Control to Facet by Piecewise-Affine Output Feedback

Author

Habets, Luc C G J M ; Collins, Pieter J. ; Van Schuppen, Jan H.

Author_Institution

Dept. of Math. & Comput. Sci., Tech. Univ. Eindhoven, Eindhoven, Netherlands

Volume

57

Issue

11

fYear

2012

Firstpage

2831

Lastpage

2843

Abstract

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.

Keywords

control system synthesis; state feedback; continuous piecewise-affine static output feedback; control-to-facet problem; feedback controller design; necessary conditions; output polytope; piecewise-affine hybrid systems; piecewise-affine output feedback; polytopes; state polytope; static state feedback; sufficient conditions; triangulation; Atmospheric modeling; Closed loop systems; Dynamics; Output feedback; State feedback; Trajectory; Control system synthesis; output feedback; piecewise-affine hybrid systems; triangulation of polytopes;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2012.2196401

Filename

6189744