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Article
Balanced POD for Linear PDE Robust Control Computations
Computational Optimization and Applications
  • John R. Singler, Missouri University of Science and Technology
  • Belinda A. Batten
Abstract
A mathematical model of a physical system is never perfect; therefore, robust control laws are necessary for guaranteed stabilization of the nominal model and also "nearby" systems, including hopefully the actual physical system. We consider the computation of a robust control law for large-scale nite dimensional linear systems and a class of linear distributed parameter systems. The controller is robust with respect to left coprime factor perturbations of the nominal system. We present an algorithm based on balanced proper orthogonal decomposition to compute the nonstandard features of this robust control law. Convergence theory is given, and numerical results are presented for two partial di erential equation systems.
Department(s)
Mathematics and Statistics
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2011 Springer-Verlag, All rights reserved.
Publication Date
1-1-2011
Citation Information
John R. Singler and Belinda A. Batten. "Balanced POD for Linear PDE Robust Control Computations" Computational Optimization and Applications (2011)
Available at: http://works.bepress.com/john-singler/11/