Disturbance observer-based adaptive sliding mode synchronization control for uncertain chaotic systems

Honglei Yin; Bo Meng; Zhen Wang; Honglei Yin; Bo Meng; Zhen Wang

doi:10.3934/math.20231203

AIMS Mathematics

2023, Volume 8, Issue 10: 23655-23673. doi: 10.3934/math.20231203

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Research article

Disturbance observer-based adaptive sliding mode synchronization control for uncertain chaotic systems

College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China

Received: 14 May 2023 Revised: 17 July 2023 Accepted: 24 July 2023 Published: 01 August 2023
MSC : 34D35, 37N35, 93B12

The synchronization control problem of a class of chaotic systems with unknown uncertainties and outside perturbation is addressed in this article by employing an innovative adaptive sliding mode controller (SM, SMC) constructed using a disturbance observer (DO). For the synchronous error system, the external disturbances estimated by the disturbance observer cannot be measured directly. If the appropriate gain matrix is chosen, the DO can approximate the unknown external disturbances well. Then a continuous adaptive SM controller based on the DO's output is designed by using adaptive techniques and the system dimensional expansion method. The Duffing-Holmes chaotic system is finally selected to numerically test the efficiency of the suggested strategy.
- disturbance observer,
- sliding mode control,
- adaptive control,
- chaotic synchronization
Citation: Honglei Yin, Bo Meng, Zhen Wang. Disturbance observer-based adaptive sliding mode synchronization control for uncertain chaotic systems[J]. AIMS Mathematics, 2023, 8(10): 23655-23673. doi: 10.3934/math.20231203

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Abstract

The synchronization control problem of a class of chaotic systems with unknown uncertainties and outside perturbation is addressed in this article by employing an innovative adaptive sliding mode controller (SM, SMC) constructed using a disturbance observer (DO). For the synchronous error system, the external disturbances estimated by the disturbance observer cannot be measured directly. If the appropriate gain matrix is chosen, the DO can approximate the unknown external disturbances well. Then a continuous adaptive SM controller based on the DO's output is designed by using adaptive techniques and the system dimensional expansion method. The Duffing-Holmes chaotic system is finally selected to numerically test the efficiency of the suggested strategy.

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