A necessary and sufficient condition for parameter insensitive disturbance-rejection problem with state feedback

Authors:
Naohisa Otsuka
Affiliations:
Department of Information Sciences, Tokyo Denki University, Hatoyama-Machi, Hiki-Gun, Saitama 350-0394, Japan
Venue:
Automatica (Journal of IFAC)
Year:
2006

Citing 2
Cited 0

On the robust controlled invariant

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Robust disturbance decoupling problem for parameter dependent families of linear systems

Automatica (Journal of IFAC)

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Abstract

In this paper a necessary and sufficient condition for a parameter insensitive disturbance-rejection problem with state feedback which was pointed out as an open problem by Bhattacharyya to be solvable is proved. A constructive algorithm of simultaneously (A,B)-invariant subspaces for a finite-number of linear systems and a relationship between simultaneously (A,B)-invariant subspaces and generalized (A,B)-invariant subspaces play an important role to prove the main result.