Mixed H2/H∞ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach

  • Authors:

  • Bor-Sen Chen;Chung-Shi Tseng;Huey-Jian Uang

  • Affiliations:

  • Dept. of Electr. Eng., Nat. Tsing Hua Univ., Hsinchu;-;-

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 2000

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Abstract

This study introduces a mixed H2/H∞ fuzzy output feedback control design method for nonlinear systems with guaranteed control performance. First, the Takagi-Sugeno fuzzy model is employed to approximate a nonlinear system. Next, based on the fuzzy model, a fuzzy observer-based mixed H2/H∞ controller is developed to achieve the suboptimal H2 control performance with a desired H∞ disturbance rejection constraint. A robust stabilization technique is also proposed to override the effect of approximation error in the fuzzy approximation procedure. By the proposed decoupling technique and two-stage procedure, the outcome of the fuzzy observer-based mixed H2/H∞ control problem is parametrized in terms of the two eigenvalue problems (EVPs): one for observer and the other for controller. The EVPs can be solved very efficiently using the linear matrix inequality (LMI) optimization techniques. A simulation example is given to illustrate the design procedures and performances of the proposed method