Guaranteed cost reliable control with pole constrains for uncertain delta operator systems

The pole assignment and the guaranteed cost control for uncertain delta operator systems are studied by this article. It provides a sufficient condition of placing the poles in the specified disc and the existence condition of the guaranteed cost reliable control law in terms of linear matrix inequalities by using state feedback. Then, the guaranteed cost reliable control with pole constrains design procedure is given by the paper. Finally, a numerical example is provided to demonstrate the feasibility and the effectiveness of the design method.