Automatic adjustment of delay time and feedback gain in delayed feedback control of chaos

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Volumn E80-A, Issue 9, 1997, Pages 1554-1559

  Nakajima, Hiroyuki ^a,b   Ito, Hideo ^a   Ueda, Yoshisuke ^b  

^a KINKI UNIVERSITY   (Japan)

^b KYOTO UNIVERSITY   (Japan)

Author keywords

Chaos; Control; Delay time; Feedback; Gradient descent

Indexed keywords

CHAOS THEORY; MATHEMATICAL MODELS; NUMERICAL METHODS;

DELAYED FEEDBACK CONTROL (DFC); DUFFING EQUATIONS; GRADIENT DESCENT PROCEDURES; ROSSLER EQUATIONS;

FEEDBACK CONTROL;

EID: 0031224115     PISSN: 09168508     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. K. Pyragas, Continuous Control of Chaos by Self-controlling Feedback, Phys. Lett. A, vol.170, pp.421-428, 1992.
2. G. Chen, Control and Synchronization of Chaotic Systems, anonymous ftp: ftp.egr.uh.edu/pub/TeX/chaos. tex, 1996.
3. S. Bielawski, D. Derozier, and P. Glorieux, Controlling Unstable Periodic Orbits by a Delayed Continuous Feedback, Phys. Rev. E, vol.49, no.2, pp.R971-R974, 1994.
4. K. Pyragas and A. Tamasevicius, Experimental Control of Chaos by Delayed Self-controlling Feedback, Phys. Lett. A, vol.180, pp.99-102, 1993.
5. A. Namajūnas, K. Pyragas, and A. Tamasevicius, Stabilization of an Unstable Steady State in a Mackey-Glass System, Phys. Lett. A, vol.204, pp.255-262, 1995.
6. T. Hikihara and T. Kawagoshi, An Experimental Study on Stabilization of Unstable Periodic Motion in Magnetoelastic Chaos, Phys. Lett. A, vol.211, pp.29-36, 1996.
7. T. Ushio, Limitation of Delayed Feedback Control in Nonlinear Discrete-time Systems, IEEE Trans. CAS-I, vol.43, no.9, pp.815-816, 1996.
8. K. Pyragas, Control of Chaos via Extended Delay Feedback, Phys. Lett. A, vol.206, pp.323-330, 1995.
9. H. Nakajima and Y. Ueda, Automatic Adjustment of Feedback Gain in Controlling Chaos by Pyragas's Method, 1EICE Technical Report, NLP95-32, 1995. [10] H. Nakajima, On Analytical Properties of Delayed Feedback Control of Chaos, Phys. Lett. A, vol.232, no.3-4, pp.207-210, 1997.
10. K. Konishi and H. Kokame, Limitation of the Neurocontrol System for Chaotic Systems, IEICE Technical Report, NLP95-33, 1995.
11. K. Konishi and H. Kokame, Control of Chaotic Systems Using an On-Line Trained Linear Neural Controller, Physica D, vol.100, no.3-4, pp.423-438, 1997.
12. M.E. Bleich and J.E.S. Socolar, Stability of Periodic Orbits Controlled by Time-delay Feedback, Phys. Lett. A, vol.210, pp.87-94, 1996.
13. A. Kittel, J. Parisi, and K. Pyragas, Delayed Feedback Control of Chaos by Self-adapted Delay Time, Phys. Lett. A, vol.198, pp.433-436, 1995.
14. D. Vassiliadis, Parametric Adaptive Control and Parameter Identification of Low-dimensional Chaotic Systems, Physica, D, vol.71, pp.319-341, 1994.
15. S. Rajasekar and M. Lakshmanan, Algorithm for Controlling Chaotic Motion: Application for the BVP Oscillator, Physica, D, vol.67, pp.282-300, 1993.
16. H. Ito, Automatic Adjustment of Delay Time in Controlling Chaos by Delayed Feedback, Bachelor Thesis, Faculty of Engineering, Kyoto Univ., 1996.
17. T. Fujii, Learning and Controlling Chaos by Neural Networks, Master Thesis, Graduate School of Engineering, Kyoto Univ., 1996.