Abstract:
This paper proposes an approach to model order reduction of stable linear time-invariant (LTI) models. The proposed approach extends time-domain moment matching by the mi...Show MoreMetadata
Abstract:
This paper proposes an approach to model order reduction of stable linear time-invariant (LTI) models. The proposed approach extends time-domain moment matching by the minimization of the {\mathcal{H}_\infty } norm of the error dynamics characterizing the difference between the full-order and reduced-order models given fixed interpolation points. The optimal {\mathcal{H}_\infty } moment matching problem is a constrained optimization problem with bilinear constraints. Introducing a novel numerical procedure, we minimize the approximation error, while respecting the constraints and, thereby, find a suboptimal {\mathcal{H}_\infty } reduced-order model. The effectiveness of the approach is illustrated in a numerical example.
Published in: 2021 60th IEEE Conference on Decision and Control (CDC)
Date of Conference: 14-17 December 2021
Date Added to IEEE Xplore: 01 February 2022
ISBN Information: