Simultaneously stabilizing controllers subject to QI subspace constraints

Simultaneously stabilizing controllers subject to QI subspace constraints

In this paper, we establish a necessary and sufficient condition for the existence of a simultaneously stabilizing controller in the given quadratically invariant (QI) subspace constraints for time-varying linear systems within the framework of nest algebra. Furthermore, based on the bicoprime facto...

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Veröffentlicht in:European journal of control 2017-09, Vol.37, p.63-69
1. Verfasser: Yu, Tianqiu
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Banach spaces
Control theory
Controllers
Coprime factorization
Economic models
Generalized linear models
Hilbert space
Invariants
Linear systems
Quadratically invariant
Simultaneous stabilization
Sparsity
Time-varying linear system
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Zusammenfassung:In this paper, we establish a necessary and sufficient condition for the existence of a simultaneously stabilizing controller in the given quadratically invariant (QI) subspace constraints for time-varying linear systems within the framework of nest algebra. Furthermore, based on the bicoprime factorizations, a necessary and sufficient condition is derived for the existence of a stabilizing controller subject to QI subspace constraints. These results hold as well in the time-invariant case.
ISSN:0947-3580
1435-5671
DOI:10.1016/j.ejcon.2017.05.008