Abstract: In order to realize precise feedback linearization and optimal control of motor power consumption for MIMO nonlinear affine system, we build the model of induction motor within which dynamic power loss factor is included. Based on the differential geometry theory, a nonlinear optimization model of the controller is designed for this model to control the asynchronous motor outputs accurately and enhance the power efficiency. This paper presents an optimal control law for multiple inputs multiple outputs affine nonlinear system and the detailed design steps are given combined with examples for multiple outputs tracking problem. The simulation results show that by applying this method, stable control of induction motor can be achieved, and during the motor start-up phase, the average active efficiency is improved significantly from 47.6% to 64.9%.

Key words: Asynchronous motor, controllable loss, efficiency model, feedback linearization, nonlinear optimal control