Title :
A simple proof of finite-time stabilizability of without drift systems by discontinuous feedback laws
Author_Institution :
Dept. de Math., Fac. des Sci. de Bizerte, Bizerte, Tunisia
Abstract :
In this paper, we give a construction of discontinuous feedback laws stabilizing in finite-time all without drift systems. Our construction is based on “sampling control” defined by Clarke et al. [6] and on Bhat and Bernstein feedback laws for cascaded structures [3]. Moreover, our construction are extended to another family of systems as satellite with two controllers when stabilizability by pure discontinuous feedback laws fails.
Keywords :
cascade control; feedback; sampled data systems; stability; Bernstein feedback laws; Bhat feedback laws; cascaded structures; discontinuous feedback laws; drift systems; finite-time stabilizability; sampling control; Asymptotic stability; Equations; Satellites; Stability analysis; State feedback; Trajectory;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6760062
