Control of piecewise-linear hybrid systems on simplices and rectangles

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

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A necessary and sufficient condition for the reachability of a piecewise-linear hybrid system is formulated in terms of reachability of a finite-state discrete-event system and of a finite family of affine systems on a polyhedral set. As a subproblem, the reachability of an affine system on a polytope is considered, with the control objective of reaching a particular facet of the polytope. If the polytope is a simplex, necessary and sufficient conditions for the solvability of this problem by affine state feedback are described. If the polytope is a multi-dimensional rectangle, then a solution is obtained using continuous piecewise-affine state feedback
Original languageEnglish
Title of host publicationHybrid Systems : Computation and Control ; Proceedings of the 4th International Workshop, HSCC 2001, Rome, Italy, March 28-30, 2001
EditorsM.D. Di Benedetto, A.L. Sangiovanni-Vincentelli
Place of PublicationBerlin
ISBN (Print)3-540-41866-0
Publication statusPublished - 2001

Publication series

NameLecture Notes in Computer Science
ISSN (Print)0302-9743


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