DocumentCode
2974623
Title
Local feedback structures and nilpotent approximations
Author
Hermes, Henry
Author_Institution
Dept. of Math., Colorado Univ., Boulder, CO, USA
fYear
1988
fDate
7-9 Dec 1988
Firstpage
1239
Abstract
A precise definition of when two control systems have equivalent local time-optimal feedback structures (LTOFS) is given. As expected, feedback equivalence implies equivalent LTOFS, but the latter is definitely a weaker equivalence. The resulting equivalence classes for low-dimensional affine systems are studied, and canonical representatives are given for systems of dimensions two and three. Results and questions concerning the LTOFS equivalence of an affine system and a nilpotent approximation of the system are included
Keywords
feedback; multidimensional systems; optimal control; affine system; equivalent local time-optimal feedback structures; multidimensional systems; nilpotent approximations; time-optimal control; Boundary value problems; Control system synthesis; Control systems; Control theory; Feedback control; Linear feedback control systems; Linear systems; Mathematics; Open loop systems; Optimal control;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location
Austin, TX
Type
conf
DOI
10.1109/CDC.1988.194519
Filename
194519
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