REGULARIZATION OF SINGULAR SYSTEMS BY OUTPUT FEEDBACK

REGULARIZATION OF SINGULAR SYSTEMS BY OUTPUT FEEDBACK

Problem of regularization of a singular system by derivative and proportional output feedback is studied. Necessary and sufficient conditions axe obtained under which a singular system can be regularized into a closed-loop system that is regular and of index at most one. The reduced form is given th...

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Veröffentlicht in:Journal of computational mathematics 2000-01, Vol.18 (1), p.43-60
Hauptverfasser: Chu, De-lin, Cai, Da-yong
Format: Artikel
Sprache:eng
Schlagworte:
Automats
Canonical forms
Diagonal lemma
Eigenvalues
Integers
Logical givens
Pencils
Positive feedback
Sufficient conditions
System observability
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Zusammenfassung:Problem of regularization of a singular system by derivative and proportional output feedback is studied. Necessary and sufficient conditions axe obtained under which a singular system can be regularized into a closed-loop system that is regular and of index at most one. The reduced form is given that can easily explore the system properties as well as the feedback to be determined. The main results of the present paper are based on orthogonal transformations. Therefore, they can be implemented by numerically stable ways.
ISSN:0254-9409
1991-7139