Robust H∞ control for a class of uncertain neutral-type systems with time-varying delays

This paper investigates the problem of robust H infinity asymptotic stabilization for a class of uncertain neutral-type systems with time-varying delays. A sufficient condition is obtained to ensure the considered system is robust asymptotic stabilization with disturbance attenuation level gamma, which is based on the sliding mode observer framework. Meanwhile, a novel integral sliding surface function with the compensator is proposed to make sure the considered system can be stabilized. And the gain matrix is obtained by solving a strict linear matrix inequality. Finally, two numerical examples are provided to demonstrate the validity and potential of the proposed method.