Dissipativity Based Reliable Sampled Data Control With Nonlinear Actuator Faults

Abstract

In this paper, the problem of reliable sampleddata control design with strict dissipativity for a class of linear continuoustimedelay systems against nonlinear actuator faults is studied. The main objective of this paper is to design a reliable sampleddata controller to ensure a strictly dissipative performance for the closedloop system. Based on the linear matrix inequality (LMI) optimization approach and Wirtingerbased integral inequality, a new set of sufficient conditions is established for reliable dissipativity analysis of the considered system by assuming the mixed actuator fault matrix to be known. Then, the proposed result is extended to unknown fault matrix case. Also, the reliable sampleddata controller with strict dissipativity is designed by solving a convex optimization problem which can be easily solved by using standard numerical algorithms. Finally, a numerical example based on liquid propellant rocket motor with a pressure feeding system model is presented to illustrate the effectiveness of the developed control design technique.