Article
Balanced POD Algorithm for Robust Control Design for Linear Distributed Parameter Systems
Proceedings of the 2010 American Control Conference (2010: June 30 - July 2, Baltimore, MD)
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 finite 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. Numerical results are presented for a convection diffusion partial differential equation.
Meeting Name
2010 American Control Conference (2010: June 30 - July 2, Baltimore, MD)
Department(s)
Mathematics and Statistics
Document Type
Article - Conference proceedings
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2010 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
Publication Date
1-1-2010
Publication Date
01 Jan 2010
Disciplines
Citation Information
John R. Singler and Belinda A. Batten. "Balanced POD Algorithm for Robust Control Design for Linear Distributed Parameter Systems" Proceedings of the 2010 American Control Conference (2010: June 30 - July 2, Baltimore, MD) (2010) Available at: http://works.bepress.com/john-singler/12/