ИСТИНА

The problem of optimal control is formulated for a class of nonlinear objects that can be represented as objects with a linear structure and parameters that depend on the state. The linear structure of the transformed nonlinear system and the quadratic functional of quality allow for the synthesis of optimal control. But for that we need to search the solutions of the Hamilton-Jacobi equation or the SDRE. The main problem of implementing optimal control is related to the problem of finding a solution to such an equation at the pace of object functioning. In this work we proposes an algorithmic method of parametric optimization of the regulator. This method is based on the use of the necessary conditions for the optimality of the control system under consideration. The constructed algorithms can be used both to optimize the non-stationary objects themselves, if the corresponding parameters are selected for this purpose, and to optimize the entire control system by means of the corresponding parametric adjustment of the regulators. The example of drug treatment of patients with HIV is demonstrated the effectiveness of the developed algorithms. In this work, the conditions of the optimization process were formulated that ensure the asymptotic transfer of the quality functional from its peripheral values to a minimum. Based on the method of algorithmic construction, algorithms for parametric optimization of nonlinear control systems with a quadratic functional of quality were presented and investigated. When constructing algorithms for parametric optimization of the system, the property of the behavior of the Hamiltonian on the corresponding trajectory is used.