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Reduced Order Bilinear Observer Associated Optimal Regulator of an Induction Motor

机译：感应电动机的降阶双线性观测器相关最优调节器

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摘要

The state space model of an induction motor (IM) in a synchronously rotating reference frame behaves as a bilinear system due to the products of slate variables and inputs. Thus, it is desirable to design an observer based on bilinear observer theory. This article deals with the design of a reduced order bilinear observer to estimate the rotor flux of IM. The observer can provide stable performance because the gains of observer are calculated by using the Lyapunov stability theory. The proposed observer can be applied with any regulator to control speed and flux of IM since the convergence of error of observer system is completely independent of input variables. Therefore, a multi-input and multi-output (MIMO) optimal regulator is associated with the proposed observer to track the desired speed and flux of IM. The effectiveness of the proposed observer is verified by simulation that is performed by using Matlab/Simulink.
机译：由于板岩变量和输入的乘积，同步旋转参考框架中感应电动机（IM）的状态空间模型表现为双线性系统。因此，期望基于双线性观察者理论来设计观察者。本文讨论了用于估计IM转子磁通的降阶双线性观测器的设计。观察者可以提供稳定的性能，因为使用Lyapunov稳定性理论计算了观察者的增益。所提出的观测器可以与任何调节器一起使用，以控制IM的速度和通量，因为观测器系统的误差收敛完全独立于输入变量。因此，将多输入多输出（MIMO）最佳调节器与建议的观察器相关联，以跟踪IM的所需速度和通量。通过使用Matlab / Simulink执行的仿真，验证了提出的观察者的有效性。

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