performance. Moreover, all the obtained less conservative sufficient conditions for the existence of fault estimation observer and fault-tolerant controller are formulated in terms of linear matrix inequalities. Finally, the numerical examples and simulation results are presented to show the effectiveness and merits of the proposed methods.