Premium
Arbitrary Pole Assignability by Static Output Feedback under Structural Contraints
Author(s) -
Reinschke K. J.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310249
Subject(s) - hypersurface , quadric , mathematics , algebraic number , variety (cybernetics) , projective space , full state feedback , algebra over a field , space (punctuation) , algebraic variety , pure mathematics , algebraic geometry , output feedback , control theory (sociology) , nonlinear system , projective test , mathematical analysis , computer science , control (management) , statistics , artificial intelligence , physics , quantum mechanics , operating system
Using a few elementary concepts from algebraic geometry such as multidimensional projective space, quadric hypersurface and its tangential variety, the known problem of arbitrary pole placement is transformed into a system of well‐structured (partly non‐linear) algebraic equations. Necessary and sufficient solvability conditions are derived. Finally, it is outlined how to calculate admissible output feedback matrices which ensure the desired pole assignment.