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Robust fuzzy control for continuous perturbed time-delay affine Takagi-Sugeno fuzzy models. (English) Zbl 1263.93127

Summary: The stability analysis and controller synthesis methodology for a continuous perturbed time-delay affine (CPTDA) Takagi-Sugeno (T-S) fuzzy model is proposed in this paper. The CPTDA T-S fuzzy models include both linear nominal parts and uncertain parameters in each fuzzy rule. The proposed fuzzy control approach is developed based on an iterative linear matrix inequality (ILMI) algorithm to cope with the stability criteria and \(H_{\infty }\) performance constraints for the CPTDA T-S fuzzy models. Finally, a numerical simulation for the nonlinear inverted pendulum system is given to show the application and availability of the present design approach.

MSC:

93C42 Fuzzy control/observation systems
93B35 Sensitivity (robustness)
93C73 Perturbations in control/observation systems
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