Robust H∞ fuzzy controller for uncertain nonlinear systems with time-varying delayed state

Authors:
Taek Ryong Kim;Jin Bae Park;Young Hoon Joo
Affiliations:
Yonsei University, Seodaemun-gu, Seoul, Korea;Yonsei University, Seodaemun-gu, Seoul, Korea;Kunsan National University, Kunsan, Chunbuk, Korea
Venue:
FSKD'06 Proceedings of the Third international conference on Fuzzy Systems and Knowledge Discovery
Year:
2006

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Abstract

This paper addresses a robust H∞ stabilization problem to uncertain nonlinear systems with time-varying delayed state via fuzzy static output feedback. We employ the Takagi–Sugeno (T–S) fuzzy model to represent the nonlinear system in both continuous-time and discrete-time cases. Sufficient conditions, which are in the format of bilinear matrix inequalities (BMI)s, are derived for robust stabilization and disturbance attenuation of the closed-loop fuzzy control system in both cases. Then, the BMIs are converted to linear matrix inequalities (LMI)s through some manipulations. The effectiveness of the proposed controller design methodology is demonstrated through a numerical simulation.