Chaotic Synchronization Using a Self-Evolving Recurrent Interval Type-2 Petri Cerebellar Model Articulation Controller

Tien-Loc Le, Tuan-Tu Huynh, Vu-Quynh Nguyen, Chih-Min Lin and Sung-Kyung Hong
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Tien-Loc Le: Faculty of Mechanical and Aerospace, Sejong University, Seoul 143-747(05006), Korea
Tuan-Tu Huynh: Department of Electrical Electronic and Mechanical Engineering, Lac Hong University, Bien Hoa 810000, Vietnam
Vu-Quynh Nguyen: Department of Electrical Electronic and Mechanical Engineering, Lac Hong University, Bien Hoa 810000, Vietnam
Chih-Min Lin: Department of Electrical Engineering, Yuan Ze University, Taoyuan 32003, Taiwan
Sung-Kyung Hong: Faculty of Mechanical and Aerospace, Sejong University, Seoul 143-747(05006), Korea

Mathematics, 2020, vol. 8, issue 2, 1-26

Abstract: In this manuscript, the synchronization of four-dimensional (4D) chaotic systems with uncertain parameters using a self-evolving recurrent interval type-2 Petri cerebellar model articulation controller is studied. The design of the synchronization control system is comprised of a recurrent interval type-2 Petri cerebellar model articulation controller and a fuzzy compensation controller. The proposed network structure can automatically generate new rules or delete unnecessary rules based on the self-evolving algorithm. Furthermore, the gradient-descent method is applied to adjust the proposed network parameters. Through Lyapunov stability analysis, bounded system stability is guaranteed. Finally, the effectiveness of the proposed controller is illustrated using numerical simulations of 4D chaotic systems.

Keywords: chaotic systems; self-evolving algorithm; interval type-2 fuzzy system; Petri nets; cerebellar model articulation controller (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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