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Modeling in the Physical Domain: An Optimization-Based Approach

[+] Author Affiliations
Yong Ye, Kamal Youcef-Toumi

Massachusetts Institute of Technology, Cambridge, MA

Paper No. IMECE2002-39579, pp. 565-572; 8 pages
doi:10.1115/IMECE2002-39579
From:
  • ASME 2002 International Mechanical Engineering Congress and Exposition
  • Dynamic Systems and Control
  • New Orleans, Louisiana, USA, November 17–22, 2002
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 0-7918-3629-0 | eISBN: 0-7918-1691-5, 0-7918-1692-3, 0-7918-1693-1
  • Copyright © 2002 by ASME

abstract

With the increasing complexity of dynamic systems, model reduction has become an attractive research topic. A very useful type of reduced models is obtained by removing as many physical components as possible from the original model, known as model reduction in the physical domain. Many results have been achieved in this area during past decades. Nonetheless, the newest developments in engineering practice as well as in theoretical research have brought about further challenges and opportunities. This paper expands the scope of model reduction in physical domain, and proposes a criterion based on the H∞ norm of certain error model is proposed. The model reduction problem is then formulated as an optimization problem with bilinear matrix inequality (BMI) constraints, which can be solved with various processes. Several examples are presented to illustrate the use of the proposed model reduction scheme.

Copyright © 2002 by ASME

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