中国物理B ›› 2024, Vol. 33 ›› Issue (11): 110205-110205.doi: 10.1088/1674-1056/ad7e9d

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Sliding-mode-based preassigned-time control of a class of memristor chaotic systems

Jinrong Fan(樊金荣)1, Qiang Lai(赖强)2, Qiming Wang(汪其铭)3,†, and Leimin Wang(王雷敏)3,‡   

  1. 1 College of Computer Science, South-Central Minzu University, Wuhan 430074, China;
    2 School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, China;
    3 School of Automation, China University of Geosciences, Wuhan 430074, China
  • 收稿日期:2024-08-20 修回日期:2024-09-14 接受日期:2024-09-24 出版日期:2024-11-15 发布日期:2024-11-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 62473348 and 62076229) and the Knowledge Innovation Program of Wuhan-Basic Research (Grant No. 2023010201010101).

Sliding-mode-based preassigned-time control of a class of memristor chaotic systems

Jinrong Fan(樊金荣)1, Qiang Lai(赖强)2, Qiming Wang(汪其铭)3,†, and Leimin Wang(王雷敏)3,‡   

  1. 1 College of Computer Science, South-Central Minzu University, Wuhan 430074, China;
    2 School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, China;
    3 School of Automation, China University of Geosciences, Wuhan 430074, China
  • Received:2024-08-20 Revised:2024-09-14 Accepted:2024-09-24 Online:2024-11-15 Published:2024-11-15
  • Contact: Qiming Wang, Leimin Wang E-mail:wangqm@cug.edu.cn;wangleimin@cug.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 62473348 and 62076229) and the Knowledge Innovation Program of Wuhan-Basic Research (Grant No. 2023010201010101).

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摘要： This paper addresses the preassigned-time chaos control problem of memristor chaotic systems with time delays. Since the introduction of memristor, the presented models are nonlinear systems with chaotic dynamics. First, the TS fuzzy method is adopted to describe the chaotic systems. Then, a sliding-model-based control approach is proposed to achieve the preassigned-time stabilization of the presented models, where the upper bound of stabilization time can be arbitrarily specified in advance. Finally, simulation results demonstrate the validity of presented control approach and theoretic results.

关键词: memristor chaotic system, TS fuzzy method, preassigned-time stabilization, sliding-mode control

Abstract: This paper addresses the preassigned-time chaos control problem of memristor chaotic systems with time delays. Since the introduction of memristor, the presented models are nonlinear systems with chaotic dynamics. First, the TS fuzzy method is adopted to describe the chaotic systems. Then, a sliding-model-based control approach is proposed to achieve the preassigned-time stabilization of the presented models, where the upper bound of stabilization time can be arbitrarily specified in advance. Finally, simulation results demonstrate the validity of presented control approach and theoretic results.

Key words: memristor chaotic system, TS fuzzy method, preassigned-time stabilization, sliding-mode control

中图分类号:  (Control theory)

  • 02.30.Yy
05.45.-a (Nonlinear dynamics and chaos) 05.45.Xt (Synchronization; coupled oscillators) 07.05.Dz (Control systems)