Adaptive synchronization of chaotic systems based on speed gradient method and passification

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

Volumn 44, Issue 10, 1997, Pages 905-912

  Fradkov, Alexander L ^a   Markov, A Yu ^a  

^a INSTITUTE OF PROBLEMS OF MECHANICAL ENGINEERING   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; ALGORITHMS; CHAOS THEORY; COMPUTER SIMULATION; ERROR ANALYSIS; FEEDBACK; PARAMETER ESTIMATION; SYNCHRONIZATION;

PASSIFICATION; SPEED GRADIENT METHOD;

NONLINEAR CONTROL SYSTEMS;

EID: 0031259304     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.633879     Document Type: Article

References (19)

1. A. L. Fradkov and A. Yu. Pogromsky, "Methods of nonlinear and adaptive control of chaotic systems," in Proc. 13th IFAC World Cong., San Francisco, CA, 1996, vol. K, pp. 185-190.
2. G. Chen and X. Dong, "From chaos to order-perspectives and methodologies in controlling chaotic nonlinear systems," Int. J. Bifurc. Chaos, vol. 3, no. 6, pp. 1363-1409, 1993.
3. V. Y. Kislov, "Dynamical chaos and its applications in radio physics for generation, transmission and processing signals and information," Survey. J. Commun. Technol. Electron., vol. 38, no. 16, pp. 82-109, 1993.
4. A. L. Fradkov, "Nonlinear adaptive control: Regulation-trackingoscillations," in Proc. IFAC Workshop, "New trends in design of control systems," Smolenice, 1994, pp. 426-431.
5. A. L. Fradkov, A. Yu. Pogromsky, and A. Yu. Markov, "Adaptive control of chaotic continuous-time systems," in Proc. 3rd Europ. Contr. Conf., 1995, pp. 3062-3066.
6. A. L. Fradkov, "Adaptive synchronization of hyper-minimum-phase systems with nonlinearities," in Proc. 3rd IEEE Mediterranean Symp. New Directions in Contr. Limassol, 1995, vol. 1, pp. 212-211.
7. A. Yu. Markov and A. L. Fradkov, "Adaptive synchronization of coupled chaotic systems," Conf. Chaos and Fractals in Chem. Eng., Rome, Italy, 1996.
8. A. L. Fradkov, Adaptive Control of Complex Systems. Moscow, Russia: Nauka (in Russian), 1990.
9. A. Yu. Markov, A. L. Fradkov, and G. S. Simin, "Adaptive synchronization of chaotic systems, based on tunnel diodes," in Proc. 35th IEEE Conf. Decision Contr., Kobe, Japan, Dec. 1996, pp. 2177-2182.
10. L. Kocarev, K. S. Halle, K. Eckert, and L. O. Chua, "Experimental demonstration of secure communication via chaotic synchronization," Int. J. Bifurc. Chaos, vol. 2, no. 3, pp. 709-713, 1992.
11. H. Dedieu, M. P. Kennedy, and M. Hasler, "Chaos shift keying: Modulation and demodulation of chaotic carrier using self-synchronized Chua's circuits," IEEE Trans. Circuits Syst. II, vol. 40, pp. 634-642, Oct. 1993.
12. I. Blekhman, A. Fradkov, H. Nijmeijer, and A. Pogromsky, "Selfsynchronization and controlled synchronization of dynamical systems," in Proc. 4th Europ. Contr. Conf., Brussels, 1997.
13. L. Pecora and T. Carroll, "Synchronization in chaotic systems," Phys. Rev. Lett., vol. 64, pp. 821-824, 1990.
14. B. Huberman and E. Lumer, "Dynamics of adaptive systems," IEEE Trans. Circuits Syst. I, vol. 37, pp. 547-550, 1990.
15. W. C. Y. Yang and L. Chua, "On adaptive synchronization and control of nonlinear dynamical systems," Int. J. Bifurc. Chaos, vol. 6, pp. 455-471, 1996.
16. A. L. Fradkov and A. Yu. Pogromsky, "Speed-gradient control of chaotic continuous-time systems," IEEE Trans. Circuits Syst. I, vol. 43, pp. 907-913, Nov. 1996.
17. A. Yu. Pogromsky, A. L. Fradkov, and D. J. Hill, "Passivity based damping of power system oscillations," in Proc. 35th IEEE Conf. Decision Contr., Kobe, Japan, Dec. 11-13, 1996, pp. 3876-3881.
18. H. Nijmeijer and H. Berghuis, "On Lyapunov control of Duffing equation," IEEE Trans. Circuits Syst. I, vol. 42, pp. 473-477, 1995.
19. M. M. Seron, D. I. Hill, and A. L. Fradkov, "Adaptive passification of nonlinear systems," in Proc. 33rd IEEE Conf. Decision Contr., Lake Buena Vista, FL, Dec. 1994, pp. 190-195.