Design of robust fuzzy Sliding-Mode control for a class of the Takagi-Sugeno uncertain fuzzy systems using scalar Sign function
Publish place: Iranian Journal of Fuzzy Systems، Vol: 17، Issue: 5
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-17-5_010
تاریخ نمایه سازی: 30 خرداد 1400
Abstract:
This article presents a fuzzy sliding-mode control scheme for a class of Takagi-Sugeno (T-S) fuzzy which are subject to norm-bounded uncertainties in each subsystem. The proposed stabilization method can be adopted to explore T-S uncertain fuzzy systems (TSUFS) with various local control inputs. Firstly, a new design is proposed to transform TSUFS into sliding-mode dynamic systems.In addition, the proposed stabilization condition for the sliding-mode dynamic system can be formulated in terms of linear matrix inequalities (LMIs) using the Lyapunov functions. Finally, the validity of the proposed design strategy is demonstrated through the simulation of an inverted pendulum on a cart. According to simulation results, the performance indexes of the proposed method can achieve satisfactory results with minimum energy control effort, faster response, and zero steady-state error.
Keywords:
Takagi-Sugeno fuzzy model , Sliding mode control , Linear matrix inequality (LMI) , Norm-bounded uncertainties , Scalar sign function
Authors
L. Chaouech
Laboratoire d&#۰۳۹;Ingenierie des Systemes Industriels et des Energies Renouvelables (LISIER) The National Higher, Engineering School of Tunis (ENSIT), Tunis University, Tunis, Tunisia
M. Soltani
Laboratoire d&#۰۳۹;Ingenierie des Systemes Industriels et des Energies Renouvelables (LISIER) The National Higher, Engineering School of Tunis (ENSIT), Tunis University, Tunis, Tunisia
A. Chaari
Laboratoire d&#۰۳۹;Ingenierie des Systemes Industriels et des Energies Renouvelables (LISIER) The National Higher, Engineering School of Tunis (ENSIT), Tunis University, Tunis, Tunisia