Synchronisation of chaotic systems via reduced observers
Synchronisation of chaotic systems via reduced observers
- Author(s): G. Zheng and D. Boutat
- DOI: 10.1049/iet-cta.2010.0078
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- Author(s): G. Zheng 1 and D. Boutat 2
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View affiliations
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Affiliations:
1: Project ALIEN, INRIA Lille-Nord Europe, Villeneuve d'Ascq, France
2: Project ALIEN, ENSI de Bourges PRISME, Bourges, France
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Affiliations:
1: Project ALIEN, INRIA Lille-Nord Europe, Villeneuve d'Ascq, France
- Source:
Volume 5, Issue 2,
20 January 2011,
p.
308 – 314
DOI: 10.1049/iet-cta.2010.0078 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Published
This study treats synchronisation problem of chaotic systems from a novel point of view, by using a change of coordinates to transform chaotic systems into a common canonical form, for which the synchronisation problem can be easily studied via reduced observer. Sufficient and necessary conditions are given and the proposed method is illustrated by the synchronisation of Rössler chaotic system.
Inspec keywords: reduced order systems; observers; synchronisation; nonlinear control systems; chaos
Other keywords:
Subjects: Nonlinear control systems; Simulation, modelling and identification
References
-
-
1)
- R. Abraham , J.E. Marsden . (1966) Foundation of mechanics.
-
2)
- V. Sundarpandian . Reduced order observer design for nonlinear systems. Appl. Math. Lett. , 9 , 936 - 941
-
3)
- Haddad, W.M., Bernstein, D.S.: `Optimal reduced-order observer-estimators', Proc. 28th IEEE Conf. on Decision and Control, 1989.
-
4)
- D. Noh , N.H. Jo , J.H. Seo . Nonlinear observer design by dynamic observer error linearization. IEEE Trans. Autom. Control , 10 , 1746 - 1750
-
5)
- G. Zheng , D. Boutat , J.-P. Barbot . Multi-output dependent observability normal form. J. Nonlinear Anal. Ser. A: Theory, Methods Appl. , 1 , 404 - 418
-
6)
- X.H. Xia , W.B. Gao . Nonlinear observer design by observer error linearization. SIAM J. Control Optim. , 1 , 199 - 216
-
7)
- F. Chen , W. Zhang . Lmi criteria for robust chaos synchronization of a class of chaotic systems. Nonlinear Anal.: Theory, Methods Appl. , 12 , 3384 - 3393
-
8)
- A.J. Krener , A. Isidori . Linearization by output injection and nonlinear observers. Syst. Control Lett. , 1 , 47 - 52
-
9)
- D. Karagiannis , D. Carnevale , A. Astolfi . Invariant manifold based reduced-order observer design for nonlinear system. IEEE Trans. Autom. Control , 11 , 2602 - 2614
-
10)
- L.M. Pecora , T.L. Carroll . Synchronisation in chaotic systems. Phys. Rev. Lett. , 8 , 821 - 824
-
11)
- H. Sira-Ramirez , C. Cruz-Hernandez . Synchronization of chaotic systems: a generalized hamiltonian approach. Int. J. Bifurcation Chaos , 5 , 1381 - 1395
-
12)
- A. Fradkov , H. Nijmeijer , A. Markov . Adaptive observer-based synchronization for communication. Int. J. Bifurcation Chaos , 2807 - 2813
-
13)
- D. Bestle , M. Zeitz . Canonical form observer design for non-linear time-variable systems. Int. J. Control , 2 , 419 - 431
-
14)
- G. Zheng , D. Boutat , T. Floquet , J.-P. Barbot . Secure data transmission based-on multi-input multi-output delayed chaotic system. Int. J. Bifurcation Chaos , 7 , 2063 - 2072
-
15)
- H. Sira-Ramirez , M. Fliess . An algebraic state estimation approach for the recovery of chaotically encrypted messages. Int. J. Bifurc. Chaos , 2 , 295 - 309
-
16)
- D. Leunberger . An introduction to the observers. IEEE Trans. Autom. Control , 6 , 596 - 602
-
17)
- W. Respondek , A. Pogromsky , H. Nijmeijer . Time scaling for observer design with linearizable error dynamics. Automatica , 2 , 277 - 285
-
18)
- H. Huijberts , T. Lilge , H. Nijmeijer . Nonlinear discrete-time synchronization via extended observers. Int. J. Bifurcation Chaos , 7 , 1997 - 2006
-
19)
- M. Xu . Reduced-order observer design for one-sided lipschitz nonlinear systems. IMA J. Math. Control Inf. , 3 , 299 - 317
-
20)
- H. Nijmeijer , I.M.Y. Mareels . An observer looks at synchronization. IEEE Trans. Circuits Syst. I , 10 , 882 - 890
-
21)
- A.J. Krener , W. Respondek . Nonlinear observers with linearizable error dynamics. SIAM J. Control Optim. , 2 , 197 - 216
-
22)
- D. Boutat , A. Benali , H. Hammouri , K. Busawon . New algorithm for observer error linearization with a diffeomorphism on the outputs. Automatica , 2187 - 2193
-
23)
- G. Zheng , D. Boutat , J.-P. Barbot . Single output dependent observability normal form. SIAM J. Control Optim. , 6 , 2242 - 2255
-
24)
- Barbot, J.-P., Fliess, M., Floquet, T.: `An algebraic framework for the design of nonlinear observers with unknown inputs', IEEE Conf. on Decision and Control, 2007, p. 384–389.
-
1)
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