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Haghighatnia, Sara, Toossian Shandiz, Heydar, Alfi, Alireza. (1398). Conformable Fractional Order Sliding Mode Control for a Class of Fractional Order Chaotic Systems. نشریه علمی دانشگاه سیستان و بلوچستان, 2(3), 177-188. doi: 10.22111/ieco.2018.25403.1049
Sara Haghighatnia; Heydar Toossian Shandiz; Alireza Alfi. "Conformable Fractional Order Sliding Mode Control for a Class of Fractional Order Chaotic Systems". نشریه علمی دانشگاه سیستان و بلوچستان, 2, 3, 1398, 177-188. doi: 10.22111/ieco.2018.25403.1049
Haghighatnia, Sara, Toossian Shandiz, Heydar, Alfi, Alireza. (1398). 'Conformable Fractional Order Sliding Mode Control for a Class of Fractional Order Chaotic Systems', نشریه علمی دانشگاه سیستان و بلوچستان, 2(3), pp. 177-188. doi: 10.22111/ieco.2018.25403.1049
Haghighatnia, Sara, Toossian Shandiz, Heydar, Alfi, Alireza. Conformable Fractional Order Sliding Mode Control for a Class of Fractional Order Chaotic Systems. نشریه علمی دانشگاه سیستان و بلوچستان, 1398; 2(3): 177-188. doi: 10.22111/ieco.2018.25403.1049

Conformable Fractional Order Sliding Mode Control for a Class of Fractional Order Chaotic Systems

International Journal of Industrial Electronics Control and Optimization
مقاله 2، دوره 2، شماره 3، مهر 2019، صفحه 177-188    اصل مقاله (735.44 K)
نوع مقاله: Research Articles
شناسه دیجیتال (DOI): 10.22111/ieco.2018.25403.1049
نویسندگان
Sara Haghighatnia1؛ Heydar Toossian Shandiz* 2؛ Alireza Alfi3
1Faculty of Electrical and Robotic Engineering, Shahrood University of Technology, Shahrood, Iran
2Engineering Faculty, Electrical Department, Ferdowsi University of Mashhad
3Faculty of Electrical and Robotic Engineering, Shahrood University of Technology
چکیده
In this paper, a novel conformable fractional order (FO) sliding mode control technique is studied for a class of FO chaotic systems in the presence of uncertainties and disturbances. First, a novel FO nonlinear surface based on conformable FO calculus is proposed to design the FO sliding mode controller. Then, asymptotic stability of the controller is derived by means of the Lyapunov direct method via conformable FO operators. The stability analysis is performed in the sliding and reaching phase. In addition, the realization of reaching phase is guaranteed in finite time and the reaching time is calculated analytically. The proposed control approach has some superiorities. Reduction of the chattering phenomenon, high robustness against the uncertainty and external disturbance, and fast convergence speed are the main advantages of the proposed control scheme. Moreover, it has simple calculations because of using conformable FO operators in the control design. The numerical simulations verify the efficiency of the proposed controller.
کلیدواژه‌ها
Fractional calculus؛ Chaotic system؛ Lyapunov direct method؛ Conformable fractional order sliding mode controller
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