For a nonlinear tracking control system, linearizing the nonlinear system and then a linear control algorithm is generally applied to design the control system. But for some nonlinear control system the effect of nonlinear term to control performance is tremendous, the linear control law cannot satisfy the control performance of the nonlinear system. In this paper we propose a nonlinear control law to solve the nonlinear problem.
In this paper we will use the higher order polynomial feedback control law to control the nonlinear tracking system. According the optimal control theory, the costate vector is firstly expressed as higher order polynomial matrix and then the matrix coefficient of high order polynomial feedback control law is finally solved.
