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Stability analysis of DC position servo system with interval time-varying delay

This paper details the stability analysis of a networked-control DC position servo system with interval time-varying delays. The mathematical model of the DC position servo system is developed in a state-space framework with time-delay effects. Delay-dependent stability criterion is presented using the Lyapunov-Krasovskii functional and linear matrix inequality techniques. The stability delay margin of the DC position servo system is determined for controller gains and the controller is designed with concern to the time-delay. The effectiveness of proposed results and response of DC position servo system with subjected to time-delay effects are verified using simulation studies.