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This paper discusses a design problem of an adaptive robust output feedback controller for a class of uncertain linear systems. The uncertainties under consideration satisfy the matching condition and are bounded, but their upper bounds are unknown. The proposed adaptive robust output feedback controller consists of a fixed gain controller, an adjustable parameter and a variable gain controller. In this paper, we present a design method of an adaptive robust output feedback control system. Finally, illustrative examples are presented to show the efficiency of the proposed adaptive robust controller.