Title :
Stability analysis for systems with nested backlash and saturation operators
Author :
Tarbouriech, Sophie ; Prieur, Christophe
Author_Institution :
Univ. of Toulouse, Toulouse
Abstract :
This paper is concerned with the problem of stability analysis for a certain class of nonlinear systems resulting from nested backlash and saturation operators. Constructive conditions based on LMIs, to ensure the local or global stability of the system, are proposed by using some suitable Lyapunov functional, generalized sector conditions and polytopic representation. The associated set of all the equilibrium points is precisely defined.
Keywords :
Lyapunov methods; control system analysis; linear matrix inequalities; nonlinear systems; stability; LMI; Lyapunov functional; generalized sector condition; global stability; local stability; nested backlash systems; nonlinear systems; polytopic representation; saturation operators; stability analysis; Actuators; Control systems; Convergence; Nonlinear control systems; Nonlinear systems; Stability analysis; Symmetric matrices; USA Councils; LMI; Stability analysis; backlash; equilibrium points; saturation;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434327
