Robust H∞ control of interval systems using the delta operator

This paper deals with the problem of robust stabilization of interval systems using the delta operator. Base on a kind of equivalent presentation of the interval systems, some sufficient conditions of robust stabilization of the systems are derived. The state feedback control for robust stabilization can be obtained by solving Riccati inequalities, which can stabilize the systems and guarantee a prescribed H_∞ performance on attenuation of all admissible parameter uncertainties. The proposed approach can unify the related results of the continuous and discrete interval systems into the delta framework.