A new predefined-time fractional-order sliding mode synchronization control scheme for multi-motor systems

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-19 DOI:10.1016/j.cnsns.2025.109307

Jia-Meng Wu, Xin Huang, Cheng-Lin Liu

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引用次数: 0

Abstract

This paper investigates the tracking and synchronization control of multi-motor systems and proposes a novel predefined-time fractional-order sliding mode control strategy. First, a novel simplified predefined-time stability condition is introduced, which alleviates the problem of parameter complexity in existing predefined-time stability theories and broadens their applicability. The validity of this condition is rigorously established through a Lyapunov-based analysis. Then, a fractional-order sliding mode observer is designed based on this stability condition. By integrating fractional-order calculus, the proposed observer increases flexibility and enhances the overall control performance compared to conventional observers. Furthermore, a fractional-order controller is developed by constructing a fractional-order sliding surface and a corresponding switching control law. The stability of the controller is further guaranteed by employing the Lyapunov function. Finally, simulation results are presented to verify the effectiveness of the proposed control strategy. These results highlight the advantages of the proposed controller, including rapid disturbance rejection, reduced chattering, and robust performance against unknown lumped disturbances.

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一种新的多电机系统的预定义时间分数阶滑模同步控制方案

研究了多电机系统的跟踪与同步控制，提出了一种新的预定义时间分数阶滑模控制策略。首先，引入了一种新的简化的预定义时间稳定性条件，缓解了现有预定义时间稳定性理论中参数复杂的问题，拓宽了其适用性；通过基于李亚普诺夫的分析，严格地确立了这一条件的有效性。然后，基于该稳定性条件设计了分数阶滑模观测器。与传统观测器相比，该观测器通过对分数阶微积分的集成，提高了观测器的灵活性和整体控制性能。通过构造分数阶滑动曲面和相应的切换控制律，建立了分数阶控制器。采用李雅普诺夫函数进一步保证了控制器的稳定性。最后给出了仿真结果，验证了所提控制策略的有效性。这些结果突出了所提出的控制器的优点，包括快速抑制干扰，减少抖振，以及对未知集总干扰的鲁棒性。

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.