An unified LMI approach to reliable D-stabilization controller design for linear systems

Abstract

The reliable D-stabilization control problem is studied in an unified framework for linear continuous time systems, linear discrete time systems and linear delta operator systems. The aim is to design a controller which can tolerate actuator failures and sensor failures, and ensure the closed-loop poles locate in a specified disk on complex plane. The continuous model of actuator failure and sensor failure is considered. An sufficient condition for the existence of such controllers is derived via the linear matrix inequality (LMI) approach, and a design procedure of the controllers is presented. A numerical example is provided to demonstrate availability and efficiency of the design method.