基于LMI的磁轴承-转子系统鲁棒增益调度控制器设计

Gain-scheduled Robust Controller Design for AMB-rotor System Based on LMI

针对陀螺效应明显的磁轴承-转子系统转速变化引起的模型变化而带来的控制问题,提出基于LMI的鲁棒增益调度方法设计控制器。通过建立系统依转速变化的LPV模型,设计了鲁棒增益调度控制器,使转子在全转速范围内保证了鲁棒稳定性和性能。为降低控制器设计的保守性,可缩小转速区间设计控制器使控制性能得到提高。与基于LTI模型设计的鲁棒控制器相比,LPV鲁棒增益调度控制器在保证控制性能同时,实现以转速为参数的自适应调节。仿真结果验证了此控制器的有效性和先进性。

Gain-scheduled robust control design method based on LMI was adopted to resolve the control problem of speed- dependent model varying for AMB-rotor system with strong gyroscopic effect. Speed-dependent LPV model was derived, and gainscheduled robust controller was designed which can guarantee the robust stabihty and performance in the whole speed range. As for reducing the design conservation, controller design should have the speed range limit. Compared with the robust controller based on LTI model, LPV gain-scheduled robust controller guarantees the performances and realizes the adaptive parameter adjustment for the varying speed. The simulation validates the effectiveness and advancement of the designed controller.