Switched Systems Reduction Framework Based on Convex Combination of Generalized Gramians
Joint Authors
Shaker, Hamid Reza
Wisniewski, Rafael
Source
Journal of Control Science and Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-02-14
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Electronic engineering
Information Technology and Computer Science
Abstract EN
A general method for model-order reduction of switched linear dynamical systems is presented.
The proposed technique uses convex generalized gramian which is a convex combination of the generalized gramians.
It is shown that different classical reduction methods can be developed into the generalized gramian framework for model reduction of linear systems and further for the reduction of switched systems by construction of the convex generalized gramian.
Balanced reduction within specified frequency bound is taken as an example which is developed within this framework.
In order to avoid numerical instability and also to increase the numerical efficiency, convex generalized gramian-based Petrov-Galerkin projection is constructed instead of the similarity transform approach for reduction.
It is proven that the method preserves the stability of the original switched system at least for stabilizing switching signal and it is also less conservative than the method which is based on the common generalized gramian.
Some discussions on the coefficient of the vertices of the convex variables are presented.
The performance of the proposed method is illustrated by numerical examples.
American Psychological Association (APA)
Shaker, Hamid Reza& Wisniewski, Rafael. 2010. Switched Systems Reduction Framework Based on Convex Combination of Generalized Gramians. Journal of Control Science and Engineering،Vol. 2009, no. 2009, pp.1-11.
https://search.emarefa.net/detail/BIM-492439
Modern Language Association (MLA)
Shaker, Hamid Reza& Wisniewski, Rafael. Switched Systems Reduction Framework Based on Convex Combination of Generalized Gramians. Journal of Control Science and Engineering No. 2009 (2009), pp.1-11.
https://search.emarefa.net/detail/BIM-492439
American Medical Association (AMA)
Shaker, Hamid Reza& Wisniewski, Rafael. Switched Systems Reduction Framework Based on Convex Combination of Generalized Gramians. Journal of Control Science and Engineering. 2010. Vol. 2009, no. 2009, pp.1-11.
https://search.emarefa.net/detail/BIM-492439
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492439