Balanced Truncation Based Reduction of Large-Scale System

Authors

  • Girijendra Tripathi
  • Awadhesh Kumar

DOI:

https://doi.org/10.37591/jomtra.v6i2.2142

Abstract

Abstract—In this paper model order reduction method are applied on large scale system. In this article Schur based Balanced Truncation method are applied to reduce the original system. In this note it is shown that a not-necessarily-balanced state-space realization of the Moore reduced model can be compute directly without balancing via projections defined in terms of random bases for the left and right eigenspaces related with the “large” eigenvalues of the product of the reach ability and controllability Grampians. A example has been taken to clarify the technique. Simulation and performance analysis have been done in Mat lab software. Simulation result has been given for comparison of higher order and reduced order system. 

Keywords—MOR, Schur based Balanced Truncation.

Cite this Article

Girijendra Tripathi, Awadhesh Kumar. Balanced Truncation Based Reduction of Large-Scale System. Journal of Multimedia Technology & Recent Advancements. 2019; 6(2): 16–21p.

Downloads

Published

2019-07-06

Issue

Vol. 6 No. 2 (2019)

Section

Research Articles

License

Declaration and Copyright Transfer Form

(to be completed by authors)

I/ We, the undersigned author(s) of the submitted manuscript, hereby declare, that the above manuscript which is submitted for publication in the STM Journals(s), is not published already in part or whole (except in the form of abstract) in any journal or magazine for private or public circulation, and, is not under consideration of publication elsewhere.

  • I/We will not withdraw the manuscript after 1 week of submission as I have read the Author Guidelines and will adhere to the guidelines.
  • I/We Author(s ) have niether given nor will give this manuscript elsewhere for publishing after submitting in STM Journal(s).
  • I/ We have read the original version of the manuscript and am/ are responsible for the thought contents embodied in it. The work dealt in the manuscript is my/ our own, and my/ our individual contribution to this work is significant enough to qualify for authorship.
  •  I/We also agree to the authorship of the article in the following order:

Author’s name                                    

 

1. ________________

2. ________________

3. ________________

4. ________________

 

We  Author(s) tick this box and would request you to consider it as our signature as we agree to the terms of this Copyright Notice, which will apply to this submission if and when it is published by this journal.