Adaptive sliding mode synchronization for a class of fractional-order chaotic systems with disturbance

Shao, Shuyi; Chen, Mou; Yan, Xiaohui

doi:10.1007/s11071-015-2450-1

Cited by 93 publications

(50 citation statements)

References 45 publications

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“…Finding new chaotic systems and investigating chaos control and chaos synchronization methodologies are attractive topics [12][13][14][15] due to the applications of chaos in various areas such as waveforms of chaotic radar [16], image encryption [17], secure image transmission [18], video encryption design [19], and S-box construction [20].…”

Section: Introductionmentioning

confidence: 99%

Chaos in a System with an Absolute Nonlinearity and Chaos Synchronization

Tamba

Rajagopal

Pham

et al. 2018

Advances in Mathematical Physics

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Section: Introductionmentioning

confidence: 99%

Chaos in a System with an Absolute Nonlinearity and Chaos Synchronization

Tamba

Rajagopal

Pham

et al. 2018

Advances in Mathematical Physics

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“…The synchronization is reached in the presence of uncertainties facing the fuzzy logic controller in fractional-order hyperchaotic systems such as uncertainties in control outputs and uncertainties in inputs to the fuzzy logic controller. In the work of Shao et al, 26 a fractional-order disturbance observer based on ASMC synchronization is suggested for fractional-order chaotic systems with unknown bounded disturbances. For the nameless disturbances, it can be approximated by choosing the appropriate control gain parameter well.…”

Section: Literature Reviewmentioning

confidence: 99%

Sliding mode disturbance observer control based on adaptive synchronization in a class of fractional‐order chaotic systems

Mofid

Mobayen

Khooban

2018

Adaptive Control & Signal

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In this paper, a fractional-order Dadras-Momeni chaotic system in a class of three-dimensional autonomous differential equations has been considered.Later, a design technique of adaptive sliding mode disturbance-observer for synchronization of a fractional-order Dadras-Momeni chaotic system with time-varying disturbances is presented. Applying the Lyapunov stability theory, the suggested control technique fulfils that the states of the fractional-order master and slave chaotic systems are synchronized hastily. While the upper bounds of disturbances are unknown, an adaptive regulation scheme is advised to estimate them. The recommended disturbance-observer realizes the convergence of the disturbance approximation error to the origin. Finally, simulation results are presented in one example to demonstrate the efficiency of the offered scheme on the fractional-order Dadras-Momeni chaotic system in the existence of external disturbances.

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“…These controllers not only deal with the uncertainties in ABS, but also track the desired slip faster than conventional integer-order SMC (IOSMC). Additionally, FOSMC has been employed for speed control of permanent magnet synchronous motors, 19,20 for vibration suppression of uncertain structures, 21 for control design of uncertain nonlinear systems, 22,23 for control of fractional-order chaotic systems, 24,25 and so on and achieved better control capacities. To date, most of the research on FOSMC has focused on the fractional-order switching manifold, these FOSMC strategies improve the control capacities of conventional IOSMC by employing fractional-order switching manifold, but they cannot achieve optimal control performance without additional measures.…”

Section: 6mentioning

confidence: 99%

Fractional-order sliding mode control for a class of uncertain nonlinear systems based on LQR

Zhang

Cao

Tang

2017

International Journal of Advanced Robotic Systems

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This article presents a new fractional-order sliding mode control (FOSMC) strategy based on a linear-quadratic regulator (LQR) for a class of uncertain nonlinear systems. First, input/output feedback linearization is used to linearize the nonlinear system and decouple tracking error dynamics. Second, LQR is designed to ensure that the tracking error dynamics converges to the equilibrium point as soon as possible. Based on LQR, a novel fractional-order sliding surface is introduced. Subsequently, the FOSMC is designed to reject system uncertainties and reduce the magnitude of control chattering. Then, the global stability of the closed-loop control system is analytically proved using Lyapunov stability theory. Finally, a typical single-input single-output system and a typical multi-input multi-output system are simulated to illustrate the effectiveness and advantages of the proposed control strategy. The results of the simulation indicate that the proposed control strategy exhibits excellent performance and robustness with system uncertainties. Compared to conventional integer-order sliding mode control, the high-frequency chattering of the control input is drastically depressed.

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Adaptive sliding mode synchronization for a class of fractional-order chaotic systems with disturbance

Cited by 93 publications

References 45 publications

Chaos in a System with an Absolute Nonlinearity and Chaos Synchronization

Chaos in a System with an Absolute Nonlinearity and Chaos Synchronization

Sliding mode disturbance observer control based on adaptive synchronization in a class of fractional‐order chaotic systems

Fractional-order sliding mode control for a class of uncertain nonlinear systems based on LQR

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