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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159 Citaten (Scopus)
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Samenvatting

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.
Originele taal-2Engels
Pagina's (van-tot)21-35
TijdschriftAutomatica
Volume40
Nummer van het tijdschrift1
DOI's
StatusGepubliceerd - 2004

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