Title :
State feedback design for input-saturating nonlinear quadratic systems
Author :
Valmórbida, Giórgio ; Tarbouriech, Sophie ; Garcia, Germain
Author_Institution :
LAAS-CNRS, Univ. de Toulouse, Toulouse, France
Abstract :
This paper proposes a method to design stabilizing state feedback control laws for nonlinear quadratic systems subject to input saturation. Based on a quadratic Lyapunov function and a modified sector condition, synthesis conditions in a "quasi"-LMI form are stated in a regional (local) context. An LMI-based optimization problem is then derived for computing the state feedback gains maximizing the stability region of the closed-loop system.
Keywords :
Lyapunov methods; closed loop systems; control system synthesis; linear matrix inequalities; nonlinear control systems; optimisation; stability; state feedback; LMI-based optimization problem; closed-loop system; input saturation; modified sector condition; nonlinear quadratic system; quadratic Lyapunov function; stability; state feedback control law design; synthesis condition; Control system synthesis; Control systems; Design methodology; Lyapunov method; Nonlinear control systems; Nonlinear systems; Scholarships; Stability analysis; State feedback; Symmetric matrices;
Conference_Titel :
American Control Conference, 2009. ACC '09.
Conference_Location :
St. Louis, MO
Print_ISBN :
978-1-4244-4523-3
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2009.5160428
