Frequency Weighted Model Order Reduction Technique and Error Bounds for Discrete Time Systems
Joint Authors
Ghafoor, Abdul
Sreeram, Victor
Imran, Muhammad
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-18
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Model reduction is a process of approximating higher order original models by comparatively lower order models with reasonable accuracy in order to provide ease in design, modeling and simulation for large complex systems.
Generally, model reduction techniques approximate the higher order systems for whole frequency range.
However, certain applications (like controller reduction) require frequency weighted approximation, which introduce the concept of using frequency weights in model reduction techniques.
Limitations of some existing frequency weighted model reduction techniques include lack of stability of reduced order models (for two sided weighting case) and frequency response error bounds.
A new frequency weighted technique for balanced model reduction for discrete time systems is proposed.
The proposed technique guarantees stable reduced order models even for the case when two sided weightings are present.
Efficient technique for frequency weighted Gramians is also proposed.
Results are compared with other existing frequency weighted model reduction techniques for discrete time systems.
Moreover, the proposed technique yields frequency response error bounds.
American Psychological Association (APA)
Imran, Muhammad& Ghafoor, Abdul& Sreeram, Victor. 2014. Frequency Weighted Model Order Reduction Technique and Error Bounds for Discrete Time Systems. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-476501
Modern Language Association (MLA)
Imran, Muhammad…[et al.]. Frequency Weighted Model Order Reduction Technique and Error Bounds for Discrete Time Systems. Mathematical Problems in Engineering No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-476501
American Medical Association (AMA)
Imran, Muhammad& Ghafoor, Abdul& Sreeram, Victor. Frequency Weighted Model Order Reduction Technique and Error Bounds for Discrete Time Systems. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-476501
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476501