New design method on robust H∞ controller for linear system with state delay

This paper addresses the robust H
∞
control problem of a class of linear systems with state delay. The analysis result of robust H
∞
control for this system is obtained by using linear matrix inequality (LMI) technique and three sufficient conditions which guarantee the robust stability of the closed-loop system are given. All of the sufficient conditions for the existence of robust H
∞
controllers for the linear systems with state delay are given in terms of LMIs. At last, two examples are given to illustrate that the new methods are more effective than the present method.