Controlling chaos to generate aperiodic orbits

Mehta, Nihal J.; Henderson, Ross

doi:10.1103/physreva.44.4861

Cited by 54 publications

(15 citation statements)

References 4 publications

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“…Speci"cally, the OGY strategy is extended to stabilize a chaotic trajectory of one system about a chaotic orbit of the other system to achieve synchronization of the two systems. It should be noted that the idea of stabilizing chaotic orbits by using OGY method was also proposed by Metha and Henderson [109]. Their approach is to construct an arti"cial dynamical system evolving errors between the system's output and the target chaotic orbit.…”

Section: Synchronization Of Low-dimensional Chaotic Systems By Controlmentioning

confidence: 99%

The control of chaos: theory and applications

et al. 2000

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Section: Synchronization Of Low-dimensional Chaotic Systems By Controlmentioning

confidence: 99%

The control of chaos: theory and applications

et al. 2000

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“…Now, several control methods have been successfully applied to chaotic systems, e.g. the OGY(Ott-Grebogi-Yorke) method [3][4], the DFC (delay feedback control) method [5][6], the sliding mode control method [7] and fuzzy control method [8] etc. In this paper, a new terminal sliding mode controller is proposed.…”

Section: Introductionmentioning

confidence: 99%

Chaos Control via Non-singular Terminal Sliding Mode Controller in Auto Gauge Control System

Zhang¹,

Pan²,

Shi³

2017

dtcse

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Abstract. In this paper, new idea is proposed that roll eccentricity disturbance on gauge may cause chaos under certain system parameters during rolling through establishing the eccentric model. A new non-singular terminal sliding mode controller is proposed to control the chaotic system. The new controller based on exponential reaching law improves the convergence rate and reduce the reaching time. As expected from the theoretical analysis, the designed controller actualizes stability control in the chaotic system with high convergence rate. Simulation results show the effectiveness of the method.

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“…the OGY(Ott-Grebogi-Yorke )method [1][2][3],the delay feedback control method [4,5], the sliding mode control method [6,7] and fuzzy control method [8,9] etc.…”

Section: Introductionmentioning

confidence: 99%

Chaos control via variable universe fuzzy theory in auto gauge control system

Jing

Zhang

2010

2010 International Conference on Computer Application and System Modeling (ICCASM 2010)

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Roll eccentricity is one of the most important factors that affect the quality of the steel plate and strip products. In this paper, Mill eccentric model is established and analyzed.New idea that is proposed that roll eccentricity disturbance on gauge is chaotic during rolling. Fuzzy controller is used to control the chaotic system. A new variable universe fuzzy controller based on improved ant colony optimization algorithm is proposed to overcome the contradiction between fuzzy control rules and control accuracy. Simulation results demonstrate the effectiveness of the approach.

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Controlling chaos to generate aperiodic orbits

Cited by 54 publications

References 4 publications

The control of chaos: theory and applications

The control of chaos: theory and applications

Chaos Control via Non-singular Terminal Sliding Mode Controller in Auto Gauge Control System

Chaos control via variable universe fuzzy theory in auto gauge control system

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