Controller design to enlarge the domain of attraction for a class of nonlinear systems

Yadipour M., Hashemzadeh F., Baradarannia M.

2017 International Conference on Research and Education in Mechatronics, REM 2017, Wolfenbuettel, Germany, 14 - 15 September 2017 identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1109/rem.2017.8075242
  • City: Wolfenbuettel
  • Country: Germany
  • Keywords: Domain of Attraction, Mechatronic, Nonlinear Systems, Stabilizable, Zubov Theorem
  • Istanbul Technical University Affiliated: No


Estimation and enlarging the domain of attraction of nonlinear systems is one of the difficult and important challenges in the control of dynamical systems. This case efficiently influences the performance and reliability of controlled nonlinear mechatronic systems. In this paper a wide range of affine nonlinear systems has been considered and based on Zubov Theorem, a controller has been designed in which choosing suitable coefficients for the Lyapunov function stabilizes and enlarges the domain of attraction of closed loop system. The proposed method has been simulated on Van der Pol oscillator and on a non-globally stabilizable system to show the efficiency of the method.