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.

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.

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