Control to facet by piecewise-affine output feedback

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

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7 Citaten (Scopus)
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Samenvatting

The control-to-facet problem plays an important role in the design of feedback controllers for piecewise-affine hybrid systems on polytopes. In the literature, necessary conditions and sufficient conditions for solvability by static state feedback exist. In this paper, we extend these results to the case of continuous piecewise-affine static output feedback. For the construction of a controller, a triangulation of the output polytope is made which satisfies additional conditions to guarantee compatibility with the induced subdivision of the state polytope. In the state feedback case, the use of this special type of triangulation is not required.
Originele taal-2Engels
Pagina's (van-tot)2831-2843
Aantal pagina's13
TijdschriftIEEE Transactions on Automatic Control
Volume57
Nummer van het tijdschrift11
DOI's
StatusGepubliceerd - 2012

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