无速度传感器感应电机自适应观测器的稳定性分析与设计

分析了感应电机低速发电工况下现有采用极点配置的自适应观测器存在不稳定区域的原因,得出了自适应观测器在全速范围内稳定的条件.在此基础上提出一种改进的速度自适应律和观测器增益矩阵选取方案.应用Lyapunov稳定性理论,得到基于自适应观测器的速度辨识自适应律;观测器的增益矩阵通过求解2 个双线性矩阵不等式得到.在MATLAB/SIMULINK环境下,对基于自适应观测器的无速度传感器感应电机直接转矩控制进行了仿真.仿真结果表明,本文给出的自适应观测器在全速范围内具有良好的稳态和动态性能,并具有很好的鲁棒性.

Stability Analysis and Design of Adaptive Observer Based Speed Sensorless Induction Motor

Analysis is made to the existence of unstable regions of the present adaptive observer using poleplacement technique in regenerating mode at low speeds, and conditions that ensure the stability the adaptive observer at full speed regions are found out. On this basis, an improved speed adaptive law and a novel method to choose the gain of the observer are proposed. By using the Lyapunov stability theory, speed-identification adaptive law is obtained. The gain of the observer can be obtained by solving two bilinear matrix inequalities. The simulation model of speed-sensorless induction motor using direct torque control based on observer is built in the Matlab/Simulink. Simulation results show that the adaptive observer has good steady and a dynamic performances and a good robustness.