A control problem for affine dynamical systems on a full-dimensional polytope

L.C.G.J.M. Habets, J.H. Schuppen, van

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154 Citations (Scopus)
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Abstract

Given an affine system on a full-dimensional polytope, the problem of reaching a particular facet of the polytope, using continuous piecewise-affine state feedback is studied. Necessary conditions and sufficient conditions for the existence of a solution are derived in terms of linear inequalities on the input vectors at the vertices of the polytope. Special attention is paid to affine systems on full-dimensional simplices. In this case, the necessary and sufficient conditions are equivalent and a constructive procedure yields an affine feedback control law, that solves the reachability problem under consideration.
Original languageEnglish
Pages (from-to)21-35
JournalAutomatica
Volume40
Issue number1
DOIs
Publication statusPublished - 2004

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