Sliding mode control and synchronization of chaotic systems with parametric uncertainties

Feki, Moez

doi:10.1016/j.chaos.2008.05.022

Cited by 61 publications

(41 citation statements)

References 19 publications

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“…Figure 2 shows the time responses of the system states. It is noticed that the state trajectories converge fast to the origin in comparison with the linear sliding surface and the method of [1]. Besides, it is evidently observed from Fig.…”

Section: Simulation Resultsmentioning

confidence: 70%

“…3 that the proposed control input produces faster and better settling time and low overshoot. Moreover, it is concluded from this figure that the proposed surface approaches to the origin faster than the surface offered in [1]. Time responses of the nonlinear function ψ(x 1 ), the eigenvalues (λ 1 , λ 2 ), and the adaptive gainL are demonstrated in Fig.…”

Section: Simulation Resultsmentioning

confidence: 80%

“…If the system (31) is expressed in the form of (2), one can obtain: The simulation results of the proposed control method are shown in comparison with the results of the controller of [1]. The chaotic trajectories of uncontrolled uncertain Genesio system are demonstrated in Fig.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…Sliding mode control (SMC) technique has attractive properties such as strong robustness in contrast to the variations of the parameters, fast response, remarkable transient performance, satisfactory computational simplicity, guaranteed stability, precise control, easy implementation, and insensitivity to the matched parametric uncertainties and external disturbances [1][2][3][4]. Generally, the design of SMC consists of two main steps: (a) the definition of a switching surface and (b) the design of a control law to derive the states to the sliding mode [5,6].…”

Section: Introductionmentioning

confidence: 99%

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Stability analysis and controller design for the performance improvement of disturbed nonlinear systems using adaptive global sliding mode control approach

Mobayen

Băleanu

2015

Nonlinear Dyn

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This paper addresses a novel adaptive global nonlinear sliding surface for a class of disturbed nonlinear dynamical systems. A nonlinear gain function is used in the sliding surface to change the damping ratio and improve the transient performance of the controlled system. Initially, to get a quick response, a low value of damping ratio is obtained using a constant gain matrix. As the response of the system approaches to the origin, the damping ratio of the controlled system is improved and the overshoot and settling time of the closed-loop system are reduced. A novel control law without chattering is designed to satisfy the elimination of the reaching phase and achieve the presence of the sliding around the surface right from the beginning. Moreover, the adaptive tuning control law eliminates the necessity of the knowledge about the bounds of the external disturbances. Illustrative simulations on Genesio chaotic system with different values of the initial conditions and external disturbances are presented to show the robustness and success of the suggested design.

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Section: Simulation Resultsmentioning

confidence: 70%

Section: Simulation Resultsmentioning

confidence: 80%

Section: Simulation Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stability analysis and controller design for the performance improvement of disturbed nonlinear systems using adaptive global sliding mode control approach

Mobayen

Băleanu

2015

Nonlinear Dyn

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“…This is a discrete technique that considers small perturbations applied in one system parameter when the trajectory approaches the vicinity of the desired orbit when crossing a specific surface. Since then, numerous control techniques have been proposed for controlling chaos in different chaotic systems such as backstepping [2][3][4], adaptive control algorithms [5][6][7] and sliding-mode control [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Discrete-time Fuzzy Sliding Mode Control For a Class of Chaotic Systems

Medhaffar¹,

Feki²,

Derbel³

2017

Adv. sci. technol. eng. syst. j.

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In this paper, we propose an adaptive discrete-time fuzzy sliding mode control for a class of chaotic systems. For this aim, a discrete sliding mode controller and a fuzzy system are combined to achieve an adequate control. The Laypunov stability theorem is used to testify the asymptotic stability of the whole system and the consequence parameters of the adaptive fuzzy system are tuned on-line by adaptive laws. The simulation example of the 3D Henon chaotic model is giving to confirm the effectiveness and the robustness of the proposed method.

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Synchronization of circular restricted three body problem with lorenz hyper chaotic system using a robust adaptive sliding mode controller

Khan

Shahzad

2013

Complexity

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In this computational study, we synchronize the Circular Restricted Three Body Problem (CRTBP) with Lorenz Hyper Chaotic System (LHCS) using a Robust Adaptive Sliding Mode Controller (RASMC) together with uncertainties, external disturbances and fully unknown parameters. A simple suitable sliding surface, which includes synchronization errors, is constructed and appropriate update laws are used to tackle the uncertainties, external disturbances and unknown parameters. All simulations to achieve the synchronization for the implemented technique for the two non‐identical systems under consideration are being done using Mathematica. © 2013 Wiley Periodicals, Inc. Complexity 18: 58‐64, 2013

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Sliding mode control and synchronization of chaotic systems with parametric uncertainties

Cited by 61 publications

References 19 publications

Stability analysis and controller design for the performance improvement of disturbed nonlinear systems using adaptive global sliding mode control approach

Stability analysis and controller design for the performance improvement of disturbed nonlinear systems using adaptive global sliding mode control approach

Adaptive Discrete-time Fuzzy Sliding Mode Control For a Class of Chaotic Systems

Synchronization of circular restricted three body problem with lorenz hyper chaotic system using a robust adaptive sliding mode controller

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