A descriptor system approach to guaranteed cost control for nonlinear neutral systems

Abstract

This paper investigates the guaranteed cost control and optimization design for a class of nonlinear neutral systems. Using a descriptor system model transformation approach, a sufficient condition for the existence of guaranteed cost controller is given in terms of linear matrix inequalities(LMIs). In this method, the nonlinear parameter perturbation is viewed as effective information. Further, the design of an optimal guaranteed cost controller is reduced to a convex optimization problem. Finally, two examples are given to illustrate the controller design method and show the advantages of the obtained results over the existing results in the literatures.