| Summary: | 碩士 === 國立中正大學 === 光機電整合工程研究所 === 102 === In this thesis, an interval Type-2 Takagi-Sugeno fuzzy logic control system (IT2 T-S FLCS) with model uncertainty and external disturbance was investigated; the control systems consisted of an IT2 T-S fuzzy model and IT2 fuzzy controllers. The IT2 T-S fuzzy model has greater capability to simulate a plant, compared with the traditional T-S fuzzy model. This thesis presents new theorems that can be used to design IT2 fuzzy controllers, and it demonstrates that a nonlinear system with model uncertainty and external disturbance can be globally asymptotically stabilized using these controllers. Four linear matrix inequality based (LMI-based) stability conditions for the IT2 T-S FLCS are presented. LMI-based robust stability conditions are inferred from the Lyapunov function, which can be numerically solved using the Matlab LMI Toolbox. The results of simulations are provided to illustrate the following: First, fuzzy controllers designed using the proposed theorems have greater capability to deal with model uncertainties. Second, the stability conditions proposed are more general and relaxed compared with existing LMI-based approaches. Finally, the feasible area is greater compared with that in the traditional LMI-based approach.
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