Control of piecewise-linear hybrid systems on simplices and rectangles

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

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

62 Citaten (Scopus)
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Samenvatting

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
Originele taal-2Engels
TitelHybrid Systems : Computation and Control ; Proceedings of the 4th International Workshop, HSCC 2001, Rome, Italy, March 28-30, 2001
RedacteurenM.D. Di Benedetto, A.L. Sangiovanni-Vincentelli
Plaats van productieBerlin
UitgeverijSpringer
Pagina's261-274
ISBN van geprinte versie3-540-41866-0
DOI's
StatusGepubliceerd - 2001

Publicatie series

NaamLecture Notes in Computer Science
Volume2034
ISSN van geprinte versie0302-9743

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