基于输入整形与滑模控制钢包车液体晃动抑制方法

Ladle Car Liquid Sloshing Suppression Method Based on Input Shaping and Sliding Mode Control

  • 摘要: 针对在以钢水运输过程为代表的欠驱动系统中,系统参数的不确定性及外界干扰等因素严重影响了系统的稳定性和安全性的问题,提出了一种基于输入整形与粒子群(PSO)滑模控制相结合的复合控制策略,以有效抑制液体晃动并增强系统的鲁棒性。首先,将液体晃动现象建模为单摆系统,推导出其等效动力学模型,为准确刻画晃动特性提供理论依据。然后,设计输入整形器,优化输入信号以减少系统的过渡振荡,从而改善瞬态性能。在此基础上,引入滑模控制,设计鲁棒控制器,以增强系统应对非线性特性、模型不确定性及外部扰动的抗干扰能力。为进一步提升控制器性能,采用粒子群优化算法对控制器参数进行整定,确保系统在不同工作条件下的稳定性和控制精度。通过与传统PID控制、超螺旋滑模控制的仿真对比,输入整形PSO滑模控制实现了系统的快速化平稳,稳定时间提高了约35%,从PID控制的20 s提高至1.5 s且最大晃动幅度从PID控制的0.083 s减少到0.026 s,相比于超螺旋滑模控制的0.072 s也有明显改善,从而验证了所提出的复合控制策略在抑制晃动、提高系统的稳定性具有显著优势。

     

    Abstract: In underactuated systems, such as those represented by the steel water transportation process, system parameter uncertainties and external disturbances significantly affect the stability and safety of the system. Therefore, we propose a composite control strategy based on input shaping and particle swarm optimization (PSO) sliding mode control, aimed at effectively suppressing liquid sloshing and enhancing system robustness. Firstly, we model the liquid sloshing phenomenon as a pendulum system, and derive its equivalent dynamic model to provide a theoretical basis for accurately characterizing the sloshing behavior. Secondly, we design an input shaper is designed to optimize the control input signals, reducing transient oscillations and thereby improving transient performance. Based on this, we introduce sliding mode control, and design a robust controller to enhance the system's ability to cope with nonlinear characteristics, model uncertainties, and external disturbances. To further enhance the controller's performance, we apply the particle swarm optimization (PSO) algorithm to fine-tune the controller parameters, ensuring the system's stability and control accuracy under varying operational conditions. through simulation comparisons with traditional PID control and super-helical sliding mode control, the input shaping PSO sliding mode control achieves rapid stabilization of the system, improving the settling time by approximately 35%, from 20 s with PID control to 1.3 s, and reducing the maximum oscillation amplitude from 0.083 m in PID control to 0.024 m, which is a significant improvement compared to the 0.072 m of super-helical sliding mode control. This validates that the proposed composite control strategy offers a remarkable advantage in suppressing oscillations and enhancing the system's stability.

     

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