Robust H_∞ control for uncertain descriptor systems with time-varying delay

The robust H∞ control problem based on state-feedback for descriptor systems with time-varying delay and linear fractional parametric uncertainties was investigated.By using augmented Lyapunov functional and free-weighting matrix approach,the information of delay upper bound in the derivative of Lyapunov functional was retained,a new version of bound real lemma(BRL) for descriptor systems with time-varying delay was presented.Based on obtained BRL,an explicit expression for the desired robust state feedback H∞ controller for uncertain descriptor systems with time-varying delay was given.All obtained results formulated in terms of strict linear matrix inequality(LMI).Numerical examples demonstrated that the proposed methods were effective and less conservative.