Control to Facet by Piecewise-Affine Output Feedback

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...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2012-11, Vol.57 (11), p.2831-2843
Main Authors: Habets, L. C. G. J. M., Collins, P. J., van Schuppen, J. H.
Format: Article
Language:English
Subjects:
Applied sciences
Atmospheric modeling
Closed loop systems
Computer science
control theory
systems
Control system analysis
Control system synthesis
Control systems
Control theory. Systems
Controllers
Design engineering
Dynamics
Exact sciences and technology
Output feedback
piecewise-affine hybrid systems
Polytopes
State feedback
Subdivisions
Trajectory
Triangulation
triangulation of polytopes
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Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2012.2196401