Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz, Iran
Abstract
In this paper, a new method based on Zubov theorem is proposed to enlarge the domain of attraction for a class of affine nonlinear systems. The proposed controller provides the ability to stretch the domain of attraction of affine nonlinear system in any desired dimension of state space. Not only that but the controller makes it possible to stretch the domain of attraction along some directions and compress it along others. Also the proposed approach reduces some constraints of the previous works and is capable to be applied to the larger class of affine nonlinear dynamic system. These constraints are based on the fact that the controller value must be bounded. The Simulation results on the Van der pol system and a three-dimensional system, demonstrate the efficiency of the proposed method.
Yadipour, M., Hashemzadeh, F., Baradarannia, M., & Badamchizadeh, M. A. (2017). Enlarging Domain of Attraction for Affine Nonlinear Systems. TABRIZ JOURNAL OF ELECTRICAL ENGINEERING, 47(2), 785-790.
MLA
M. Yadipour; F. Hashemzadeh; M. Baradarannia; M. A. Badamchizadeh. "Enlarging Domain of Attraction for Affine Nonlinear Systems". TABRIZ JOURNAL OF ELECTRICAL ENGINEERING, 47, 2, 2017, 785-790.
HARVARD
Yadipour, M., Hashemzadeh, F., Baradarannia, M., Badamchizadeh, M. A. (2017). 'Enlarging Domain of Attraction for Affine Nonlinear Systems', TABRIZ JOURNAL OF ELECTRICAL ENGINEERING, 47(2), pp. 785-790.
VANCOUVER
Yadipour, M., Hashemzadeh, F., Baradarannia, M., Badamchizadeh, M. A. Enlarging Domain of Attraction for Affine Nonlinear Systems. TABRIZ JOURNAL OF ELECTRICAL ENGINEERING, 2017; 47(2): 785-790.
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