Optimal Tracking for State‐Dependent Coefficient Factorized Nonlinear Systems

Abstract

This paper pressents an infinite‐horizon optimal controller, based on a state‐dependent R iccati equation approach to solve the tracking for nonlinear systems. The synthesized control law comes from solving the H amilton‐ J acobi‐ B ellman equation for state‐dependent coefficient factorized nonlinear systems. The proposed controller results in a state feedback optimal control law plus a time varying term, which minimizes a quadratic performance index. In order to illustrate the tracking to a desired reference, the proposed optimal control law is applied to two systems with practical applications: the Van der Pol oscillator and a doubly fed induction generator. Simulation results illustrate the effectiveness of the control scheme.