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Article
Model Reduction of Linear PDE Systems: A Continuous Time Eigensystem Realization Algorithm
Proceedings of the 2012 American Control Conference (2012, Montreal, Canada)
  • John R. Singler, Missouri University of Science and Technology
Abstract

The Eigensystem Realization Algorithm (ERA) is a well known system identification and model reduction algorithm for discrete time systems. Recently, Ma, Ahuja, and Rowley (Theoret. Comput. Fluid Dyn. 25(1) : 233-247, 2011) showed that ERA is theoretically equivalent to the balanced POD algorithm for model reduction of discrete time systems. We propose an ERA for model reduction of continuous time linear partial differential equation systems. The algorithm differs from other existing approaches as it is based on a direct approximation of the Hankel integral operator of the system. We show that the algorithm produces accurate balanced reduced order models for an example PDE system.

Meeting Name
2012 American Control Conference (2012: Jun. 27-29, Montreal, Canada)
Department(s)
Mathematics and Statistics
Document Type
Article - Conference proceedings
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2012 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
Publication Date
1-1-2012
Citation Information
John R. Singler. "Model Reduction of Linear PDE Systems: A Continuous Time Eigensystem Realization Algorithm" Proceedings of the 2012 American Control Conference (2012, Montreal, Canada) (2012)
Available at: http://works.bepress.com/john-singler/28/