An improved regional stabilization method for time-delay system with actuator saturation

In this paper, the control synthesis problem of time-delay systems with actuator saturation is studied by the free-weighting matrix technique and the convex polytope idea. The improvement lies in introducing a scaling factor into the free-weighting matrix. Not only constant delays, but also internally time-varying delays for systems with actuator saturation can be handled by the new approaches. The conditions for estimating the domain of attraction of the origin are proposed in terms of linear matrix inequality. The numerical example is further presented to show the effectiveness and less conservative of the proposed methods.