A parametric perturbation method for controlling discrete hyperchaotic systems

Jimenez-Triana, Alexander; Gonzalez-Cotrino, Carolina; Chen, Guanrong

doi:10.1109/cdc.2015.7403273

Cited by 3 publications

(3 citation statements)

References 12 publications

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“…This methodology results useful for controlling hyperchaos. The applicability of stabilization methods on hyperchaotic systems is pointed out in [9]. Here the successfulness of a DFC-type algorithm for the stabilization of hyperchaotic generalized Hénon maps at a fixed point is analyzed.…”

Section: Controlling Hyperchaotic Maps a Case Studymentioning

confidence: 99%

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Feedback control modulation for controlling chaotic maps

Hansen

González

2021

NAMC

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Based on existing feedback control methods such as OGY and Pyragas, alternative new schemes are proposed for stabilization of unstable periodic orbits of chaotic and hyperchaotic dynamical systems by suitable modulation of a control parameter. Their performances are improved with respect to: (i) robustness, (ii) rate of convergences, (iii) reduction of waiting time, (iv) reduction of noise sensitivity. These features are analytically investigated, the achievements are rigorously proved and supported by numerical simulations. The proposed methods result successful for stabilizing unstable periodic orbits in some classical discrete maps like 1-D logistic and standard 2-D Hénon, but also in the hyperchaotic generalized n-D Hénon-like maps.

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Section: Controlling Hyperchaotic Maps a Case Studymentioning

confidence: 99%

“…Here the successfulness of a DFC-type algorithm for the stabilization of hyperchaotic generalized Hénon maps at a fixed point is analyzed. The n-dimensional system is defined [9,28]:…”

Section: Controlling Hyperchaotic Maps a Case Studymentioning

confidence: 99%

Feedback control modulation for controlling chaotic maps

Hansen

González

2021

NAMC

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“…The control methods of chaotic oscillation can be divided into two aspects: guiding the development of the chaotic oscillation to the expected orbit and suppressing the occurrence of system chaos [5,6]. At present, the commonly used control methods include parameter perturbation method (OGY) [7][8][9][10], feedback control [11][12][13][14], adaptive control [15][16][17], fuzzy control [18][19][20], and backstepping control [21]. These approaches have important theoretical and practical significance to guarantee the stability and secure operation of power system while some defects did exist at the same time.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Fixed-Time Fast Terminal Sliding Mode Control for Chaotic Oscillation in Power System

Wang

Zhi-jie

et al. 2018

Mathematical Problems in Engineering

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The second-order chaotic oscillation system model is used to analyze the dynamic behavior of chaotic oscillations in power system. To suppress chaos and stabilize voltage within bounded time independent of initial condition, an adaptive fixed-time fast terminal sliding mode chaos control strategy is proposed. Compared with the conventional fast terminal sliding mode control strategy and finite-time control strategy, the proposed scheme has advantages in terms of convergence time and maximum deviation. Finally, simulation results are given to demonstrate the effectiveness of the proposed control scheme and the superior performance.

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