On the computation of reachability, stabilisability and output-nulling subspaces using the Rosenbrock system matrix
Lorenzo Ntogramatzidis, Robert Schmid, Augusto Ferrante
2012 2ND AUSTRALIAN CONTROL CONFERENCE (AUCC) | IEEE | Published : 2012
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. © 2012 Institute of Engineers.
Awarded by Italian Ministry for Education and Research (MIUR) under PRIN
Awarded by Australian Research Council
Partially supported by the Italian Ministry for Education and Research (MIUR) under PRIN grant n. 20085FFJ2Z and by the Australian Research Council under the grant FT120100604.