Model Predictive Position Control for a Planar Switched Reluctance Motor Using Parametric Regression Model

Long Chen, Su-Dan Huang, Jin-Chang Guo, Zhi-Yong Hu, Xing-Dong Fu, G. Cao
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引用次数: 5

Abstract

A model predictive position control (MPPC) method based on a parametric regression model is proposed in this paper, to achieve high-precision positioning for a planar switched reluctance motor (PSRM) developed in the laboratory. First, the mechanism model of the PSRM system represented by a discrete-time state space model is given. To reduce modeling error caused by the uncertainty, a two-order parametric regression model is then used to describe the PSRM. With the thrust force input signal and the position output signal, the parameters of this model are obtained by using a recursive least squares method with forgetting factor. Based on the built model, a predictive model is established to predict the future position. By defining a cost function, an optimized control action sequence is obtained with the predictive model. Additionally, a comparison is performed experimentally. The experimental results verify the effectiveness of the proposed MPPC for high-precision positioning.
基于参数回归模型的平面开关磁阻电机位置预测控制
为实现实验室研制的平面开关磁阻电机(PSRM)的高精度定位,提出了一种基于参数回归模型的模型预测位置控制(MPPC)方法。首先,给出了用离散时间状态空间模型表示的PSRM系统的机理模型。为了减少不确定性带来的建模误差,采用二阶参数回归模型来描述PSRM。在推力输入信号和位置输出信号的基础上,采用带遗忘因子的递推最小二乘法求出模型参数。在此基础上,建立预测模型,对未来的位置进行预测。通过定义成本函数,利用预测模型得到最优的控制动作序列。此外,还进行了实验比较。实验结果验证了该方法在高精度定位中的有效性。
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