Abstract
Real-time control of a physical system necessitates controllers that are low order. In this paper, we compare two balanced truncation methods as a means of designing low order compensators for partial differential equation (PDE) systems. The first method is the application of balanced truncation to the compensator dynamics, rather than the state dynamics, as was done in cite{Skelton:1984}. The second method, LQG balanced truncation, applies the balancing technique to the Riccati operators obtained from a specific LQG design. We discuss snapshot-based algorithms for constructing the reduced order compensators and present numerical results for a two dimensional convection diffusion PDE system.
Recommended Citation
J. R. Singler and B. A. Batten, "A Comparison of Balanced Truncation Methods for Closed Loop Systems," Proceedings of the American Control Conference, 2009, Institute of Electrical and Electronics Engineers (IEEE), Jun 2009.
The definitive version is available at https://doi.org/10.1109/ACC.2009.5160658
Meeting Name
American Control Conference, 2009
Department(s)
Mathematics and Statistics
Keywords and Phrases
Distributed Parameter Systems; Nonlinear Systems; Numerical Algorithms
Document Type
Article - Conference proceedings
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2009 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
Publication Date
01 Jun 2009
