A simple tracking control for Chua's circuit

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

Volumn 50, Issue 2, 2003, Pages 280-284

  Puebla, Hector ^a,b   Alvarez Ramirez, Jose ^a,b,c   Cervantes, Ilse ^a  

^a INSTITUTO POLITÉCNICO NACIONAL   (Mexico)

^b INSTITUTO MEXICANO DEL PETRÓLEO   (Mexico)

^c DEPARTAMENTO DE QUÍMICA   (Mexico)

Author keywords

Chua's circuit; Modeling error compensation; Tracking

Indexed keywords

CAPACITORS; CIRCUIT OSCILLATIONS; CLOSED LOOP CONTROL SYSTEMS; ELECTRIC CURRENTS; ELECTRIC POTENTIAL; ERROR COMPENSATION; LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; RESISTORS; ROBUSTNESS (CONTROL SYSTEMS); TWO TERM CONTROL SYSTEMS; UNCERTAIN SYSTEMS;

CHUA CIRCUIT; PLANT UNCERTAINTIES; TRACKING CONTROLLER; TRACKING ERROR;

NONLINEAR NETWORK ANALYSIS;

EID: 0037302431     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2002.808220     Document Type: Article

References (17)

1. G. Chen and X. Dong, From Chaos to Order: Methodologies, Perspectives and Applications. Singapore: World Scientific, 1998.
2. L. Chen and G. Chen, "Fuzzy predictive control of uncertain chaotic system using time series," Int. J. Bifurcation Chaos, vol. 9, no. 4, pp. 757-767, 1999.
3. Y.-Ch. Chang, "A robust tracking control for chaotic Chua's circuits via fuzzy approach," IEEE Trans. Circuits Syst. I, vol. 48, pp. 889-895, July 2001.
4. M. J. Ogorzalek, "Timing chaos-Part II: Control," IEEE Trans. Circuits Syst. I, vol. 40, pp. 700-706, Oct. 1993.
5. K. Tanaka, T. Ikeda, and H. O. Wang, "A unified approach to control chaos via an LMI-based fuzzy control system design," IEEE Trans. Circuits Syst. I, vol. 45, pp. 1021-1040, Oct. 1998.
6. J. Xu, G. Chen, and L. S. Shieh, "Digital redesign for controlling the chaotic Chua's circuit," IEEE Trans. Aerosp. Electron. Syst., vol. 32, pp. 1488-1500, Oct. 1996.
7. J. J. D'Azzo and C. H. Houpis, Feedback Control Systems Analysis and Synthesis, 2nd ed. Tokyo, Japan: McGraw Hill, 1999.
8. L. A. B. Torres and L. A. Aguirre, "An extended chaos control method applied to Chua's circuit," Electron. Lett., vol. 35, pp. 768-770, 1999.
9. R. Femat, J. Capistran-Tobias, and G. Solis-Perales, "Laplace domain controllers for chaos control," Phys. Lett. A, vol. 252, pp. 27-36, 1999.
10. L. O. Chua, M. Komuro, and T. Matsumoto, "The double scroll family: I and II," IEEE Trans. Circuits Syst. I, vol. CAS-33, pp. 1072-1118, Nov. 1986.
11. C. A. Desoer and M. Vidyasagar, Feedback Systems: Input-Output Properties. New York: Academic, 1975.
12. G.-Q. Zhong, "Implementation of Chua's circuit with a cubic nonlinearity," IEEE Trans. Circuits Syst. I, vol. 41, pp. 934-941, Dec. 1994.
13. F. Esfandiari and H. K. Khalil, "Output feedback stabilization of fully linearizable systems," Int. J. Control, vol. 56, pp. 1007-1037, 1992.
14. A. Teel and L. Praly, "Tools for semiglobal stabilization by partial state and output feedback," SIAM J. Control Optim., vol. 33, no. 5, pp. 1443-1448, 1995.
15. H. Puebla and J. Alvarez-Ramirez, "Stability of inverse-system approaches in coherent chaotic communication," IEEE Trans. Circuits Syst. I, vol. 48, pp. 1413-1423, Dec. 2001.
16. J. C. Sprott, "A new class of chaotic circuit," Phys. Lett. A, vol. 266, pp. 19-23, 2000.
17. L. A. B. Torres and L. A. Aguirre, "Inductorless Chua's circuit," Electron. Lett., vol. 36, no. 23, pp. 1915-1916, 2000.