改进参考轨迹的滑模预测控制在磁悬浮轴承的应用-《郑州大学学报(工学版)》

文章信息/Info

Title:: Improved sliding mode predictive control of reference trajectories in the application of magnetic bearings

作者:: 杨洋; 李书臣; 邵旭东; 等.; 辽宁石油化工大学,信息与控制工程学院,辽宁,抚顺,113001, 辽宁石油化工大学,信息与控制工程学院,辽宁,抚顺,113001, 辽宁石油化工大学,信息与控制工程学院,辽宁,抚顺,113001, 辽宁石油化工大学,信息与控制工程学院,辽宁,抚顺,113001

Keywords:: sliding mode prediction; Approximation law; jitter; Active magnetic bearings

摘要:: 研究了不确定离散时间系统的滑模预测变结构控制器的设计问题,针对常规滑模变结构控制方法在电磁轴承控制当中引起的抖动问题,提出了一种能有效削弱系统抖振并保证系统渐近稳定的幂指数趋近律,将该趋近律作为滑模参考轨迹,以不确定系统的名义模型作为滑模预测模型,将预测控制中滚动优化、反馈校正的思想引入离散准滑模变结构控制系统的设计,实现了滚动优化求解.建立电磁轴承动力学模型,并对其进行了仿真,结果表明:该方案可以有效减弱抖动对系统的不利影响,实现了转子的快速调整和稳定悬浮,其跟踪性能快速精确,同时对系统参数变化和阻力扰动具有很强的鲁棒性.

Abstract:: Aiming at the jitter problem caused by conventional sliding mode variable structure control methods in electromagnetic bearing control, a power exponential approximation law that can effectively weaken system jitter and ensure system asymptotic stability is proposed, and the approximation law is used as the sliding mode reference trajectory, and the name model of uncertain system is used as the sliding mode prediction model, and the idea of rolling optimization and feedback correction in predictive control is introduced into the design of discrete quasi-sliding mode variable structure control system. Rolling optimization solution is realized. The electromagnetic bearing dynamics model is established and simulated, and the results show that the scheme can effectively reduce the adverse effects of jitter on the system, realize the rapid adjustment and stable suspension of the rotor, and its tracking performance is fast and accurate, and it has strong robustness to the change of system parameters and resistance disturbance.