This paper considers H-infinity control problem for interval descriptor systems.Necessary and sufficient LMI-based conditions are derived for quadratic-like H-infinity control analysis of interval descriptor systems.Using the analysis result,two types of feedback controllers are designed so that the closed-loop interval descriptor systems are admissible with H-infinity-norm less than a prescribed value.To the best of the authors’s knowledge,this is the first paper to deal with the H-infinity control problem of interval descriptor systems in the literature. This paper considers H-infinity control problem for interval descriptor systems. Necessary and sufficient LMI-based conditions are derived for quadratic-like H-infinity control analysis of interval descriptor systems. Using the analysis result, two types of feedback controllers are designed so that the closed-loop interval descriptor systems are admissible with H-infinity-norm less than a prescribed value.Tho the best of the authors’s knowledge, this is the first paper to deal with the H-infinity control problem of interval descriptor systems in the literature .