A new stability criterion for high-order dynamic fuzzy systems
Publish place: Iranian Journal of Fuzzy Systems، Vol: 19، Issue: 2
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-19-2_014
تاریخ نمایه سازی: 18 فروردین 1401
Abstract:
Fuzzy modeling is a well-known solution for simplified modeling and predicting nonlinear systems behavior. Dynamic TSK Fuzzy Systems are an important branch in fuzzy modeling and are used for complex nonlinear dynamic systems modeling vastly. High order fuzzy systems have been developed recently in the fuzzy modeling field, aiming to reduce number of the fuzzy model rules compared to zero and first order systems, not in cost of a larger modeling error. Employing high order TSK in dynamic TSK fuzzy systems, motivates finding a better model for nonlinear dynamic systems. Closed loop control system design is an important usage of dynamic TSK models, including the stability analysis as the first step.\\While stability investigation is a main part of any Controller design process, in this paper, a criterion has been investigated based on Lyapunov second method, for High Order Dynamic TSK Fuzzy System stability. Although the controller design process is not totally discussed in this paper, however some examples are provided to verify the proposed stability criterion.
Keywords:
Dynamic fuzzy systems , high-order TSK fuzzy systems , stability , nonlinear state feedback controller
Authors
Z. Zeighami
Department of Electrical Engineering, Science and Research Branch,Islamic Azad University,Tehran,Iran
M. R. Jahed-Motlagh
Department of Computer Engineering, Iran University of Science and Technology, Tehran, Iran
A. Moarefianpour
Department of Electrical Engineering, Science and Research Branch,Islamic Azad University,Tehran,Iran
G. Heydari
epartment of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman