ИСТИНА

An optimal control problem was formulated for a class of nonlinear systems which can be presented by a system with a linear structure and state-depended coefficients (SDC). The system be under the influence of uncontrollable disturbance is supposed. In this paper, the problem of control uncertain nonlinear object to the desired trajectory is considered using the theory of differential games. Parameters of the suboptimal controller are found from the solutions of two differential equations with given initial conditions and the state-depended coefficients. In the paper we propose a method for the construction of guaranteeing control that does not require the solution of nonlinear differential equations with state depending coefficients and provide an acceptable transient response.