DELAY-DEPENDENT ROBUST STABILIZATION AND H∞ CONTROL FOR UNCERTAIN STOCHASTIC T-S FUZZY SYSTEMS WITH MULTIPLE TIME DELAYS

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SENTHILKUMAR T.; BALASUBRAMANIAM P.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2012 | Volume:9 | Issue:2 Page(s): 89-111

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Title

DELAY-DEPENDENT ROBUST STABILIZATION AND H∞ CONTROL FOR UNCERTAIN STOCHASTIC T-S FUZZY SYSTEMS WITH MULTIPLE TIME DELAYS

Author(s)

SENTHILKUMAR T. | BALASUBRAMANIAM P. | Issue Writer Certificate

Keywords

TAKAGI-SUGENO (T-S) FUZZY SYSTEMS

ROBUST H∞ CONTROL

STOCHASTIC SYSTEM

LINEAR MATRIX INEQUALITIES (LMIS)

MULTIPLE TIME DELAYS

LYAPUNOV-KRASOVSKII FUNCTIONAL (LKF)

Abstract

In this paper, the problems of robust stabilization and H¥ control for uncertain STOCHASTIC SYSTEMs with MULTIPLE TIME DELAYS represented by the Takagi-Sugeno (T-S) fuzzy model have been studied. By constructing a new Lyapunov - Krasovskii functional (LKF) and using the bounding techniques, sufficient conditions for the delay-dependent robust stabilization and H¥ control scheme are presented in terms of linear matrix inequalities (LMIs). By solving these LMIs, a desired fuzzy controller can be obtained which can be easily calculated by Matlab LMI control toolbox. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed method.

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APA: Copy

SENTHILKUMAR, T., & BALASUBRAMANIAM, P.. (2012). DELAY-DEPENDENT ROBUST STABILIZATION AND H∞ CONTROL FOR UNCERTAIN STOCHASTIC T-S FUZZY SYSTEMS WITH MULTIPLE TIME DELAYS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 9(2), 89-111. SID. https://sid.ir/paper/576607/en

Vancouver: Copy

SENTHILKUMAR T., BALASUBRAMANIAM P.. DELAY-DEPENDENT ROBUST STABILIZATION AND H∞ CONTROL FOR UNCERTAIN STOCHASTIC T-S FUZZY SYSTEMS WITH MULTIPLE TIME DELAYS. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2012;9(2):89-111. Available from: https://sid.ir/paper/576607/en

IEEE: Copy

T. SENTHILKUMAR, and P. BALASUBRAMANIAM, “DELAY-DEPENDENT ROBUST STABILIZATION AND H∞ CONTROL FOR UNCERTAIN STOCHASTIC T-S FUZZY SYSTEMS WITH MULTIPLE TIME DELAYS,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 9, no. 2, pp. 89–111, 2012, [Online]. Available: https://sid.ir/paper/576607/en

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