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Imperfect Premise Matching Controller Design for Interval Type-2 Fuzzy Systems under Network Environments

Zejian Zhang1, Dawei Wang2,*, Xiao-Zhi Gao3

1 Mechanical Engineering College, Beihua University, Jilin, 132013, China
2 Mathematic College, Beihua University, Jilin, 132013, China
3 School of Computing, University of Eastern Finland, Kuopio, 70211, Finland

* Corresponding Author: Dawei Wang. Email: email

Intelligent Automation & Soft Computing 2021, 27(1), 173-189.


The interval type-2 fuzzy sets can describe nonlinear plants with uncertain parameters. It exists in nonlinearity. The parameter uncertainties extensively exist in the nonlinear practical Networked Control Systems (NCSs), and it is paramount to investigate the stabilization of the NCSs on account of the section type-2 fuzzy systems. Notice that most of the existing research work is only on account of the convention Parallel Distribution Compensation (PDC). For overcoming the weak point of the PDC and acquire certain guard stability conditions, the state tickling regulator under imperfect premise matching can be constructed to steady the NCSs using the section type-2 indistinct muster, where the fuzzy plant and fuzzy regulator may enjoy together not the same membership functions. By leading into the message of the up and down membership functions of both the fuzzy pattern and fuzzy regulator, we build a new composed term of the section type-2 network systems. The new results we obtained can provide a larger area of stability than the conventional membership unconcerned stability results. Moreover, a novel unmatching state feedback controller design method for the interval type-2 networked systems is explored in our work. The proposed approach can significantly improve the design flexibility of the fuzzy controllers, because their membership functions can be arbitrarily selected. Two numerical examples are further used to demonstrate the less-conservativeness and effectiveness of the novel technique.


Cite This Article

Z. Zhang, D. Wang and X. Gao, "Imperfect premise matching controller design for interval type-2 fuzzy systems under network environments," Intelligent Automation & Soft Computing, vol. 27, no.1, pp. 173–189, 2021.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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