This paper is concerned with the problem of robust reliable H∞ control for a class of uncertain Takagi-Sugeno (TS) fuzzy systems with actuator failures and time-varying delay. The main objective is to design a state feedback reliable H∞ controller such that, for all admissible uncertainties as well as actuator failure cases, the resulting closed-loop system is robustly asymptotically stable with a prescribed H∞ performance level. Based on the Lyapunov-Krasovskii functional (LKF) method together with linear matrix inequality (LMI) technique, a delay dependent sufficient condition is established in terms of LMIs for the existence of robust reliable H∞ controller. When these LMIs are feasible, a robust reliable H∞ controller can be obtained. Finally, two numerical examples with simulation result are utilized to illustrate the applicability and effectiveness of our obtained result.
Fault-Distribution Dependent Reliable H∞ Control for Takagi-Sugeno Fuzzy Systems
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received January 21, 2013; final manuscript received October 22, 2013; published online January 9, 2014. Assoc. Editor: Yang Shi.
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Sakthivel, R., Vadivel, P., Mathiyalagan, K., and Arunkumar, A. (January 9, 2014). "Fault-Distribution Dependent Reliable H∞ Control for Takagi-Sugeno Fuzzy Systems." ASME. J. Dyn. Sys., Meas., Control. March 2014; 136(2): 021021. https://doi.org/10.1115/1.4025987
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