Lyapunov Matrices Approach to the Parametric Optimization of Time Delay System with PID Controller

摘要

In the paper a Lyapunov matrices approach to the parametric optimization problem of time delay system with a PID-controller is presented. The value of integral quadratic performance index is equal to the value of Lyapunov functional for the initial function of the time delay system. The Lyapunov functional is determined by means of the Lyapunov matrix. The example of the inertial system with time delay and with a PID-controller is presented.