H∞ model reduction for polytopic systems with time-varying delay

Abstract This paper addresses the H∞ model reduction problem for a polytopic system with time-varying delay. The delay-dependent sufficient conditions are presented to construct the reduced-order models such that the H∞ norm of the error system between the full-order model and the reduced-order one is less than a prescribed scalar. By employing a sequential convex optimization approach, two examples are employed to demonstrate the effectiveness of the proposed method.

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