Control to facet by piecewise-affine output feedback

Luc Habets*, Pieter Collins, Jan H. van Schuppen

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review


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.
Original languageEnglish
Pages (from-to)2831-2843
Number of pages13
JournalIEEE Trans. Automatic Control
Issue number11
Publication statusPublished - 2012

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