Modeling of nonlinear control object 3-th order with optimal stabilization of the final state

We consider the problem of optimal stabilization of nonlinear control objects 3-th order, described by ordinary differential equations with constant coefficients. Optimal stabilization is understood in the sense of minimization of a quadratic functional for the linearized control object. The linearization is performed at each step of numerical integration of nonlinear system of differential equations and calculated the matrix of the optimal regulator. Management in the form of state feedback is applied to non-linear object at each step of numerical integration. The results of simulation with plotting transient systems and the closed-loop optimal controller.