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Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Stabilization of Uncertain Fractional Memristor Chaotic Time-Delay System Based on Fractional Order Sliding Mode Control
Author NameAffiliationPostcode
Dawei Ding School of Electronics and Information Engineering, Anhui University
Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education 		230601
Fangfang Liu School of Electronics and Information Engineering, Anhui University 230601
Nian Wang* School of Electronics and Information Engineering, Anhui University
Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education 		230601
Dong Liang School of Electronics and Information Engineering, Anhui University
Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education 		230601
Abstract:
Based on Lyapunov theorem and sliding mode control scheme, the chaos control of fractional memristor chaotic time-delay system was studied. In order to stabilize the system, a fractional sliding mode control method for fractional time-delay system was proposed. In addition, we used Lyapunov stability theorem to analyze the control scheme theoretically, which guaranteed the stability of commensurate and non-commensurate order systems with or without uncertainties and disturbances. Furthermore, to illustrate the feasibility of controller, the conditions for designing the controller parameters were derived. Finally, the simulation results presented the effectiveness of the designed strategy.
Key words:  fractional-order system  time delay  chaos control  uncertainty  sliding mode control
DOI：10.11916/j.issn.1005-9113.18081
Clc Number:N93
Fund:
Descriptions in Chinese:
  本文基于Lyapunov稳定性定理的滑模控制策略，研究了时滞分数阶忆阻器混沌系统的混沌控制。为了稳定该系统，设计了一种具有时滞的分数阶混沌系统的分数阶滑模控制方法。此外，我们利用Lyapunov稳定性理论对控制方案进行理论分析，确保存在或不存在不确定性和干扰的情况下同阶和不同阶系统的稳定性。此外，为了说明控制器的可行性，应该遵循所设计的控制器参数的条件。最后，仿真结果表明了提出的滑模控制方法的正确性和有效性。

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