Synthesis of process dynamics control using current and previously conducted measurements of its state

Abstract

The article investigates a method for synthesizing optimal control of processes (objects, systems) with lumped parameters described by systems of nonlinear autonomous differential equations with ordinary derivatives. To synthesize current process control values, it is proposed to use information about its state both at the current and past moments of time. For the values of control actions, a linear dependence on the measured process states is proposed and used. To determine the optimal values of the feedback parameters involved in these dependencies, the corresponding formulas for the gradient of the objective functional were obtained. Computer experiments were conducted using gradient-type optimization methods. An analysis of the influence of the number of measurements used for feedback on the quality of control is made.