Chaos control in AFM systems using nonlinear delayed feedback via sliding mode control

Arjmand, Mehdi Tabe; Sadeghian, Hoda; Salarieh, Hassan; Alasty, Aria

doi:10.1016/j.nahs.2007.10.002

Cited by 35 publications

(21 citation statements)

References 11 publications

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“…Among others, Zou et al [11] presented and experimentally applied an inversion-based feedback/feedforward control approach; Merry et al [12] applied a feedback control to all of 3 d.o.f. of a metrological AFM; Arjmand et al [13] used a non-linear delayed feedback control to control chaos in AFMs, as well as Yamasue and Hikihara [14] and Salarieh and Alasty [15]; a feedback control composed of a sliding mode control (SMC) and a backstepping feedback was proposed by Wang et al [16] to control chaotic motions in a spring-mass model of AFM; Nozaki et al [17] applied the State Dependent Riccati Equation (SDRE) together with time-delayed feedback control to a tapping-mode AFM model. Furthermore, Yagasaki [18] has recently applied the external feedback control technique proposed by Pyragas to a simple tapping AFM model, which works by keeping the cantilever vibration to a selected reference one and allows us to simultaneously measure the sample surface.…”

Section: Introductionmentioning

confidence: 99%

Influence of a locally-tailored external feedback control on the overall dynamics of a non-contact AFM model

Settimi

Rega

2016

International Journal of Non-Linear Mechanics

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Section: Introductionmentioning

confidence: 99%

Influence of a locally-tailored external feedback control on the overall dynamics of a non-contact AFM model

Settimi

Rega

2016

International Journal of Non-Linear Mechanics

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“…However, the chaos behavior in some engineering system is highly unexpected because it will influence performance of system. In recent years, growing interests from physics, chemistry, biology, and engineering have stimulated the studies of chaos control techniques [1][2][3][4][5][6]. Several control methods leading to suppression of chaos have been presented.…”

Section: Introductionmentioning

confidence: 99%

Robust Control Design for Discrete Chaotic Systems with Unmatched Uncertainties

Tsai

Fang

Yan

et al. 2016

Proceedings of the 4th IIAE International Conference on Intelligent Systems and Image Processing 2016

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This paper is concerned with the robust control for a general class of discrete chaotic systems with unmatched uncertainties. It is implemented by using discrete sliding mode control (DSMC). The proposed DSMC ensures the existence of the sliding mode. The chaotic behavior can be inhibited in an estimated bound in the state space even with unmatched uncertainties, which is not well addressed in the literature. The numerical simulation results demonstrate the feasibility and effectiveness of the proposed scheme.

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“…Many active control methods have been presented for control of chaotic systems such as nonlinear feedback control [12], drive-response synchronization method [13], adaptive control method [14,15], variable structure (or sliding mode) control method [16][17][18][19], back stepping control method [20,21], fractional control [22], impulsive control [23], and adaptive sliding mode control [24].…”

Section: Introductionmentioning

confidence: 99%

Control of Chaos in Rate-Dependent Friction-Induced Vibration Using Adaptive Sliding Mode Control and Impulse Damper

2013

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Two different control methods, namely, adaptive sliding mode control and impulse damper, are used to control the chaotic vibration of a block on a belt system due to the rate-dependent friction. In the first method, using the sliding mode control technique and based on the Lyapunov stability theory, a sliding surface is determined, and an adaptive control law is established which stabilizes the chaotic response of the system. In the second control method, the vibration of this system is controlled by an impulse damper. In this method, an impulsive force is applied to the system by expanding and contracting the PZT stack according to efficient control law. Numerical simulations demonstrate the effectiveness of both methods in controlling the chaotic vibration of the system. It is shown that the settling time of the controlled system using impulse damper is less than that one controlled by adaptive sliding mode control; however, it needs more control effort.

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Chaos control in AFM systems using nonlinear delayed feedback via sliding mode control

Cited by 35 publications

References 11 publications

Influence of a locally-tailored external feedback control on the overall dynamics of a non-contact AFM model

Influence of a locally-tailored external feedback control on the overall dynamics of a non-contact AFM model

Robust Control Design for Discrete Chaotic Systems with Unmatched Uncertainties

Control of Chaos in Rate-Dependent Friction-Induced Vibration Using Adaptive Sliding Mode Control and Impulse Damper

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