Robust output feedback controller design for uncertain delayed systems with sensor failure

In this paper, we consider the problem of designing H ∞ static output feedback controller for systems with delayed state, delayed input and sensor failure. Two sufficient conditions for the existence of H ∞ output feedback controllers are presented. Furthermore, by using variable transformation and Schur complement, the obtained result can be rewritten as a matrix inequality representation. Through a set of solution of matrix inequalities, we can obtain the static output controller that can make the closed-loop system asymptotically stable, and its H ∞ norm being less than the given bound. Finally, an example is presented to show that the effectiveness of the method.