Adaptive observer-based synchronisation of chaotic systems in presence of information constraints

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 1, Issue PART 1, 2006, Pages 269-274

  Fradkov, Alexander L ^a   Andrievsky, Boris ^a   Evans, Robin J ^b  

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

^b UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Adaptive observer; Chaotic behavior; Hybrid control; Information constraints

Indexed keywords

CHAOTIC SYSTEMS; TRANSMISSIONS;

ADAPTIVE OBSERVER; ADAPTIVE OBSERVER SCHEME; ADAPTIVE STATE ESTIMATION; CHAOTIC BEHAVIORS; CHAOTIC SYNCHRONISATION; HYBRID CONTROLS; INFORMATION CONSTRAINTS; MESSAGE TRANSMISSIONS;

CLOSED LOOP SYSTEMS;

EID: 79960986390     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20060628-3-fr-3903.00047     Document Type: Conference Paper

References (25)

1. Andrievsky, B. R. (2002). Adaptive synchronization methods for signal transmission on chaotic carriers. Mathematics and Computers in Simulation 58 (4-6), 285-293.
2. Andrievsky, B. R. and A. L. Fradkov (2003). Control of chaos: I, methods. Autom. Rem. Contr. 64 (5), 673-713.
3. de Persis, C. (2005). n-bit stabilization of n-dimensional nonlinear systems in feedforward form. IEEE Tr. Aut. Contr. 50 (3), 299-311. (Pubitemid 40448582)
4. Dedieu, H., M. P. Kennedy and M. Hasler (1993). Chaos shift keying: modulation and demodulation of chaotic carrier using selfsynchronized chuas circuits. IEEE Tr. Circ. Syst. -II 40 (10), 634-642.
5. Efimov, D. V. and A. L. Fradkov (2006). Adaptive tuning to bifurcation for time-varying nonlinear systems. Automatica p. (in press).
6. Fradkov, A. L. (1974). Synthesis of an adaptive system for linear plant stabilization. Aut. Rem. Contr. 35 (12), 1960-1966.
7. Fradkov, A. L. (1979). Speed-gradient scheme and its applications in adaptive control. Aut. Rem. Contr. 40 (9), 1333-1342.
8. Fradkov, A. L. and A. Yu. Pogromsky (1998). Introduction to control of oscillations and chaos. World Scientific Publ.. Singapore.
9. Fradkov, A. L. and R. J. Evans (2005). Control of chaos: Methods and applications in engineering. Annual Reviews in Control 29(1), 33-56. (Pubitemid 40710089)
10. Fradkov, A. L. and S. M. Khryaschev (2005). How much control needs control of chaos. In: Proc. 5th EUROMECH Nonl. Dyn. Conf. (ENOC 2005). pp. 1295-1302.
11. Fradkov, A. L., B. Andrievsky and R. J. Evans (2005). Chaotic observer-based synchronization under information constraints. e-print ArXiv www.arxiv.org.
12. Fradkov, A. L., B. Andrievsky and R. J. Evans R. J. (2006). Adaptive observer-based synchronisation of chaotic systems in presence of information constraints. In: Prepr. 1st IFAC Conf. Anal. Contr. Chaotic Syst. "Chaos 06", Reims, France.
13. Fradkov, A. L., H. Nijmeijer and A. Y. Markov (2000). Adaptive observer-based synchronization for communication. Int. J. Bifurc. Chaos 10 (12), 2807-2813.
14. Khryashchev, S. M. (2004). Estimation of control time for systems with chaotic behavior: Part I. Autom. Rem. Contr. 64 (10), 1566-1579. (Pubitemid 39377093)
15. Liberzon, D. (2003). Hybrid feedback stabilization of systems with quantized signals. Automatica 39, 1543-1554.
16. Liberzon, D. and J. P. Hespanha (2005). Stabilization of nonlinear systems with limited information feedback. IEEE Tr. Aut. Contr. 50 (6), 910-915. (Pubitemid 40902722)
17. Liu, J. and N. Elia (2004). Quqqantized feedback stabilization of non-linear affine systems. Int. J. Contr. 77 (3), 239-249.
18. Matveev, A. S. and A. V. Savkin (2004). An analogue of shannon information theory for networked control systems: State estimation via a noisy discrete channel. In: Proc. 43rd IEEE Conf. Dec. Contr. Vol. 4. pp. 4485-4490. IEEE Press, Piscataway, NJ. (Pubitemid 40287112)
19. Nair, G. N. and R. J. Evans (2003). Exponential stabilisability of finite-dimensional linear systems with limited data rates. Automatica 39, 585-593.
20. Nair, G. N. and R. J. Evans (2004). Stabilizability of stochastic linear systems with finite feed-back data rates. SIAM J. Contr. Optim. 43 (2), 413-436.
21. Nair, G. N., R. J. Evans, I. M. Y. Mareels and W. Moran (2004). Topological feedback entropy and nonlinear stabilization. IEEE Tr. Aut. Contr. 49 (9), 1585-1597.
22. Nijmeijer, H. and I. M. Y. Mareels (1997). An observer looks at synchronization. IEEE Tr. Circ. Syst.-I 44 (10), 882-890. (Pubitemid 127768190)
23. Tatikonda, S. and S. Mitter (2004). Control under communication constraints. IEEE Tr. Aut. Contr. 49 (7), 1056-1068.
24. Wong, W. S. and R. W. Brockett (1997). Systems with finite communication bandwidth constraints - part I: State estimation problems. IEEE Tr. Aut. Contr. 42 (9), 1294-1299. (Pubitemid 127760904)
25. Wong, W. S. and R. W. Brockett (1999). Systems with finite communication bandwidth constraints - part II: Stabilization with limited information feedback. IEEE Tr. Aut. Contr. 44 (5), 1049-1053.