The Takagi-Sugeno Fuzzy Model Identification Method of Parameter Varying Systems

Author(s):  
Xie Keming ◽  
T. Y. Lin ◽  
Zhang Jianwei
2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Sonia Goel ◽  
Meena Tushir

Purpose In real-world decision-making, high accuracy data analysis is essential in a ubiquitous environment. However, we encounter missing data while collecting user-related data information because of various privacy concerns on account of a user. This paper aims to deal with incomplete data for fuzzy model identification, a new method of parameter estimation of a Takagi–Sugeno model in the presence of missing features. Design/methodology/approach In this work, authors proposed a three-fold approach for fuzzy model identification in which imputation-based linear interpolation technique is used to estimate missing features of the data, and then fuzzy c-means clustering is used for determining optimal number of rules and for the determination of parameters of membership functions of the fuzzy model. Finally, the optimization of the all antecedent and consequent parameters along with the width of the antecedent (Gaussian) membership function is done by gradient descent algorithm based on the minimization of root mean square error. Findings The proposed method is tested on two well-known simulation examples as well as on a real data set, and the performance is compared with some traditional methods. The result analysis and statistical analysis show that the proposed model has achieved a considerable improvement in accuracy in the presence of varying degree of data incompleteness. Originality/value The proposed method works well for fuzzy model identification method, a new method of parameter estimation of a Takagi–Sugeno model in the presence of missing features with varying degree of missing data as compared to some well-known methods.


2020 ◽  
Author(s):  
Yaxue Ren ◽  
Fucai Liu ◽  
Jingfeng Lv ◽  
Aiwen Meng ◽  
Yintang Wen

Abstract The division of fuzzy space is very important in the identification of premise parameters and the Gaussian membership function is applied to the premise fuzzy set. However, the two parameters of Gaussian membership function, center and width, are not easy to be determined. In this paper, a novel T-S fuzzy model optimal identification method of optimizing two parameters of Gaussian function based on Fuzzy c-means (FCM) and particle swarm optimization (PSO) algorithm is presented. Firstly, we use FCM algorithm to determine the Gaussian center for rough adjustment. Then, under the condition that the center of Gaussian function is fixed, the PSO algorithm is used to optimize another adjustable parameter, the width of the Gaussian membership function, to achieve fine tuning, so as to complete the identification of prerequisite parameters of fuzzy model. In addition, the recursive least squares (RLS) algorithm is used to identify the conclusion parameters. Finally, the effectiveness of this method for T-S fuzzy model identification is verified by simulation examples, and the higher identification accuracy can be obtained by using the novel identification method described compared with other identification methods.


2018 ◽  
Vol 31 (6) ◽  
pp. 1206-1214 ◽  
Author(s):  
Ruichao LI ◽  
Yingqing GUO ◽  
Sing Kiong NGUANG ◽  
Yifeng CHEN

2018 ◽  
Vol 338 ◽  
pp. 117-135 ◽  
Author(s):  
Shun-Hung Tsai ◽  
Yu-Wen Chen

2011 ◽  
Vol 148-149 ◽  
pp. 50-53
Author(s):  
Bin Chen ◽  
Ge Liu ◽  
Xian Ming Zhang

Takagi-Sugeno (T_S) fuzzy model of abrasion resistance of HVAS coating and technological parameters is proposed. The results of identification and simulation of the model show that the identified fuzzy model has relatively high precision and good generalization ability; the identification method is valid. By the use of the model, analyzed influence on properties of HVAS coating with technological parameters.


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