Delay-dependent Robust H∞ Controller Design For Uncertain Linear Systems with Time-varying State and Input Delays

This paper studies on delay-dependent robust H_∞ control for uncertain linear systems with time-varying delays both in state and input. Based on an integral inequality, the sufficient condition of the existence for the state feedback controller is presented in terms of LMI, by means of Lyapunov-Krasovskii functional approach; it is proved that the new criterion does not require any assumptions about the system matrices. Finally, a numerical example is presented to demonstrate that using this integral inequality is effective