DocumentCode
3158986
Title
Chronological calculus based techniques for solving stabilization problems
Author
Voytsekhovsky, Dmitry
fYear
2007
fDate
9-13 July 2007
Firstpage
2376
Lastpage
2381
Abstract
In the paper we investigate stabilization of dynamical systems using additional controlled vector fields corresponding to Lie brackets of the vector fields at our disposal. We use discrete in time feedback controllers to generate additional control action. Results from chronological calculus are employed. The main issue addressed in the paper is control of a single input systems in the presence of so called "bad Lie brackets".
Keywords
Lie algebras; calculus; discrete time systems; feedback; nonlinear dynamical systems; stability; Lie brackets; chronological calculus based techniques; dynamical systems; stabilization problems; time feedback controllers; Adaptive control; Algebra; Calculus; Cities and towns; Control systems; Differential equations; Motion control; Nonlinear control systems; Open loop systems; Trajectory;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2007. ACC '07
Conference_Location
New York, NY
ISSN
0743-1619
Print_ISBN
1-4244-0988-8
Electronic_ISBN
0743-1619
Type
conf
DOI
10.1109/ACC.2007.4282172
Filename
4282172
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