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首页> 外文期刊>Mechanical systems and signal processing >Synchronization analysis and control of three eccentric rotors in a vibrating system using adaptive sliding mode control algorithm
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Synchronization analysis and control of three eccentric rotors in a vibrating system using adaptive sliding mode control algorithm

机译：自适应滑模控制算法在振动系统中三个偏心转子的同步分析与控制

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摘要

In this paper, self- and controlled synchronizations of three eccentric rotors (ERs) in line driven by induction motors rotating in the same direction in a vibrating system are investigated. The vibrating system is a typical underactuated mechanical-electromagnetic coupling system. The analysis and control of the vibrating system convert to the synchronization motion problem of three ERs. Firstly, the self-synchronization motion of three ERs is analyzed according to self-synchronization theory. The criterions of synchronization and stability of self-synchronous state are obtained by using a modified average perturbation method. The significant synchronization motion of three ERs with zero phase differences cannot be implemented according to self-synchronization theory through analysis and simulations. To implement the synchronization motion of three ERs with zero phase differences, an adaptive sliding mode control (ASMC) algorithm based on a modified master-slave control strategy is employed to design the controllers. The stability of the controllers is verified by using Lyapunov theorem. The performances of the controlled synchronization system are presented by simulations to demonstrate the effectiveness of controllers. Finally, the effects of reference speed and non-zero phase differences on the controlled system are discussed to show the strong robustness of the proposed controllers. Additionally, the dynamic responses of the vibrating system in different synchronous states are analyzed.
机译：在本文中，研究了在振动系统中由在相同方向上旋转的感应电动机驱动的三个偏心转子（ER）的自同步和受控同步。振动系统是典型的欠驱动机械电磁耦合系统。振动系统的分析和控制转化为三个ER的同步运动问题。首先，根据自同步理论，分析了三个ER的自同步运动。通过使用改进的平均摄动法获得了同步和自同步状态稳定性的判据。根据自同步理论，无法通过分析和仿真来实现具有零相位差的三个ER的显着同步运动。为了实现三个零相位差的ER的同步运动，采用了基于改进的主从控制策略的自适应滑模控制（ASMC）算法来设计控制器。利用李雅普诺夫定理验证了控制器的稳定性。仿真显示了受控同步系统的性能，以证明控制器的有效性。最后，讨论了参考速度和非零相位差对受控系统的影响，以显示所提出控制器的强大鲁棒性。另外，分析了振动系统在不同同步状态下的动态响应。

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