Delayed feedback control based on the act-and-wait concept

Nonlinear Dynamics

Volumn 63, Issue 3, 2011, Pages 513-519

  Konishi, Keiji ^a   Kokame, Hideki ^a   Hara, Naoyuki ^a  

^a Osaka Prefecture University   (Japan)

Author keywords

Act and wait control; Chaos; Deadbeat control; Delayed feedback control

Indexed keywords

ACT-AND-WAIT CONTROL; CHAOS; CIRCUIT MODELS; DEADBEAT CONTROL; DELAYED FEEDBACK; DELAYED FEEDBACK CONTROL; DISCRETE TIME SYSTEM; FEEDBACK DELAY; NUMERICAL EXAMPLE; THEORETICAL RESULT;

DIGITAL CONTROL SYSTEMS; FEEDBACK CONTROL;

DISCRETE TIME CONTROL SYSTEMS;

EID: 79751538429     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-010-9819-y     Document Type: Article

References (40)

1. Scholl, E., Schuster, H.G.: Handbook of Chaos Control. Wiley, New York (2008)
2. K. Pyragas 1992 Continuous control of chaos by self-controlling feedback Phys. Lett. A 170 421 428 10.1016/0375-9601(92)90745-8
3. K. Pyragas 2006 Delayed feedback control of chaos Philos. Trans. R. Soc. A 364 2309 2334 1152.93477 10.1098/rsta.2006.1827 2251252 (Pubitemid 44328172)
4. K. Gu S.I. Niculescu 2003 Survey on recent results in the stability and control of time-delay systems J. Dyn. Syst., Meas. Control 125 158 165 10.1115/1.1569950
5. H. Nakajima 1997 On analytical properties of delayed feedback control of chaos Phys. Lett. A 232 207 210 1053.93509 10.1016/S0375-9601(97)00362-9 1469909 (Pubitemid 127378607)
6. W. Just 2000 On the eigenvalue spectrum for time-delayed Floquet problems Physica D 142 153 165 0964.34070 10.1016/S0167-2789(00)00051-8 1763101
7. B. Fiedler V. Flunkert M. Georgi P. Hövel E. Schöll 2007 Refuting the odd number limitation of time-delayed feedback control Phys. Rev. Lett. 98 114101 10.1103/PhysRevLett.98.114101 (Pubitemid 46434099)
8. C.M. Postlethwaite M. Silber 2007 Stabilizing unstable periodic orbits in the Lorenz equations using time-delayed feedback control Phys. Rev. E 76 056214 10.1103/PhysRevE.76.056214 2495373 (Pubitemid 350205868)
9. N. Vasegh A.K. Sedigh 2008 Delayed feedback control of time-delayed chaotic systems: Analytical approach at Hopf bifurcation Phys. Lett. A 372 5110 5114 10.1016/j.physleta.2008.06.023
10. Ding, Y., Jiang, W., Wang, H.: Delayed feedback control and bifurcation analysis of Rossler chaotic system. Nonlinear Dyn. (in press). doi: 10.1007/s11071-010-9681-y
11. K. Pyragas V. Pyragas I.Z. Kiss J.L. Hudson 2004 Adaptive control of unknown unstable steady states of dynamical systems Phys. Rev. E 70 026215 10.1103/PhysRevE.70.026215
12. A. Chang J.C. Bienfang G.M. Hall J.R. Gardner D.J. Gauthier 1998 Stabilizing unstable steady states using extended time-delay autosynchronization Chaos 8 782 790 1003.37509 10.1063/1.166357 (Pubitemid 128449107)
13. P. Hövel E. Schöll 2005 Control of unstable steady states by time-delayed feedback methods Phys. Rev. E 72 046203 10.1103/PhysRevE.72.046203 (Pubitemid 41777957)
14. T. Dahms P. Hövel E. Schöll 2007 Control of unstable steady states by extended time-delayed feedback Phys. Rev. E 76 056201 10.1103/PhysRevE.76.056201 2495367
15. X. Guan G. Feng C. Chen G. Chen 2007 A full delayed feedback controller design method for time-delay chaotic systems Physica D 227 36 42 1158.34343 10.1016/j.physd.2006.12.009 2305197
16. J. Lu Z. Ma L. Li 2009 Double delayed feedback control for the stabilization of unstable steady states in chaotic systems Commun. Nonlinear Sci. Numer. Simul. 14 3037 3045 10.1016/j.cnsns.2008.10.026 2502313
17. Hirata, K., Kokame, H., Konishi, K., Fujita, H.: Observer-based delayed-feedback control of continuous-time systems. In: Proc. Am. Control Conference, Arlington, USA, 25-27 (2001)
18. V.Z. Tronciu H.-J. Wünsche M. Wolfrum M. Radziunas 2006 Semiconductor laser under resonant feedback from a Fabry-Perot resonator: Stability of continuous-wave operation Phys. Rev. E 73 046205 10.1103/PhysRevE.73.046205
