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http://dx.doi.org/10.5370/KIEE.2017.66.11.1620

Observer-based H∞ Fuzzy Controller Design of Interval Type-2 Takagi-Sugeno Fuzzy Systems Under Imperfect Premise Matching  

Hwang, Sounghwan (Dept. of Electrical and Electronic Engineering, Yonsei University)
Park, Jin Bae (Dept. of Electrical and Electronic Engineering, Yonsei University)
Joo, Young Hoon (Dept. of Control and Robotics Engineering, Kunsan National University)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.66, no.11, 2017 , pp. 1620-1627 More about this Journal
Abstract
In this paper, we design an observer-based $H_{\infty}$ fuzzy controller for interval type-2 Takagi-Sugeno (T-S) fuzzy systems under imperfect premise matching. The designed observer-based controller can effectively estimate the state of the system and make fuzzy system satisfy the $H_{\infty}$ disturbance attenuation performance. Using the slack matrix, the derived stabilization condition is expressed in terms of a linear matrix inequality. Finally, the effectiveness of the proposed method is verified through a simulation example.
Keywords
Interval Type-2 T-S Fuzzy System; $H_{\infty}$ Control; Lyapunov function; LMI; Imperfect Premise Matching;
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