Abstract
Abstract In this paper, We propose a Fuzzy Logic Controller (FLC) that is based on the VSS to form the linguistic rules. Firstly, we prove that there exists a sliding line in the FLC. Secondly, a Lyapunov function is selected to show that the Fuzzy Controller System (FCS) is globally asymptotically stable. The proposed control method is applied to stabilize a cart-pole system. In addition, the effect of adjusting the scaling factor, varying the rules of VSS, and modifing the membership function on the FCS are also addressed.
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