Delay-dependent gamma-suboptimal H-infinity model reduction for neutral systems with time-varying delays

摘要

In this paper the model reduction problem of neutral systems with time-varying delays is studied with gamma suboptimality under the H-infinity measure. A delay-dependent bounded realness condition of the H-infinity norm is given via linear matrix inequalities (LMIs). Based on such a condition, a sufficient condition to characterize the existence of the reduced-order models is given in terms of LMIs with inverse constraints. By employing a sequential convex optimization approach, a reduced-order model can be computed with H-infinity error less than some prescribed scalar gamma.