Abstract
This paper investigates the problem of output regulation of the Arneodo-Coullet chaotic system, which is one of the paradigms of the chaotic systems proposed by A. Arneodo, P. Coullet and C. Tresser (1981). Explicitly, state feedback control laws to regulate the output of the Arneodo-Coullet chaotic system have been derived so as to track the constant reference signals as well as to track periodic reference signals. The control laws are derived using the regulator equations of C.I. Byrnes and A. Isidori (1990), who solved the problem of output regulation of nonlinear systems involving neutrally stable exosystem dynamics. The output regulation of the Coullet chaotic system has important applications in Electrical and Communication Engineering. Numerical simulations are shown to verify the results.
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References
Francis, B.A., Wonham, W.M.: The internal model principle for linear multivariable regulators. J. Applied Math. Optim. 2, 170–194 (1975)
Byrnes, C.I., Isidori, A.: Output regulation of nonlinear systems. IEEE Trans. Automat. Control. 35, 131–140 (1990)
Carr, J.: Applications of Centre Manifold Theory. Springer, New York (1981)
Mahmoud, N.A., Khalil, H.K.: Asymptotic regulation of minimum phase nonlinear systems using output feedback. IEEE Trans. Automat. Control. 41, 1402–1412 (1996)
Fridman, E.: Output regulation of nonlinear control systems with delay. Systems & Control Lett. 50, 81–93 (2003)
Chen, Z., Huang, J.: Robust output regulation with nonlinear exosystems. Automatica 41, 1447–1454 (2005)
Chen, Z., Huang, J.: Global robust output regulation for output feedback systems. IEEE Trans. Automat. Control. 50, 117–121 (2005)
Liu, L., Huang, J.: Global robust output regulation of lower triangular systems with unknown control direction. Automatica 44, 1278–1284 (2008)
Immonen, E.: Practical output regulation for bounded linear infinite-dimensional state space systems. Automatica 43, 786–794 (2007)
Pavlov, A., Van de Wouw, N., Nijmeijer, H.: Global nonlinear output regulation: convergence based controller design. Automatica 43, 456–463 (2007)
Xi, Z., Ding, Z.: Global adaptive output regulation of a class of nonlinear systems with nonlinear exosystems. Automatica 43, 143–149 (2007)
Serrani, A., Isidori, A.: Global robust output regulation for a class of nonlinear systems. Systems & Control Lett. 39, 133–139 (2000)
Serrani, A., Isidori, A., Marconi, L.: Semiglobal output regulation for minimum phase systems. Int. J. Robust Nonlinear Contr. 10, 379–396 (2000)
Marconi, L., Isidori, A., Serrani, A.: Non-resonance conditions for uniform observability in the problem of nonlinear output regulation. Systems & Control Lett. 53, 281–298 (2004)
Arneodo, A., Coullet, P., Tresser, C.: Possible new strange attractors with spiral structure. Commun. Math. Phys., 573–579 (1981)
Ogata, K.: Modern Control Engineering. Prentice Hall, New Jersey (1997)
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Vaidyanathan, S. (2011). Output Regulation of Arneodo-Coullet Chaotic System. In: Meghanathan, N., Kaushik, B.K., Nagamalai, D. (eds) Advanced Computing. CCSIT 2011. Communications in Computer and Information Science, vol 133. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17881-8_10
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DOI: https://doi.org/10.1007/978-3-642-17881-8_10
Publisher Name: Springer, Berlin, Heidelberg
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