Title :
Chronological calculus based techniques for solving stabilization problems
Author :
Voytsekhovsky, Dmitry
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;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282172
