International Journal of Robust and Nonlinear Control

Research Article

Regulation and controlled synchronization for complex dynamical systems^†

Corresponding Author

H. J. C. Huijberts

[email protected]

Department of Engineering, Queen Mary and Westfield College, University of London, Mile End Road, London E1 4NS, U.K.

Department of Engineering, Queen Mary and Westfield College, University of London, Mile End Road, London E1 4NS, U.K.===Search for more papers by this author

H. Nijmeijer,

H. Nijmeijer

Faculty of Mathematical Sciences, University of Twente, P.O. Box 217, 7500 AE Enschede, Netherlands

Faculty of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, Netherlands

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R. M. A. Willems,

R. M. A. Willems

Statistics Netherlands, P.O. Box 4481, 6401 CZ Heerlen, Netherlands

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H. J. C. Huijberts,

Corresponding Author

H. J. C. Huijberts

[email protected]

Department of Engineering, Queen Mary and Westfield College, University of London, Mile End Road, London E1 4NS, U.K.

Department of Engineering, Queen Mary and Westfield College, University of London, Mile End Road, London E1 4NS, U.K.===Search for more papers by this author

H. Nijmeijer,

H. Nijmeijer

Faculty of Mathematical Sciences, University of Twente, P.O. Box 217, 7500 AE Enschede, Netherlands

Faculty of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, Netherlands

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R. M. A. Willems,

R. M. A. Willems

Statistics Netherlands, P.O. Box 4481, 6401 CZ Heerlen, Netherlands

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First published: 03 April 2000

https://doi.org/10.1002/(SICI)1099-1239(20000430)10:5<363::AID-RNC478>3.0.CO;2-Z

Citations: 23

^†

Research was mainly performed while the first and third author were with the Department of Mathematics and Computing Science, Eindhoven University of Technology

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Abstract

In this paper we investigate the problem of controlled synchronization as a regulator problem. In controlled synchronization one is given autonomous transmitter dynamics and controlled receiver dynamics. The question is to find a (output) feedback controller that achieves matching between transmitter and controlled receiver. Several variants of the problem where the standard solvability assumptions for the regulator problem are not met turn out to have a solution. Simulations on two standard synchronization examples are also included. Copyright © 2000 John Wiley & Sons, Ltd.

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Volume10, Issue5

Special Issue:Output Regulation for Nonlinear Systems

30 April 2000

Pages 363-377

Regulation and controlled synchronization for complex dynamical systems^†

Abstract

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Regulation and controlled synchronization for complex dynamical systems†

Abstract

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Regulation and controlled synchronization for complex dynamical systems^†