The use of identified models in the control of a chaotic circuit

作者: L.A. Aguirre

DOI: 10.1109/ISCAS.1995.521426

关键词:

摘要: A number of control techniques require a model the system to be controlled. There are many ways estimating models from data obtained form system. One way is fit nonlinear polynomials with carefully chosen structure available. The in such have nice properties analytical tractability. This paper investigates usefulness problems which required. numerical examples discussed this use both monovariable and multivariable discrete Chua's double scroll. results suggest that especially well suited for problems.

参考文章(14)
M. Casdagli, J. Theiler, J. Gibson, S. Eubank, N. Hunter, J.D. Farmer, D. Des Jardins, Nonlinear modeling of chaotic time series: Theory and applications Presented at the Electric Power Research Institute (EPRI) Workshop on Applications of Chaos. ,(1990)
LUIS ANTONIO AGUIRRE, S.A. BILLINGS, RETRIEVING DYNAMICAL INVARIANTS FROM CHAOTIC DATA USING NARMAX MODELS International Journal of Bifurcation and Chaos. ,vol. 05, pp. 449- 474 ,(1995) , 10.1142/S0218127495000363
HERVÉ DEDIEU, MACIEJ OGORZAŁEK, CONTROLLING CHAOS IN CHUA’S CIRCUIT VIA SAMPLED INPUTS International Journal of Bifurcation and Chaos. ,vol. 4, pp. 447- 455 ,(1994) , 10.1142/S0218127494000307
D. P. STOTEN, A. J. L. HARRISON, Generation of discrete and continuous time transfer function coefficients International Journal of Control. ,vol. 59, pp. 1159- 1172 ,(1994) , 10.1080/00207179408923125
PETER GRASSBERGER, THOMAS SCHREIBER, CARSTEN SCHAFFRATH, NONLINEAR TIME SEQUENCE ANALYSIS International Journal of Bifurcation and Chaos. ,vol. 01, pp. 521- 547 ,(1991) , 10.1142/S0218127491000403
L.A. Aguirre, Open-loop model matching in frequency domain Electronics Letters. ,vol. 28, pp. 484- 485 ,(1992) , 10.1049/EL:19920305
S. A. Billings, S. Chen, M. J. Korenberg, Identification of MIMO non-linear systems using a forward-regression orthogonal estimator International Journal of Control. ,vol. 49, pp. 2157- 2189 ,(1989) , 10.1080/00207178908559767
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
TOM T. HARTLEY, FARAMARZ MOSSAYEBI, CONTROL OF CHUA'S CIRCUIT Journal of Circuits, Systems, and Computers. ,vol. 03, pp. 173- 194 ,(1993) , 10.1142/S0218126693000137
M.J. Ogorzalek, Taming chaos. I. Synchronization IEEE Transactions on Circuits and Systems I-regular Papers. ,vol. 40, pp. 693- 699 ,(1993) , 10.1109/81.246145