DocumentCode
1511458
Title
Controlled invariance and feedback laws
Author
d´Alessandro, P. ; De Santis, E.
Author_Institution
Dept. of Math., Third Univ. of Rome, Rome, Italy
Volume
46
Issue
7
fYear
2001
fDate
7/1/2001 12:00:00 AM
Firstpage
1141
Lastpage
1146
Abstract
We consider controlled invariance for cones, translated cones, polyhedra and various special polyhedral structures. For any polyhedron, if controlled invariance occurs, then all and nothing but the admissible controls can be obtained by an inequative feedback controller. For each special polyhedral structure we compare this feedback controller against piecewise affine, linear and affine feedback controllers
Keywords
discrete time systems; invariance; linear systems; matrix algebra; state feedback; admissible controls; affine feedback controller; controlled invariance; feedback laws; linear controller; piecewise affine controller; polyhedra; polyhedral structures; translated cones; Adaptive control; Approximation algorithms; Control systems; Density functional theory; Equations; Feedback; Robust control; Stochastic processes; Time varying systems; Uncertainty;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.935072
Filename
935072
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