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Построение управления для нелинейной системы с квазипостоянными параметрами регулятора.
In a method for synthesizing control of a nonlinear object with a quadratic quality functional is considered, based on the acceptance of the "extended linearization" of the initial mathematical model of the object. In this case, the parameters of the nonlinear regulator are determined by solutions of a matrix equation of Riccati type with parameters that depend on the state of the object. It is noted that the main problem of implementing such a regulator is the complexity of finding the solution of this equation at the pace of the object's operation. To solve it, a method based on the search for regulator parameters for each time interval of the control interval is proposed. The developed method of synthesis and implementation of control of a nonlinear object is suggested to be checked by constructing a strategy for the introduction of drugs in the treatment of cancer using a mathematical model of the dynamics of the growth of cancer tissue and its interaction with normal and immune cells. The results of mathematical modeling performed to check the effectiveness of the solutions obtained are presented.