Robust energy-to-peak estimation for continuous-time polytopic uncertain time-delay systems

This paper is concerned with the problem of full-order robust L
2
— L
∞
estimation for continuous-time polytopic uncertain time-delay systems. An improved L
2
— L
∞
performance criterion is provided in terms of linear matrix inequalities. It exhibits a ldnd of decoupling between the Lyapunov matrices and the system dynamic matrices compared with the existing result. Then two sufficient conditions for the existence of the robust estimator are established based on the two performances respectively. At the same time, two admissible estimators are presented. A numerical example demonstrates the effectiveness of the two approaches and advantage of the second estimator design approach.