Output tracking H∞ fuzzy control of nonlinear time-delay systems via Fuzzy Performance Evaluator

Authors:
S. Jeeva Sathya Theesar;P. Balasubramaniam
Affiliations:
Department of Mathematics, Gandhigram Rural Institute --Deemed University, Gandhigram, Tamilnadu, India and Institute for Mathematical Research, Universiti Putra Malaysia, UPM Serdang, Selangor, M ...;Department of Mathematics, Gandhigram Rural Institute --Deemed University, Gandhigram, Tamilnadu, India
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2013

Citing 17
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Abstract

This paper studies H∞ fuzzy output tracking control problem for delayed nonlinear systems using Takagi-Sugeno fuzzy modeling. The H∞ performance has been achieved using Fuzzy Performance Evaluator FPE and the sufficient conditions are presented in terms of delay dependent Linear Matrix Inequalities LMIs. The delay interval is decomposed into multiple equidistant subintervals and Lyapunov-Krasovskii functionals LKFs are constructed on these intervals to obtain the conditions. Thereby the formulated model traces the given nonlinear dynamical system exactly to a T-S fuzzy model with very less error bound approaching zero asymptotically. Finally, with numerical open and closed loop tests on continuous stirred tank reactors CSTR model reveal that the method proposed in this study is more effective.