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.
Recommended Citation
J. R. Singler and B. A. Batten, "Balanced POD for Linear PDE Robust Control Computations," Computational Optimization and Applications, Springer-Verlag, Jan 2011.
The definitive version is available at https://doi.org/10.1007/s10589-011-9451-x
Department(s)
Mathematics and Statistics
International Standard Serial Number (ISSN)
0926-6003
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2011 Springer-Verlag, All rights reserved.
Publication Date
01 Jan 2011