19. H. Kokame K. Hirata K. Konishi T. Mori 2001 State difference feedback for stabilizing uncertain steady states of non-linear systems Int. J. Control 74 537 546 1038.93078 10.1080/00207170010017275 1827540
20. A. Kittel J. Parisi K. Pyragas R. Richter 1994 Delayed feedback control of chaos in an electronic double-scroll oscillator Z. Naturforsch. 49A 843 846
21. T. Hikihara T. Kawagoshi 1996 An experimental study on stabilization of unstable periodic motion in magneto-elastic chaos Phys. Lett. A 211 29 36 10.1016/0375-9601(95)00925-6 (Pubitemid 126367606)
22. A. Ahlborn U. Parlitz 2004 Stabilizing unstable steady states using multiple delay feedback control Phys. Rev. Lett. 93 264101 10.1103/PhysRevLett. 93.264101 (Pubitemid 40213727)
23. A. Ahlborn U. Parlitz 2006 Laser stabilization with multiple-delay feedback control Opt. Lett. 31 465 467 10.1364/OL.31.000465
24. K. Konishi H. Kokame N. Hara 2010 Stabilization of a steady state in network oscillators by using diffusive connections with two long time delays Phys. Rev. E 81 016201 10.1103/PhysRevE.81.016201
25. W. Michiels V.V. Assche S.-I. Niculescu 2005 Stabilization of time-delay systems with a controlled time-varying delay and applications IEEE Trans. Autom. Control 50 493 504 10.1109/TAC.2005.844723 (Pubitemid 40555771)
26. A. Gjurchinovski V. Urumov 2008 Stabilization of unstable steady states by variable-delay feedback control Europhys. Lett. 84 40013 10.1209/0295-5075/ 84/40013
27. K. Konishi H. Kokame N. Hara 2010 Stability analysis and design of amplitude death induced by a time-varying delay connection Phys. Lett. A 374 733 738 10.1016/j.physleta.2009.11.065
28. T. Insperger 2006 Act-and-wait concept for continuous-time control systems with feedback delay IEEE Trans. Control Syst. Technol. 14 974 977 10.1109/TCST.2006.876938 (Pubitemid 44268880)
29. G. Stepan T. Insperger 2006 Stability of time-periodic and delayed systems-A route to act-and-wait control Ann. Rev. Control 30 159 168 10.1016/j.arcontrol.2006.08.002 (Pubitemid 44780176)
30. T. Insperger G. Stepan 2007 Act-and-wait control concept for discrete-time systems with feedback delay IET Control Theory Appl. 1 553 557 10.1049/iet-cta:20060051 (Pubitemid 46738165)
31. T. Insperger P. Wahi A. Colombo G. Stepan M. Bernardo J.S. di Hogan 2010 Full characterization of act-and-wait control for first order unstable lag processes J. Vib. Control 16 1209 1233 10.1177/1077546309341135
32. T. Insperger L.L. Kovacs P. Galambos G. Stepan 2010 Increasing the accuracy of digital force control process using the act-and-wait concept IEEE/ASME Trans. Mechatron. 15 291 298 10.1109/TMECH.2009.2024683
33. Gawthrop, P.: Act-and-wait and intermittent control: Some comments. IEEE Trans. Control Syst. Technol. (in press). doi: 10.1109/TCST.2009.2034403
34. S. Yanchuk M. Wolfrum P. Hövel E. Schöll 2006 Control of unstable steady states by long delay feedback Phys. Rev. E 74 026201 10.1103/PhysRevE.74.026201 2280420 (Pubitemid 44943751)
35. Ogata, K.: Discrete-time Control Systems. Pearson Education, Upper Saddle River (1994)
36. T. Matsumoto L.O. Chua M. Komuro 1985 The double scroll IEEE Trans. Circuits Syst. 32 797 818 0578.94023 10.1109/TCS.1985.1085791 801479
37. P.V. Bayly L.N. Virgin 1994 Practical considerations in the control of chaos Phys. Rev. E 50 604 607 10.1103/PhysRevE.50.604
38. H.G. Schuster M.B. Stemmler 1997 Control of chaos by oscillating feedback Phys. Rev. E 56 6410 6417 10.1103/PhysRevE.56.6410 (Pubitemid 127605680)
39. T. Ushio 1996 Limitation of delayed feedback control in nonlinear discrete-time systems IEEE Trans. Circuits Syst. I 43 815 816 10.1109/81.536757 (Pubitemid 126777531)
40. Ueta, T., Toyosaki, Y., Tsuji, S., Kousaka, T.: Partial delayed feedback control and its DSP implementation. In: Proc. of IEEE International Midwest Symposium on Circuits and Systems, Hiroshima, pp. 629-632 (2004)