Identification and control of unknown chaotic systems via dynamic neural networks

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 46, Issue 12, 1999, Pages 1491-1495

  Poznyak, A S ^a   Wen, Yu ^a   Sanchez, E N ^a  

^a DEPARTAMENTO DE FÍSICA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; DIFFERENTIAL EQUATIONS; IDENTIFICATION (CONTROL SYSTEMS); LYAPUNOV METHODS; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS; PIECEWISE LINEAR TECHNIQUES; SYSTEM STABILITY;

CHAOTIC DYNAMICAL SYSTEMS; CHUAS CIRCUIT; DUFFING EQUATION; LORENZ SYSTEM; NEUROIDENTIFIER; SLIDING MODE TECHNIQUE;

NEURAL NETWORKS;

EID: 0033320023     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.809552     Document Type: Article

References (11)

1. Regression and the Moore-Penrose Pseudoinverse. New York: Academic, 1972.
2. G. Chen and X. DongIdentification and control of chaotic systemsProc. IEEE Int. Symp. Circuits Systems, Seattle, WA, 1995.
3. J. A. GallegosNonlinear regulation of a Lorenz system by feedback linearization techniquesDynamic Contr., vol. 4, 277-298, 1994.
4. G. K. Kel'mans, A. S. Poznyak, and A. V. ChernitserAdaptive locally optimal controlInt. J. Syst. Sci., vol. 12, 235-254, 1981.
5. H. Nijmeijer and H. BerghuisOn Lyapunov control of the Duffing equationIEEE Trans. Circuits Syst., vol. 42, 473-477, Aug. 1995.
6. A. S. Poznyak, W. Yu, H. S. Ramirez, and E. N. SanchezRobust identification by dynamic neural networks using sliding mode learningAMath. Comput. Sci. , vol. 8, 101-110, 1998.
7. G. A. Rovithakis and M. A. ChristodoulouAdaptive control of unknown plants using dynamical neural networksIEEE Trans. Syst., Man Cybern., vol. 24, no. 3, pp 400-412, 1994.
8. V. I. Utkin, Sliding Modes in Optimization and Control. Berlin, Germany: Springer-Verlag, 1992.
9. T. H. Yeap and N. U. AhmedFeedback control of chaotic systemsDynamic Contr., vol. 4, 97-114, 1994.
10. Y. Zeng and S. N. SinghAdaptive control cf Chaos in Lorenz systemDynamic Contr., vol. 7, 143-154, 1997.
11. J. C. WillemsLeast squares optimal control and algebraic Riccati equationsIEEE Trans. Automat. Contr., vol. 16, no. 6, 621-634, 1971.