感应电动机转子磁链有限时间观测器的设计与仿真

针对感应电动机转子磁链的观测问题,根据有限时间理论,在建立感应电动机数学模型的基础之上,将定子电流和转子磁链作为系统状态,确定了感应电动机的状态方程,设计了有限时间观测器.此外,令观测误差在有限时间内收敛于一个给定的界,进一步收敛到零,由此实现了对磁链状态的观测.最后,通过求解线性矩阵不等式,得到状态观测器的增益值,并利用计算机仿真实现了磁链的有限时间观测,进一步验证了设计方法的有效性.

Design and simulation of the finite-time observer of induction motor rotor flux

To solve the problem of observing rotor flux of the induction motor, based on the mathematic model of induction motor and the theory of finite-time, the state equation of induction motor is established and the finite time observer is designed by taking the stator current and rotor flux linkage as the state parameters of the system. In addition, the observation of the flux state is realized by making the observation error converge to a given boundary in a limited time and further converge to zero. Finally, based on the linear matrix inequality(LMI)approach, the gain value of the state observer is developed, and the finite time observation of the flux is realized by computer simulation, which further verifies the validity of the proposed design method.