A Design of Control Strategy for Chaotic Systems with Time-Delay

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In various kinds of feedback control, delayed control is an important topic for chaos control, which deserves more thorough researches. However, only a few researchers take in to account that whether the delayed feedback control (DFC) can be employed to control chaotic systems with time-delay. To investigate the control strategy, a stabilization problem of unstable fixed points in the discrete time-delay system is taken into considerations in this paper. Based on our conclusion, it is obvious that the odd number limitation property existing in the system without delay also exists in the time-delay one while the DFC is employed to stabilize the unstable fixed points. Second, based on the property of the root-locus diagram, a developed DFC strategy is proposed to release the limitation. The numerical simulation results validate the effectiveness of our design and are in agreement of our analysis.

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1248-1255

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March 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] Pyragas K. Continuous control of chaos by self-controlling feedback [J]. Phys. Lett. A, 1992, 170: 421-428.

DOI: 10.1016/0375-9601(92)90745-8

Google Scholar

[2] Socolar J E S, Sukow D W, Gauthier D J. Stabilizing unstable periodic orbits in fast dynamic systems [J]. Phys. Rev. E, 1994, 50(4): 3245-3248.

DOI: 10.1103/physreve.50.3245

Google Scholar

[3] Ushio T. Limitation of delayed feedback control in nonlinear discrete-time systems [J]. IEEE Trans. Circuits Syst. I, 1996, 43: 815-816.

DOI: 10.1109/81.536757

Google Scholar

[4] Pyragas K. Control of chaos via an unstable delayed feedback controller [J]. Phys. Rev. Lett, 2001, 86(11): 2265-2268.

DOI: 10.1103/physrevlett.86.2265

Google Scholar

[5] May R M. Biological populations with nonoverlapping generations: stable points, stable cycles and chaos [J]. Science, 1974, 186: 645-647.

DOI: 10.1126/science.186.4164.645

Google Scholar