Finite-time chaos control via nonsingular terminal sliding mode control

Wang, Hua; Han, Zhengzhi; Xie, Qiyue; Zhang, Wei

doi:10.1016/j.cnsns.2008.08.013

Cited by 137 publications

(67 citation statements)

References 11 publications

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“…Obviously, when θ = 1, the intermittent control (3.2) is degenerated to a continuous control input which has been extensively proposed in previous work (see [15,[41][42][43][44][45][46][47][48]). …”

Section: Remarkmentioning

confidence: 99%

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Finite-time synchronization of drive-response systems via periodically intermittent adaptive control

Mashino

Jiang

Wang

et al. 2014

Journal of the Franklin Institute

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Abstract:In this paper, the finite-time synchronization between two complex dynamical networks via the periodically intermittent adaptive control and periodically intermittent feedback control is studied. The finite-time synchronization criteria are derived based on finite-time stability theory, the differential inequality and the analysis technique. Since the traditional synchronization criteria for some models are improved in the convergence time by using the novel periodically intermittent adaptive control and periodically intermittent feedback control , the results of this paper are important. Numerical examples are finally presented to illustrate the effectiveness and correctness of the theoretical results.

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Section: Remarkmentioning

confidence: 99%

“…[41][42][43][44][45][46][47][48] can be easily analogized from the simplified criteria despite model differences. , if we fixed the k, then we have,…”

Section: Remarkmentioning

confidence: 99%

Finite-time synchronization of drive-response systems via periodically intermittent adaptive control

Mashino

Jiang

Wang

et al. 2014

Journal of the Franklin Institute

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“…(12), if this system is controlled by the control input (34), then the system trajectories will converge to the sliding surface ( ) = 0 in a finite time.…”

Section: Theoremmentioning

confidence: 99%

“…Many researchers have made great contributions; for example, for integer-order chaotic systems with uncertain parameters or disturbances, the finite-time nonsingular terminal sliding mode controller was designed in [34,35], and, furthermore, for fractional-order chaotic systems, a novel fractional-order terminal sliding mode controller was proposed in [27] based on finite-time scheme. However, to the best of our knowledge, there is little work in the literature on finite-time control for fractional-order chaotic systems which combines the nonsingular terminal sliding mode control and the fuzzy control theory, which has remained as an open and challenging problem to be solved in this paper.…”

Section: Introductionmentioning

confidence: 99%

Synchronization of Two Fractional-Order Chaotic Systems via Nonsingular Terminal Fuzzy Sliding Mode Control

Song

Tejado

et al. 2017

Journal of Control Science and Engineering

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The synchronization of two fractional-order complex chaotic systems is discussed in this paper. The parameter uncertainty and external disturbance are included in the system model, and the synchronization of the considered chaotic systems is implemented based on the finite-time concept. First, a novel fractional-order nonsingular terminal sliding surface which is suitable for the considered fractional-order systems is proposed. It is proven that once the state trajectories of the system reach the proposed sliding surface they will converge to the origin within a given finite time. Second, in terms of the established nonsingular terminal sliding surface, combining the fuzzy control and the sliding mode control schemes, a novel robust single fuzzy sliding mode control law is introduced, which can force the closed-loop dynamic error system trajectories to reach the sliding surface over a finite time. Finally, using the fractional Lyapunov stability theorem, the stability of the proposed method is proven. The proposed method is implemented for synchronization of two fractional-order Genesio-Tesi chaotic systems with uncertain parameters and external disturbances to verify the effectiveness of the proposed fractional-order nonsingular terminal fuzzy sliding mode controller.

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“…Many techniques have been devised for controlling chaos via, for example, nonlinear and robust control, sliding mode control, adaptive control, partial control, control by weak signals, and finite time control ( [9][10][11][12][13][14][15][16] and the references therein). In these approaches, the unstable periodic orbits are determined and a control signal is then generated which will stabilize the chaotic system to an equilibrium, locally or globally.…”

Section: Introductionmentioning

confidence: 99%

Taming Chaos by Linear Regulation with Bound Estimation

Wang

Chen

2015

Journal of Applied Mathematics

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Chaos control has become an important area of research and consequently many approaches have been proposed to control chaos. This paper proposes a linear regulation method. Different from the existing approaches is that it can provide region of attraction while estimating the bounding behaviour of the norm of the states. The proposed method also possesses design flexibility and can be easily used to cater for special requirement such that control signal should be generated via single input, single state, static feedback and so forth. The applications to the Tigan system, the Genesio chaotic system, the novel chaotic system, and the Lorenz chaotic system justify the above claims.

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Finite-time chaos control via nonsingular terminal sliding mode control

Cited by 137 publications

References 11 publications

Finite-time synchronization of drive-response systems via periodically intermittent adaptive control

Finite-time synchronization of drive-response systems via periodically intermittent adaptive control

Synchronization of Two Fractional-Order Chaotic Systems via Nonsingular Terminal Fuzzy Sliding Mode Control

Taming Chaos by Linear Regulation with Bound Estimation

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