Delay range dependent fuzzy control design for nonlinear neutral systems with time varying delays

Authors:
Min Kook Song;Jin Bae Park;Young Hoon Joo
Affiliations:
Department of Electrical and Electronic Engineering, Yonsei University, Shinchon-Dong, Seodaemum-Gu, Seoul, Korea;Department of Electrical and Electronic Engineering, Yonsei University, Shinchon-Dong, Seodaemum-Gu, Seoul, Korea;Department of Control and Robotics Engineering, Kunsan National University, Kunsan, Chonbuk, Korea
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

Citing 9
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Abstract

In this paper, a new type of Lyapunov--Krasovskii functional method is constructed to study delay-range-dependent stability analysis and stabilization problems for Takagi--Sugeno T--S fuzzy neutral systems with time-varying delay. The present results may improve the existing ones due to a method to estimate the upper bound of the derivative of Lyapunov-Krasovskii functional without ignoring some useful terms and the introduction of additional terms into the proposed Lyapunov-Krasovskii functional, which take into account the range of delay. On the basis of a novel Lyapunov--Krasovskii functionals, which includes the information of the range of dealy, delay-range-dependent stability criteria are established in terms of linear matrix inequalities LMIs. Moreover, the stability criteria are also used to design a stabilizing fuzzy controller. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.