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Robust Control of Permanent Magnet Synchronous Motors
Authors:Zhenhua Deng  Xiaohong Nian
Affiliation:1. School of Information Science and Engineering, Central South University, Changsha, 410004, China;2. Key Lab of System and Control, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100190, China;3. School of Information Science and Engineering, Central South University, Changsha 410004, China
Abstract:In this paper, permanent magnet synchronous motors (PMSMs) are investigated. According to the feature of PMSMs, a novel state equation of PMSMs is obtained by choosing suitable state variables. Based on the state equation, robust controllers are designed via interval matrix and PI control idea. In terms of bilinear matrix inequations, sufficient conditions for the existence of the robust controller are derived. In order to reduce the conservation and the dependence on parameter, the control inputs of PMSMs are divided into two parts, a feedforward control input and a feedback control input, and relevant sufficient conditions for the existence of the controller are obtained. Because of the suitable choice of state variables, the proposed control strategies can cope with the load uncertainty and have robustness for disturbance. Finally, simulations are carried out via Matlab/Simulink soft to verify the effectiveness of the proposed control strategies. The performance of the proposed control strategies are demonstrated by the simulation results. 
Keywords:Bilinear matrix inequality (BMI)  interval matrix  permanent magnet synchronous motor (PMSM)  robust control
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