Optimal Control for Discrete-Time Takagi-Sugeno Fuzzy Systems Based on Relaxed Non-Quadratic Stabilization Conditions

완화된 Non-Quadratic 안정화 조건을 기반으로 한 이산 시간 Takagi-Sugeno 퍼지 시스템의 최적 제어

  • Lee, Dong-Hwan (Electrical and Electronic Engineering, Yonsei University) ;
  • Park, Jin-Bae (Electrical and Electronic Engineering, Yonsei University) ;
  • Yang, Han-Jin (School of Electronics and Information Engineering, Kunsan National University) ;
  • Joo, Young-Hoon (School of Electronics and Information Engineering, Kunsan National University)
  • 이동환 (연세대학교 전기전자공학과) ;
  • 박진배 (연세대학교 전기전자공학과) ;
  • 양한진 (군산대학교 전자정보공학부) ;
  • 주영훈 (군산대학교 전자정보공학부)
  • Published : 2009.07.14

Abstract

In this paper, new approaches to optimal controller design for a class of discrete-time Takagi-Sugeno (T-S) fuzzy systems are proposed based on a relaxed approach, in which non-quadratic Lyapunov function and non-parallel distributed compensation (PDC) control law are used. New relaxed conditions and linear matrix inequality (LMI) based design methods are proposed that allow outperforming previous results found in the literature. Finally, an example is given to demonstrate the efficiency of the proposed approaches.

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