Takagi-Sugeno Fuzzy Control of Chaotic Nonlinear Systems As Direct Model Reference Approach

A novel direct model reference fuzzy controller ispresented in this paper. It relaxes the special conditions on thereference model that is required by some of the approachesdescribed in the literature, as well as covering a more generalclass of Takagi– Sugeno (T–S) systems. The uncertainty is theundeniable part of real systems, so the Disturbance in limitedranges is considered and in addition controller Performancealways is more challenged in chaotic system. For this reasonsdesign of model reference fuzzy controller for chaotic nonlinearsystems subject to uncertainty is done. In addition, the effects ofmodeling errors on the proposed controller are considered.Finally the proposed method is simulated on a Duffing oscillatoras uncertain chaotic system to evaluate direct model referencetakagi–sugeno fuzzy controller.

Keywords:

Fuzzy control , uncertain chaotic nonlinear system , model reference adaptive control , Takagi–Sugeno fuzzy model