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<p>The method for synthesizing optimal control of processes (objects, systems) with concentrated parameters described by nonlinear autonomous differential equations with ordinary derivatives is investigated. To synthesize current process control values, it is proposed to use information about its state at both current and past time moments. Different types of dependences of control influence values on measured process states are proposed and used. To determine the optimal values of the feedback parameters involved in these dependences, the corresponding formulas for the gradient of the objective functional were obtained. Computer experiments were conducted using gradient-based optimization methods.</p>

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Synthesis of Optimal Control of a Process Using Current and Previously Conducted Measurements of its State

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • V. A. Hashimov

摘要

The method for synthesizing optimal control of processes (objects, systems) with concentrated parameters described by nonlinear autonomous differential equations with ordinary derivatives is investigated. To synthesize current process control values, it is proposed to use information about its state at both current and past time moments. Different types of dependences of control influence values on measured process states are proposed and used. To determine the optimal values of the feedback parameters involved in these dependences, the corresponding formulas for the gradient of the objective functional were obtained. Computer experiments were conducted using gradient-based optimization methods.