Synchronization of chaotic systems based on SDRE method

作者: A. Jayaram , M. Tadi

DOI: 10.1016/J.CHAOS.2005.04.117

关键词: PointwiseNonlinear systemMathematicsChaotic systemsControllabilityRiccati equationSynchronizationControl theoryObservabilityTrajectoryGeneral Mathematics

摘要: Abstract This paper is concerned with the synchoronization of nonlinear systems using feedback control laws based on state-dependent Riccati equation (SDRE). The method requires only partial observation states. It pointwise observability and controllability along trajectory which can be checked. general applied to various provided that conditions are satisfied.

参考文章(16)
John B. Moore, Brian D. O. Anderson, Optimal Control: Linear Quadratic Methods ,(1979)
Peter Smereka, Synchronization and relaxation for a class of globally coupled Hamiltonian systems Physica D: Nonlinear Phenomena. ,vol. 124, pp. 104- 125 ,(1998) , 10.1016/S0167-2789(98)00178-X
P.E. Rapp, A.I. Mees, C.T. Sparrow, Frequency encoded biochemical regulation is more accurate than amplitude dependent control Journal of Theoretical Biology. ,vol. 90, pp. 531- 544 ,(1981) , 10.1016/0022-5193(81)90304-0
Kelly D Hammett, Christopher D Hall, D Brett Ridgely, None, Controllability Issues in Nonlinear State-Dependent Riccati Equation Control Journal of Guidance, Control, and Dynamics. ,vol. 21, pp. 767- 773 ,(1998) , 10.2514/2.4304
AS Hegazi, HN Agiza, MM El-Dessoky, None, ADAPTIVE SYNCHRONIZATION FOR RÖSSLER AND CHUA'S CIRCUIT SYSTEMS International Journal of Bifurcation and Chaos. ,vol. 12, pp. 1579- 1597 ,(2002) , 10.1142/S0218127402005388
MING-JYI JANG, CHIEH-LI CHEN, CHA'O-KUANG CHEN, SLIDING MODE CONTROL OF CHAOS IN THE CUBIC CHUA'S CIRCUIT SYSTEM International Journal of Bifurcation and Chaos. ,vol. 12, pp. 1437- 1449 ,(2002) , 10.1142/S0218127402005248
Walter J. Freeman, The Physiology of Perception Scientific American. ,vol. 264, pp. 78- 85 ,(1991) , 10.1038/SCIENTIFICAMERICAN0291-78
GUANRONG CHEN, XIAONING DONG, From Chaos to Order - Perspectives and Methodologies in Controlling Chaotic Nonlinear Dynamical Systems International Journal of Bifurcation and Chaos. ,vol. 03, pp. 1363- 1409 ,(1993) , 10.1142/S0218127493001112
Andreas Wernli, Gerald Cook, Suboptimal control for the nonlinear quadratic regulator problem Automatica. ,vol. 11, pp. 75- 84 ,(1975) , 10.1016/0005-1098(75)90010-2