Nonlinear optimal controller of three- phase induction motor using quasilinearization

Abstract

— This paper presents the solution of the nonlinear optimal control problem of three-phase induction motor (IM). A third order nonlinear model described in arbitrary rotating frame of induction motor is used in this paper along with a quadratic performance index. The problem is solved using the quasilineraization approach which converts the nonlinear optimal control problem into sequence of linear quadratic optimal control problems. The optimal trajectories of fluxes, speed, currents, and torque that represent the model states and controls of IM are presented in this paper.