Solution of equation XA + XBXE = HXE and the pole assignment in linear singular systems: application to constrained control

Solution of equation XA + XBXE = HXE and the pole assignment in linear singular systems: application to constrained control

This paper deals with the pole assignment problem for linear singular systems by using state feedback control. The solution of the non-linear algebraic equation XA + XBXE = HXE is studied. Necessary and sufficient conditions of existence of the solution are presented in this work. The link between t...

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Veröffentlicht in:IMA journal of mathematical control and information 2012-09, Vol.29 (3), p.343-356
Hauptverfasser: Benzaouia, A., Darouach, M., Hmamed, A.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Automatic
Constraints
Control systems
Engineering Sciences
Links
Mathematical analysis
Nonlinearity
Pole assignment
State feedback
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Zusammenfassung:This paper deals with the pole assignment problem for linear singular systems by using state feedback control. The solution of the non-linear algebraic equation XA + XBXE = HXE is studied. Necessary and sufficient conditions of existence of the solution are presented in this work. The link between the pole assignment problem and the solution of this equation is related. Application to the constrained control problem of linear singular systems is also presented. Conditions of positive invariance are then established.
ISSN:0265-0754
1471-6887
DOI:10.1093/imamci/dnr044