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Robust Fuzzy Control for Discrete Perturbed Time-Delay Affine Takagi-Sugeno Fuzzy Models

Wen-Jer Chang, Wei-Han Huang, and Cheung-Chieh Ku
International Journal of Control, Automation, and Systems, vol. 9, no. 1, pp.86-97, 2011

Abstract : The purpose of this paper is to study the stability analysis and controller synthesis principles of Discrete Perturbed Time-Delay Affine (DPTDA) Takagi–Sugeno (T–S) fuzzy models. In general, the T–S fuzzy model is a weighted sum of some linear subsystems via fuzzy membership functions. This paper considers fuzzy rules include both linear nominal parts and uncertain parameters in the time-delay affine T–S fuzzy model. For DPTDA T–S fuzzy models, the T–S fuzzy control scheme is used to confront the H∞ performance constraints. Some sufficient conditions are derived on robust H∞ disturbance attenuation in which both robust stability and a prescribed performance are required to be achieved. In order to find suitable fuzzy controllers, the Iterative Linear Matrix Inequality (ILMI) algorithm is employed to solve these sufficient conditions. At last, a numerical simulation for the nonlinear truck-trailer system is given to show the applications of the present design approach.

Keyword : Iterative linear matrix inequality, perturbed time-delay systems, S-procedure, Takagi-Sugeno fuzzy model.

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