Robust H∞ reliable control for neutral time-invariant systems with lumped delays

To uncertain linear neutral systems with time-invariant lumped delays, this paper introduces a method of designing state feedback H_∞ reliable controller with actuator mixed fault model of actuator failures, in terms of LMI, and gives a sufficient condition which satisfies that reliable H_∞ norm non-exceed a specified positive number. A reliable H_∞ controller will be given via solving LMI. A numerical example is also given to illustrate the design procedure and its effectiveness.