Solution for Dynamics Equations of Control Systems with Time-delay by Precise Integral Algorithm

Abstract

The dynamic system with time-delay exists in various engineering fields. A delayed controlled machine system can be dispersed into an ordinary differential equation with time-delay. The precise integral algorithm used in the paper is a new method for finding the solution of time-delay dynamics systems. Disperse the system equation by treating the delay term as power term, and get the discrete solution by discussing the integral limitations and by linear interpolation and Romberg integral. The comparison with other algorithms reveals that the proposed method is of very simple course and of high accuracy