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

By L.C.G.J.M. (Luc) Habets and J.H. (Jan) van Schuppen

Abstract

Given an affine system on a simplex, the problem of reaching a particular facet of the simplex, using affine state feedback is studied. Necessary 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 simplex. If these conditions are met, a constructive procedure yields an affine feedback control law, that solves this reachability problem

Publisher: CWI
Year: 2000
OAI identifier: oai:cwi.nl:4372

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