Singular perturbation approximation of large, dense linear systems

We discuss the parallel implementation of singular perturbation approximation (SPA) model reduction methods for large-scale linear control systems. The methods are based on balanced truncation methods using full-rank factors of the system Gramians. These factors are computed via an efficient iterati...

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Bibliographic Details
Main Authors: Benner, P., Quintana-Orti, E.S., Quintana-Orti, G.
Format: Conference Proceeding
Language:English
Subjects:
Concurrent computing
Control system synthesis
Distributed computing
Equations
Frequency
Iterative methods
Large-scale systems
Linear systems
Reduced order systems
Steady-state
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Summary:We discuss the parallel implementation of singular perturbation approximation (SPA) model reduction methods for large-scale linear control systems. The methods are based on balanced truncation methods using full-rank factors of the system Gramians. These factors are computed via an efficient iterative scheme based on the sign function method for solving linear matrix equations. The implementation of these iterations and of the SPA formulae is shown to be highly efficient on parallel computers with distributed memory.
DOI:10.1109/CACSD.2000.900220