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机构地区:[1]中南大学信息与网络中心,长沙410004 [2]中国南车株洲电力机车研究所,株洲412001
出 处:《控制工程》2016年第6期884-889,共6页Control Engineering of China
基 金:国家自然科学基金(60774065);中国博士后科学基金(2005038558)
摘 要:提出一种新型的适合全速范围内的速度辩识方案,从PMSM电机数学模型出发,设计以定子电流和磁链为状态量的全阶自适应观测器,引入李亚普诺夫稳定性理论,设计加入约束矩阵P的新的李亚普诺夫函数,判定函数稳定性得到速度辨识律,通过MATLAB的LMI工具箱求解双线性不等式,得到观测器的常数矩阵增益,使得观测器的稳定性能够在包括零点的足够大的对称区间得到保证,因此系统能在从低速到高速的整个速度范围内稳定的运行,并且具有较高的动静态性能,通过仿真实验所得到的结果验证了所提方案的正确性和可行性。A novel estimation approach which can work in the whole speed range is presented in this paper. Starting from the PMSM mathematical model, a full-order adaptive observer is designed in which the status variables are stator current and flux, therefore, the Lyapunov stability theorem is introduced, a new Lyapunov function is designed in which constant matrix P is introduced, the speed-adaptive law is given by detecting the stability of the function, the constant matrix gain of the observer is obtained by solving bilinear matrix inequalities though the LMI toolbox of MATLAB. The stability of the observer is ensured in a sufficiently large symmetric interval including zero points. Therefore, the sensorless system is capable of working steadily in the whole speed range from low speed to high speed and exhibits good dynamic and steady-state performance. The correctness and feasibility of the proposed method is testified by the simulation results.
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