Delay-dependent robust H∞ control for uncertain systems with time-varying delays

The paper deals with the robust H, control problem for uncertain linear systems with multiple state delays. The parameter uncertainties are time varying and unknown, but are normbounded, and the delays are time varying. Based on the LMI approach, a new method for designing a robust memoryless state feedback control law is proposed to stabilise this class of uncertain time-delay systems, and to reduce the effect of the disturbance input on the controlled output to a prescribed level for all admissible uncertainties. The results depend on the size and the varying rate of the delays and may be less conservative.