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永磁同步电机伺服系统采样量化H_∞控制
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摘要
针对永磁同步电机伺服系统中存在的参数摄动、外部扰动和采样量化误差,本文提出采样量化状态反馈H_∞控制问题.为了解决该控制问题,将采样量化误差处理为系统的外部扰动项,建立永磁同步电机伺服采样闭环控制系统,给出其采样量化H_∞性能的定义.并运用Lyapunov稳定性理论给出了控制器存在的线性矩阵不等式条件.仿真实验验证了该方法的可行性和有效性.
In this paper, the sampling H_∞ control with quantization errors is presented for the permanent magnet synchronous motor(PMSM) servo system, in which there exists parameter variations, external disturbances and quantization errors. In order to solve this control problem, the sampled quantization errors are treated as external disturbances. Then, the sampled closedloop system for the PMSM servo system is established. The definition of the sampled H_∞ control is also given. The existence conditions of the controller are derived based on LMI technology by applying the Lyapunov stability theory. The feasibility and validity of the method is verified by the simulation example.
引文
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