Reach control on simplices by continuous state feedback

Authors:
Mireille E. Broucke
Affiliations:
Dept. of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

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Abstract

This paper studies a theoretical problem of whether continuous state feedback and affine feedback are equivalent from the point of view of making an affine system defined on a simplex reach a prespecified facet in finite time. We show that the two classes of feedbacks are equivalent. As a byproduct, new necessary and sufficient conditions for solvability based more directly on the problem data are obtained.