H∞ CONTROL FOR FUZZY NEUTRAL SYSTEMS WITH MIXED DELAYS USING DELAY PARTITION APPROACH

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Published: 2015-04-08

Page: 1-18


R. RAJA *

Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi - 630 004, India.

S. SENTHILRAJ

Department of Mathematics, Thiruvalluvar University, Vellore - 632 115, India.

R. SAMIDURAI

Department of Mathematics, Thiruvalluvar University, Vellore - 632 115, India.

*Author to whom correspondence should be addressed.


Abstract

This paper investigates the problems of H∞ control for Takagi-Sugeno (T-S) fuzzy neutral systems with both discrete and distributed time delays. Some new Lyapunov-Krasovskii functionals (LKFs) are constructed by non-uniformly dividing the whole delay interval into multiple segments and choosing dierent Lyapunov functionals to dierent segments in the LKFs. Based on the Lyapunov-Krasovskii functional and delay-decomposition approach, delay-dependent sucient conditions for the solvability of this problem are proposed in terms of LMIs. The purpose is to design state feedback fuzzy controllers such that the resulting closed-loop system is robustly stable with an H∞ performance level for the H∞ control problem. Finally, a numerical example is provided to demonstrate the eectiveness of the proposed method.

Keywords: T-S fuzzy neutral systems, H∞ control, Lyapunov-Krasovskii functional (LKF), Linear matrix inequality (LMI).


How to Cite

RAJA, R., SENTHILRAJ, S., & SAMIDURAI, R. (2015). H∞ CONTROL FOR FUZZY NEUTRAL SYSTEMS WITH MIXED DELAYS USING DELAY PARTITION APPROACH. Asian Journal of Mathematics and Computer Research, 3(1), 1–18. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/79

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