TY - GEN
T1 - Semi-global enlargement of domain of attraction for a class of affine nonlinear systems
AU - Hashemzadeh, Farzad
AU - Yazdanpanah, Mohammad J.
PY - 2007
Y1 - 2007
N2 - In this paper, a new approach to enlarge the domain of attraction of a nonlinear affine system based on Zubov Theorem is suggested. The affine systems which are studied in this paper some times have some constraints that coping with them are difficult. The proposed approach may alleviate these difficulties by introducing an extended controller design methodology. The controller can extend the domain of attraction as an n-dimensional ellipsoid in a way that the diameters of ellipsoid, may be used as the tuning factors for shaping and enlarging it as much as possible. In this approach, the ratios of diameters are not crucial. In other words, it is possible to stretch the domain of attraction along some directions and compress it along the others. The simulation results on the Van der Pole system and two case studies, namely, a vehicle dynamics and an inverted pendulum show the efficiency of the method.
AB - In this paper, a new approach to enlarge the domain of attraction of a nonlinear affine system based on Zubov Theorem is suggested. The affine systems which are studied in this paper some times have some constraints that coping with them are difficult. The proposed approach may alleviate these difficulties by introducing an extended controller design methodology. The controller can extend the domain of attraction as an n-dimensional ellipsoid in a way that the diameters of ellipsoid, may be used as the tuning factors for shaping and enlarging it as much as possible. In this approach, the ratios of diameters are not crucial. In other words, it is possible to stretch the domain of attraction along some directions and compress it along the others. The simulation results on the Van der Pole system and two case studies, namely, a vehicle dynamics and an inverted pendulum show the efficiency of the method.
UR - http://www.scopus.com/inward/record.url?scp=43049162911&partnerID=8YFLogxK
U2 - 10.1109/CCA.2006.286217
DO - 10.1109/CCA.2006.286217
M3 - Conference contribution
AN - SCOPUS:43049162911
SN - 0780397959
SN - 9780780397958
T3 - Proceedings of the IEEE International Conference on Control Applications
SP - 2257
EP - 2262
BT - Proceedings of the 2006 IEEE International Conference on Control Applications
T2 - Joint 2006 IEEE Conference on Control Applications (CCA), Computer-Aided Control Systems Design Symposium (CACSD) and International Symposium on Intelligent Control (ISIC)
Y2 - 4 October 2006 through 6 October 2006
ER -