Robust fuzzy control of nonlinear systems with parametric uncertainties

  • Authors:

  • Ho Jae Lee;Jin Bae Park;Guanrong Chen

  • Affiliations:

  • Dept. of Electr. & Comput. Eng., Yonsei Univ., Seoul;-;-

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 2001

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Abstract

Addresses the robust fuzzy control problem for nonlinear systems in the presence of parametric uncertainties. The Takagi-Sugeno (T-S) fuzzy model is adopted for fuzzy modeling of the nonlinear system. Two cases of the T-S fuzzy system with parametric uncertainties, both continuous-time and discrete-time cases are considered. In both continuous-time and discrete-time cases, sufficient conditions are derived for robust stabilization in the sense of Lyapunov asymptotic stability, for the T-S fuzzy system with parametric uncertainties. The sufficient conditions are formulated in the format of linear matrix inequalities. The T-S fuzzy model of the chaotic Lorenz system, which has complex nonlinearity, is developed as a test bed. The effectiveness of the proposed controller design methodology is finally demonstrated through numerical simulations on the chaotic Lorenz system