Predefined-time sliding mode control of chaotic systems based on disturbance observer

Yun Liu; Yuhong Huo; Yun Liu; Yuhong Huo

doi:10.3934/mbe.2024222

Mathematical Biosciences and Engineering

2024, Volume 21, Issue 4: 5032-5046. doi: 10.3934/mbe.2024222

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Predefined-time sliding mode control of chaotic systems based on disturbance observer

Yun Liu ¹,
Yuhong Huo ^{2
,
,}

1.
School of Electronic Engineering, Huainan Normal University, Huainan 232038, China
2.
School of Finance and Mathematics, Huainan Normal University, Huainan 232038, China

Academic Editor: Xiaodi Li

Received: 18 December 2023 Revised: 13 February 2024 Accepted: 18 February 2024 Published: 04 March 2024

In this paper, in order to realize the predefined-time control of $ n $-dimensional chaotic systems with disturbance and uncertainty, a disturbance observer and sliding mode control method were presented. A sliding manifold was designed for ensuring that when the error system runs on it, the tracking error was stable within a predefined time. A sliding mode controller was developed which enabled the dynamical system to reach the sliding surface within a predefined time. The total expected convergence time can be acquired through presetting two predefined-time parameters. The results demonstrated the feasibility of the proposed control method.
- predefined-time control,
- sliding mode control,
- chaotic system,
- disturbance observer
Citation: Yun Liu, Yuhong Huo. Predefined-time sliding mode control of chaotic systems based on disturbance observer[J]. Mathematical Biosciences and Engineering, 2024, 21(4): 5032-5046. doi: 10.3934/mbe.2024222

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Abstract

In this paper, in order to realize the predefined-time control of $ n $-dimensional chaotic systems with disturbance and uncertainty, a disturbance observer and sliding mode control method were presented. A sliding manifold was designed for ensuring that when the error system runs on it, the tracking error was stable within a predefined time. A sliding mode controller was developed which enabled the dynamical system to reach the sliding surface within a predefined time. The total expected convergence time can be acquired through presetting two predefined-time parameters. The results demonstrated the feasibility of the proposed control method.

References

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