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

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.

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.

IJCAS
July 2024

Vol. 22, No. 7, pp. 2055~2340

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