Abstract
Moore's balancing method of model reduction has many attractive properties and is used widely in practice. However, this method suffers from the drawback that it is not applicable for unstable systems. This paper introduces a balancing method of model reduction to overcome this problem. The proposed technique obtains the reduced order model by balancing and truncating frequency domain controllability and observability Gramians. Analytical treatment is given for associated properties of the Gramians, and the balancing and truncation steps of model reduction. A numerical example is used to demonstrate the new approach. © 1990.
Recommended Citation
R. Prakash and V. S. Rao, "A Balancing Method For Reduced Order Modelling Of Unstable Systems," Mathematical and Computer Modelling, vol. 14, pp. 418 - 423, Elsevier, Jan 1990.
The definitive version is available at https://doi.org/10.1016/0895-7177(90)90219-D
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
Balancing; Frequency domain; Gramians; Reduced Order Modelling; Unstable systems
International Standard Serial Number (ISSN)
0895-7177
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 Elsevier, All rights reserved.
Publication Date
01 Jan 1990
