Error Bound for Non-Zero Initial Condition Using the Singular Perturbation Approximation Method

Author:

Daraghmeh Adnan,Qatanani Naji

Abstract

In this article, we present up to date results on the balanced model reduction techniques for linear control systems, in particular the singular perturbation approximation. One of the most important features of this method is it allows for an a priori L 2 and H ∞ bounds for the approximation error. This method has been successfully applied for systems with homogeneous initial conditions, however, the main focus in this work is to derive an L 2 error bound for singular perturbation approximation for system with inhomogeneous initial conditions, extending the work by Antoulas et al. The theoretical results are validated numerically.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Reduction of Large-Scale Dynamical Systems by Extended Balanced Singular Perturbation Approximation;International Journal of Mathematical, Engineering and Management Sciences;2020-10-01

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