Input-to-state Stability Analysis for Servo Drive Systems with Time-varying Delays and Disturbances

This paper is devoted to studying input-to-state stability analysis for servo drive systems with time-varying delays and disturbances. With the help of the Lyapunov-Krasovskii functional method and the free-weighting matrices approach, a new input-to-state stability criterion on servo drive systems with time-varying delays and disturbances is proposed. Based on the criterion, the relationship between the PID controller gains and the input-to-state stability of the system can be obtained. Finally, a numerical example and a case study are given to show that the proposed criterion is effective.