Robust quadratic stability and stabilization with integrity for uncertain discrete descriptor systems

In this paper, the problems of robust quadratic stability and stabilization with integrity are explored for uncertain discrete descriptor systems using algebraic Riccati inequalities. Sufficient conditions for the quadratic stability and stabilization by state feedback are given. The state feedback control law is designed such that it keeps the resultant closed loop system to be quadratically stable when system actuators are fault, i.e., the resultant closed loop systems possess integrity. A numerical example is presented to illustrate the results.