Finite-time Control for Takagi-Sugeno Fuzzy Systems with Time-varying Delay

2019 ◽  
Vol 18 (5) ◽  
pp. 1353-1366
Author(s):  
Yanli Ruan ◽  
Tianmin Huang ◽  
Kun Zhou
Keyword(s):  
Finite Time ◽  
Fuzzy Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Time Control ◽  
Takagi Sugeno ◽  
Varying Delay

scholarly journals Finite-Time Control for Nonlinear Systems with Time-Varying Delay and Exogenous Disturbance

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 447 ◽  
Author(s):  
Yanli Ruan ◽  
Tianmin Huang
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Finite Time ◽  
Delay System ◽  
Time Varying ◽  
Time Delay System ◽  
Time Varying Delay ◽  
Time Control ◽  
Exogenous Disturbance ◽  
Varying Delay

This paper is concerned with the problem of finite-time control for nonlinear systems with time-varying delay and exogenous disturbance, which can be represented by a Takagi–Sugeno (T-S) fuzzy model. First, by constructing a novel augmented Lyapunov–Krasovskii functional involving several symmetric positive definite matrices, a new delay-dependent finite-time boundedness criterion is established for the considered T-S fuzzy time-delay system by employing an improved reciprocally convex combination inequality. Then, a memory state feedback controller is designed to guarantee the finite-time boundness of the closed-loop T-S fuzzy time-delay system, which is in the framework of linear matrix inequalities (LMIs). Finally, the effectiveness and merits of the proposed results are shown by a numerical example.

Fault-tolerant SMC for Takagi–Sugeno fuzzy systems with time-varying delay and actuator saturation

2017 ◽  
Vol 11 (8) ◽  
pp. 1112-1123 ◽  
Author(s):  
Palanisamy Selvaraj ◽  
Boomipalagan Kaviarasan ◽  
Rathinasamy Sakthivel ◽  
Hamid Reza Karimi
Keyword(s):  
Fuzzy Systems ◽  
Actuator Saturation ◽  
Fault Tolerant ◽  
Time Varying ◽  
Time Varying Delay ◽  
Takagi Sugeno ◽  
Varying Delay

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

2016 ◽  
Vol 14 (1) ◽  
pp. 986-1006 ◽  
Author(s):  
Chao Sun ◽  
Fuli Wang ◽  
Xiqin He
Keyword(s):  
Output Feedback ◽  
Fuzzy Systems ◽  
Fault Tolerant ◽  
Fault Estimation ◽  
Time Varying ◽  
Interval Time ◽  
Time Varying Delay ◽  
Takagi Sugeno ◽  
Delay Partitioning ◽  
Varying Delay

AbstractThis 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.

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