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

• Main Authors: Sun Chao, Wang Fuli, He Xiqin
• Format: Article
• Language: English
• Published: De Gruyter 2016-01-01
• Series: Open Mathematics
• Subjects: fault estimation; t-s fuzzy models; fault-tolerant control; actuator fault compensation; disturbance rejection; asymptotically stable; time-varying delay; linear matrix inequalities; 34d23; 37b25; 93d09
• Online Access: http://www.degruyter.com/view/j/math.2016.14.issue-1/math-2016-0089/math-2016-0089.xml?format=INT

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 H ∞ 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 H ∞ 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.