Stability analysis of recurrent type-2 TSK fuzzy systems with nonlinear consequent part

被引：23
|
作者：
Tavoosi, Jafar [1 ]
Suratgar, Amir Abolfazl [1 ]
Menhaj, Mohammad Bagher [1 ]
机构：
[1] Amirkabir Univ Technol, Dept Elect Engn, Ctr Excellence Control & Robot, 424 Hafez Ave, Tehran, Iran
来源：
NEURAL COMPUTING & APPLICATIONS | 2017年 / 28卷 / 01期
关键词：
Recurrent type-2 fuzzy; Stability analysis; Nonlinear consequent; CELLULAR NEURAL-NETWORKS; TIME-VARYING DELAYS; LOGIC SYSTEMS; ROBUST STABILITY; PID CONTROLLER; DESIGN; IDENTIFICATION;
D O I：
10.1007/s00521-015-2036-3
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A necessary condition for stability of a class of recurrent type-2 TSK fuzzy systems is presented. In this system, the antecedent part is indeed represented by interval Gaussian type-2 fuzzy set, and the consequent part is an ordinary nonlinear function of the system's inputs. In the proposed method, at first a type-2 fuzzy model is established, and then an LMI-based stability analysis of the model is fully discussed. Two first-order systems (one stable and one unstable) and two second-order systems (one stable and one unstable) are then considered as proper case studies. The simulation results easily approve the effectiveness of the proposed method.
引用
收藏
页码：47 / 56
页数：10
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