Title :
A condition of CLF existence for affine systems
Author_Institution :
Control of Complex Syst. Lab., Inst. of Problem of Mech. Eng., St. Petersburg, Russia
Abstract :
An equivalent condition of control Lyapunov function (CLF) existence is developed. The proposed condition summarizes the well known result of Sontag (1989) and passivity theorem of Byrnes, Isidory and Willems (1991). This condition also provides feedback equivalence to a passive system with not necessary well defined relative degree and normal form. An example of computer simulation completes the work.
Keywords :
Lyapunov methods; asymptotic stability; feedback; nonlinear dynamical systems; affine systems; asymptotic stability; control Lyapunov function existence; dynamic system nonlinear; feedback equivalence; normal form; passive system; relative degree; Asymptotic stability; Computer simulation; Control systems; Feedback; Laboratories; Lyapunov method; Mechanical engineering; Nonlinear dynamical systems; Notice of Violation; State-space methods;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184799
