Fractional representation, algebraic geometry, and the simultaneous stabilization problem

Fractional representation, algebraic geometry, and the simultaneous stabilization problem

An explicit relationship between the fractional representation approach feedback system design and the algebro-geometric approach to system theory, is formulated and used to derive a global solution to the feedback system problem. These techniques are then applied to the simultaneous stabilization p...

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Veröffentlicht in:IEEE transactions on automatic control 1982-08, Vol.27 (4), p.895-903
Hauptverfasser: Saeks, R., Murray, J.
Format: Artikel
Sprache:eng
Schlagworte:
Airplanes
Control systems
Control theory
Electric motors
Feedback
Geometry
Linear systems
Robustness
Rockets
Testing
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Zusammenfassung:An explicit relationship between the fractional representation approach feedback system design and the algebro-geometric approach to system theory, is formulated and used to derive a global solution to the feedback system problem. These techniques are then applied to the simultaneous stabilization problem, yielding a natural geometric criterion for a set of plants to be simultaneously stabilized by a single compensator.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.1982.1103005