HEREDITARY MODEL OF INERTIAL TIME DELAY IN OPTIMAL CONTROL PROBLEMS
Saint Petersburg National Research University of Information Technologies, Mechanics and Optics; student
R. O. Peshcherov
ITMO University, Saint Petersburg, 197101, Russian Federation; postgraduate
V. Y. Tertychny-Dauri
ITMO University, Saint Petersburg, 197101, Russian Federation; Professor
Abstract. Organization of time delay in channel of dynamic object control is considered with the use of the Volterra equation with variable limits of integration (integrated hereditary procedure of delay). An integral formula is obtained which allows for setting a control law depending on the time delay value. The formula is derived by an iterative approximation procedure in the scheme of the Volterra integral equation of the second kind.
Keywords: hereditarily, time delay in control, Volterra equation, iterative approximation, integral transformation