On the computation of reachability, stabilisability and output-nulling subspaces using the Rosenbrock system matrix
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Ntogramatzidis, Lorenzo
Schmid, R.
Ferrante, A.
Date
2012Type
Conference Paper
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Ntogramatzidis, Lorenzo and Schmid, Robert and Ferrante, Augusto. 2012. On the computation of reachability, stabilisability and output-nulling subspaces using the Rosenbrock system matrix, Proceedings of the 2012 Australian Control Conference, Nov 15-16 2012, pp. 411-416. Sydney, NSW: Engineers Australia.
Source Title
Proceedings of the 2nd Australian Control Conference (AUCC)
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2012 Australian Control Conference
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Abstract
In this paper we offer a set of algorithms for the computation of the fundamental subspaces of linear time invariant (LTI) systems, which appear in the solution of a large number of control and estimation problems. In particular, we employ the Rosenbrock system matrix pencil to provide algorithms for the computation of output-nulling, reachability and stabilisability subspaces. We show via an example that these methods can offer superior reliability than other commonly used methods employing subspace recursions.
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