Design of T-S(Takagi-Sugeno) Fuzzy Control Systems Under the Bound on the Output Energy

  • Kim, Kwang-Tae (Department of Electronic Engineering, Doowon Technical College) ;
  • Joh, Joog-Seon (Department of Control and Instrumentation Engineering, Changwon National University) ;
  • Kwon, Woo-Hyen (School of Electronic and Electrical Engineering, Kyungpook National University)
  • Published : 1999.06.01

Abstract

This paper presents a new T-S(Tae-Sugeno) fuzzy controller design method satisfying the output energy bound. Maximum output energy via a quadratic Lyapunov function to obtain the bound on output energy is derived. LMI(Linear Matrix Inequality) problems which satisfy an output energy bound for both of the continuous-time and discrete-time T-S fuzzy control system are also derived. Solving these LMIs simultaneously, we find a common symmetric positive definite matrix P which guarantees the global asymptotic stability of the system and stable feedback gains K's satisfying the output energy bound. A simple example demonstrates validity of the proposed design method.

Keywords

References

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