A Novel Fractional-Order Multiple-Model Type-3 Fuzzy Control for Nonlinear Systems with Unmodeled Dynamics

International Journal of Fuzzy Systems - Tập 23 - Trang 1633-1651 - 2021
Ardashir Mohammadzadeh1, Oscar Castillo2, Shahab S. Band3,4, Amirhosein Mosavi5,6
1Electrical Engineering Department, University of Bonab, Bonab, Iran
2Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Mexico
3Future Technology Research Center, College of Future, National Yunlin University of Science and Technology, Douliou, Taiwan
4Institute of Research and Development, Duy Tan University, Da Nang, Vietnam
5Institute of Structural Mechanics, Bauhaus Universität-Weimar, Weimar, Germany
6John von Neumann Faculty of Informatics, Obuda University, Budapest, Hungary

Tóm tắt

In this paper, a novel control approach is proposed for a class of uncertain nonlinear system with unmodeled dynamics. Each output of the system is modeled by several first-order dynamic fractional-order fuzzy systems. The best dynamic model is selected at a period of time and the control signal is designed based on this model. The dynamic fractional-order models are based on the special case of general type-2 fuzzy systems which are called interval type-3 fuzzy logic systems (IT3FLSs). The adaptation laws for the consequent parameters of IT3FLSs are derived through stability analysis of the fractional-order systems based on the linear matrix inequality approach. The effectiveness of the proposed scheme is verified by normal simulation on the hyperchaotic Lorenz system with unmodeled dynamics, real-time simulation on the chaotic model of the brushless DC motors using Arduino boards and experimental examination on a heat transfer system with fully unknown dynamics.

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Thông tin xuất bản

International Journal of Fuzzy Systems

Tập 23

1633-1651

Thông tin tác giả