A fuzzy Lyapunov function approach to estimating the domain of attraction for continuous-time Takagi-Sugeno fuzzy systems

Authors:
Dong Hwan Lee;Jin Bae Park;Young Hoon Joo
Affiliations:
Department of Electrical and Electronic Engineering, Yonsei University, Seodaemun-gu, Seoul 120-749, Republic of Korea;Department of Electrical and Electronic Engineering, Yonsei University, Seodaemun-gu, Seoul 120-749, Republic of Korea;Department of Control and Robotics Engineering, Kunsan National University, Kunsan, Chonbuk 573-701, Republic of Korea
Venue:
Information Sciences: an International Journal
Year:
2012

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Abstract

This paper deals with stability analysis and control design problems for continuous-time Takagi-Sugeno (T-S) fuzzy systems. The first aim is to present less conservative linear matrix inequality (LMI) conditions to design controllers and assess the stability. The second relevant contribution is to present a new strategy to find an inner estimate of the domain of attraction (DA) via LMIs. The results are based on the fuzzy Lyapunov functions (FLFs) and non-parallel distributed compensation (non-PDC) approaches. Finally, examples illustrate the effectiveness and merits of the proposed methods.