Title :
State feedback design for rational nonlinear control systems with saturating inputs
Author :
Oliveira, M.Z. ; Gomes da Silva, J.M. ; Coutinho, Daniel
Author_Institution :
Dept. of Electr. Eng., UFRGS, Porto Alegre, Brazil
Abstract :
This paper focuses on the problem of designing stabilizing state feedback control laws for rational nonlinear systems subject to actuator saturation. The results are based on the differential-algebraic representation of rational systems and a generalized sector relation to address the saturation effects. From these elements, LMI based conditions are devised to compute a state feedback control law leading to a maximized ellipsoidal estimate of the region of attraction of the closed-loop system. Several numerical examples are provided to illustrate the potentialities of the technique.
Keywords :
control system synthesis; linear matrix inequalities; nonlinear control systems; stability; state feedback; LMI based conditions; actuator saturation; closed-loop system; differential-algebraic representation; generalized sector relation; maximized ellipsoidal estimate; rational nonlinear control systems; saturating inputs; state feedback control law; state feedback design; Actuators; Closed loop systems; Linear matrix inequalities; Lyapunov methods; Nonlinear systems; State feedback; Vectors;
Conference_Titel :
American Control Conference (ACC), 2012
Conference_Location :
Montreal, QC
Print_ISBN :
978-1-4577-1095-7
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2012.6315101
