摘要
根据电磁轴承转子动力学与转速密切相关,转速大范围变化且其变化率有界的特点,提出了一种新的电磁轴承混合H2/H∞控制方法。建立了与转速有关的线性参数变化(LPV)电磁轴承转子动力学模型,根据电磁轴承控制性能目标要求建立了参数相关且可微的线性矩阵不等式方程组(LMIs)综合条件。基于参数有界技术,通过将这些与存在条件有关的线性矩阵不等式方程组转化为有限维凸优化问题来求解电磁轴承H2/H∞最优控制器。仿真结果验证了该控制器始终具有良好的控制性能。
Active magnetic bearing rotor dynamics have strongly dependency on their rotating speed, the speed of the rotor changes overa wide range and its variation rate is bounded. A novel mixed control design approach for active magnetic bearing （AMB） system is presented. A speed-dependent linear parameter varying （LPV） model of the AMB system is derived. Parameter-dependent and differential linear matrix inequalities（LMIs） for control performance objects are proposed. The approach uses parameter bounding technique based on parameter dependent differential linear matrix inequalities, and solves the AMB controller synthesis problem through reformation the existence conditions into finite dimensional convex optimization. Simulation results show that the AMB with the mixed controller has good performance as the rotor rotating speed varies.
出处
《控制工程》
CSCD
北大核心
2011年第5期810-814,共5页
Control Engineering of China
基金
中国博士后科学基金第一批特别资助项目(200801488)
