Hybrid chaos control of continuous unified chaotic systems using discrete rippling sliding mode control

Yan, Jun Juh; Chen, Chih Yung; Tsai, Jason Sheng Hong

doi:10.1016/j.nahs.2016.05.004

Cited by 21 publications

(13 citation statements)

References 22 publications

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“…. , 11), then the root that has zero real parts does not exist in (13). (ii) Assume that ξ 11 < 0 and ∃μ 0 > 0 which satisfies V(μ 0 ) < 0, then (13) possesses at least two pairs of purely imaginary roots.…”

Section: Adding Time-delayed Feedback Controller To the First Equatiomentioning

confidence: 99%

“…Many excellent fruits have been reported. For example, Kocamaz et al [7] investigated the chaos control by applying the sliding mode control technique; Chen [8] proposed an adaptive feedback control technique for chaos and hyperchaos control; Din [9] studied the chaos control of a discretetime prey-predator system by using three di erent types of feedback control strategies; Singh and Gakkhar [10] controlled the chaos of a food chain model with a timedelayed feedback controller; Yan et al [11] discussed the chaos control of continuous uni ed chaotic systems applying discrete rippling sliding mode control. For more knowledge on chaos control, readers can refer to [12][13][14][15][16][17][18][19][34][35][36][37][38][39][40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

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Control Scheme for a Fractional‐Order Chaotic Genesio‐Tesi Model

Liao

et al. 2019

Complexity

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In this paper, based on the earlier research, a new fractional-order chaotic Genesio-Tesi model is established. The chaotic phenomenon of the fractional-order chaotic Genesio-Tesi model is controlled by designing two suitable time-delayed feedback controllers. With the aid of Laplace transform, we obtain the characteristic equation of the controlled chaotic Genesio-Tesi model. Then by regarding the time delay as the bifurcation parameter and analyzing the characteristic equation, some new sufficient criteria to guarantee the stability and the existence of Hopf bifurcation for the controlled fractional-order chaotic Genesio-Tesi model are derived. The research shows that when time delay remains in some interval, the equilibrium point of the controlled chaotic Genesio-Tesi model is stable and a Hopf bifurcation will happen when the time delay crosses a critical value. The effect of the time delay on the stability and the existence of Hopf bifurcation for the controlled fractional-order chaotic Genesio-Tesi model is shown. At last, computer simulations check the rationalization of the obtained theoretical prediction. The derived key results in this paper play an important role in controlling the chaotic behavior of many other differential chaotic systems.

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Section: Adding Time-delayed Feedback Controller To the First Equatiomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Control Scheme for a Fractional‐Order Chaotic Genesio‐Tesi Model

Liao

et al. 2019

Complexity

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“…Researchers pointed out that, when parameter values of chaotic systems are slightly modulated, the chaotic behavior will produce huge and unpredictable changes. Several feedback control methods to suppress chaos behavior have been proposed in the literature [2,3]. Although the chaos behavior might be undesired in most mechanical systems, the noise-like behavior of chaos is useful to the application of image encryption and secure communication [4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Design of Synchronized Large-Scale Chaos Random Number Generators and Its Application to Secure Communication

2019

Self Cite

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This paper is concerned with the design of synchronized large-scale chaos random number generators (CRNGs) and its application to secure communication. In order to increase the diversity of chaotic signals, we firstly introduce additional modulation parameters in the original chaotic Duffing map system to modulate the amplitude and DC offset of the chaotic states. Then according to the butterfly effect, we implement modulated Duffing map systems with different initial values by using the microcontroller and complete the design of large-scale CRNGs. Next, a discrete sliding mode scheme is proposed to solve the synchronization problem of the master-slave large-scale CRNGs. Finally, we integrate the aforementioned results to implement an innovative secure communication system.

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“…Hence, the problem of robust stabilization and tracking control for uncertain nonlinear systems has been widely investigated. Over the past decades, a range of research has been undertaken in this field . However, these studies assumed that all system states are known.…”

Section: Introductionmentioning

confidence: 99%

“…Over the past decades, a range of research has been undertaken in this field. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] However, these studies assumed that all system states are known. From a practical point of view, the system states may not be available and only the system outputs can be measured in many systems.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Observer‐Based Global Sliding Mode Control for Uncertain Discrete‐Time Nonlinear Systems with Time‐Delays and Input Nonlinearity

Pai

2018

Asian Journal of Control

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A new discrete‐time adaptive global sliding mode control (SMC) scheme combined with a state observer is proposed for the robust stabilization of uncertain nonlinear systems with mismatched time delays and input nonlinearity. A state observer is developed to estimate the unmeasured system states. By using Lyapunov stability theorem and linear matrix inequality (LMI), the condition for the existence of quasi‐sliding mode is derived and the stability of the overall closed‐loop system is guaranteed. Finally, simulation results are presented to demonstrate the validity of the proposed scheme.

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Hybrid chaos control of continuous unified chaotic systems using discrete rippling sliding mode control

Cited by 21 publications

References 22 publications

Control Scheme for a Fractional‐Order Chaotic Genesio‐Tesi Model

Control Scheme for a Fractional‐Order Chaotic Genesio‐Tesi Model

Design of Synchronized Large-Scale Chaos Random Number Generators and Its Application to Secure Communication

Adaptive Observer‐Based Global Sliding Mode Control for Uncertain Discrete‐Time Nonlinear Systems with Time‐Delays and Input Nonlinearity

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