Technical Notes and Correspondence
International Journal of Control, Automation and Systems 2010; 8(5): 1153-1158
Published online October 28, 2010
https://doi.org/10.1007/s12555-010-0525-9
© The International Journal of Control, Automation, and Systems
A Global Asymptotic Synchronization Problem via Internal Model Approach
In this paper, we study the global robust synchronization problem of the controlled Duffing system and the van der Pol oscillator. By employing the internal model approach, we first convert the problem into a global robust stabilization problem of a time-varying nonlinear system in the lower triangular form. Then we show that the global robust stabilization problem of the lower triangular system is solvable, thus leading to the solution of the global robust synchronization problem.
Keywords Chaos, Lyapunov methods, nonlinear systems, output regulation.
PDF
Standard view
Export citation
Share Article
Technical Notes and Correspondence
International Journal of Control, Automation and Systems 2010; 8(5): 1153-1158
Published online October 1, 2010 https://doi.org/10.1007/s12555-010-0525-9
Copyright © The International Journal of Control, Automation, and Systems.
A Global Asymptotic Synchronization Problem via Internal Model Approach
Wei-Jie Sun
South China University of Technology, China
Abstract
In this paper, we study the global robust synchronization problem of the controlled Duffing system and the van der Pol oscillator. By employing the internal model approach, we first convert the problem into a global robust stabilization problem of a time-varying nonlinear system in the lower triangular form. Then we show that the global robust stabilization problem of the lower triangular system is solvable, thus leading to the solution of the global robust synchronization problem.
Keywords: Chaos, Lyapunov methods, nonlinear systems, output regulation.
Vol. 23, No. 3, pp. 683~972
Stats or Metrics
Share this article on
Related articles in IJCAS
-
A Data-driven Koopman Modeling Framework With Application to Soft Robots
Lvpeng Han, Kerui Peng, Wangxing Chen, and Zhaobing Liu*
International Journal of Control, Automation, and Systems 2025; 23(1): 249-261 -
Global Non-fragile Finite-time Stabilization Based on Switching Control Strategy for Nonlinear Systems With Output Uncertainty
Chenguang Wu* and Yanjun Shen
International Journal of Control, Automation, and Systems 2025; 23(1): 162-174 -
Improved Data-driven Adaptive Control Structure Against Input and Output Saturation
Yasin Asadi*, Malihe Maghfouri Farsangi, and Mohammad Hadi Rezaei
International Journal of Control, Automation, and Systems 2024; 22(10): 2981-2989
