Title :
Estimating the Region of Attraction of Nonlinear Control Systems with Saturating Actuators
Author :
Coutinho, D.F. ; Silva, J. M Gomes da, Jr.
Author_Institution :
PUCRS, Porto Alegre
Abstract :
This paper focus on the problem of estimating the region of attraction of nonlinear control systems that can be put in a rational algebraic-differential form. The estimates are computed by means of invariant domains associated to rational Lyapunov functions. The saturation effects are taken into account by the use of a generalized sector condition for deadzone nonlinearities. These ingredients lead to the formulation of an LMI-optimization problem for computing regions of stability for the closed-loop system.
Keywords :
Lyapunov methods; actuators; closed loop systems; differential algebraic equations; linear matrix inequalities; nonlinear control systems; optimisation; stability; LMI optimization; closed-loop system stability; deadzone nonlinearity; linear matrix inequalities; nonlinear control system; rational Lyapunov function; rational algebraic-differential form; saturating actuator; Actuators; Asymptotic stability; Automatic control; Control systems; Linear systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Open loop systems; Stability analysis;
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.2007.4282430
