电磁轴承增益调度多目标控制器设计

Gain scheduling multiobjective controllers for active magnetic bearing

为了减弱转子质量不平衡带来的干扰,提出一种多目标(H2/H∞控制和极点配置)性能要求的增益调度电磁轴承控制器.电磁轴承这类线性参数变化系统(LPV)可认为是参数多面体,在多面体各顶点处采用线性矩阵不等式组(LMIs)和凸优化技术,设计满足闭环极点配置和H2/H∞性能的控制器参数,然后将这些控制器参数综合为一个增益调度控制器.仿真结果表明,利用该方法设计的控制器可使电磁轴承随转速变化始终具有良好的控制性能.

To alleviate the disturbances produced due to rotor mass imbalance, a multiobjeetive （H2/H∞ and pole placement） design procedure for active magnetic bearings（AMB） is presented. Linear parameter varying （LPV） system, such as AMB, is taken as time-varying parameter. Then the LPV model of AMB can be considered as convex polyhedron. At every vertex of convex polyhedron parameter space, state feedback controllers satisfying H2/H∞ and pole placement performance are designed by using linear matrix inequalities （LMIs） and convex optimization approach. By using these designed controllers, an LPV controller is synthesized by using gain scheduled theory. Simulation results prove that the AMB with the gain scheduled multiobjective controller has good performance as the rotor speed varies.