Synchronization problem for a class of multi-input multi-output systems with terminal sliding mode control based on finite-time disturbance observer: Application to Chameleon chaotic system

Aslmostafa, Ehsan; Mirzaei, Mojtaba; Asadollahi, Mostafa; Badamchizadeh, Mohammad Ali

doi:10.1016/j.chaos.2021.111191

Cited by 19 publications

(6 citation statements)

References 47 publications

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“…In [17], the sliding mode observer reduces the effect of parameter uncertainty and external disturbances on the performance of PMSM chaotic systems, which is found to have a faster response than adaptive control and finite-time synchronization control approximately. The finite time disturbance observer (FTDO) allows precise identification of disturbance parameters and the terminal sliding mode controller with FTDO eliminates chattering and convergence of the synchronization error to the origin achieved in finite time [15]. The initial state of the system has a direct effect on the random finite-time synchronization, but has no effect on the random fixed-time synchronization [11][18].…”

Section: Introducementioning

confidence: 99%

Fixed-time synchronization of fractional-order chameleon hyperchaotic systems based on hyperbolic sliding mode

Li,

Zhao,

Yang

2023

Preprint

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This paper proposes a new control method for a four-dimensional hyperchaotic system using the terminal sliding mode control. It eliminates the need for the traditional activation function by replacing it with a hyperbolic tangent function. This method effectively deals with the effects of parameter uncertainties and external disturbances in the systems, also eliminates the chattering phenomenon in the synchronous process, enables the response system and the drive system to reach the synchronization state in a fixed time. Finally, numerical simulations with MATLAB software were applied to verify the effectiveness of this fixed time convergence technique.

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Section: Introducementioning

confidence: 99%

Fixed-time synchronization of fractional-order chameleon hyperchaotic systems based on hyperbolic sliding mode

Li,

Zhao,

Yang

2023

Preprint

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“…Thus, the accomplished convergence time in these methods is infinite, which results in an undesirable attitude in practice. Accordingly, finite-time synchronization methods have been proposed to address the encountered problem and in recent years the mentioned approach has been investigated to the large extent (Aslmostafa et al, 2021b; Chen et al, 2018; Mirzaei et al, 2021c; Ning et al, 2020; Xi et al, 2018).…”

Section: Introductionmentioning

confidence: 99%

Fast fixed-time sliding mode control for synchronization of chaotic systems with unmodeled dynamics and disturbance; applied to memristor-based oscillator

Mirzaei

Aslmostafa

Asadollahi

et al. 2022

Journal of Vibration and Control

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In this paper, fast global fixed-time terminal sliding mode control for the synchronization problem of a generalized class of nonlinear perturbed chaotic systems has been investigated with the application of memristor-based oscillator in the presence of external disturbances and unmodeled dynamics. In the fixed-time control strategy, unlike conventional asymptotic or finite-time approaches, convergence time is not related to the initial conditions. In the designed global fixed-time controller, both the sliding phase and reaching phase have fixed-time convergence characteristics and consequently, via the proposed strategy, precise synchronization of the master-slave systems is accomplished within fixed convergence time. The fast fixed-time synchronization problem of the nonlinear memristor chaotic system (MCS) has been investigated. In the first stage, an in-circuit emulator (ICE) for the considered memristor is utilized in order to apply on the defined MCSs. In the next stage, according to the considered ICE, the dynamical structure of the MCS is formulated along with the fixed-time synchronization problem which is efficiently addressed via the designed controller in the presence of external disturbances and unmodeled dynamics. Finally, the strength and validity of the theoretical outcomes are confirmed through numerical simulations.

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“…The sliding mode control strategy which is a robust way in control of linear and nonlinear systems, avoids the interference of external disturbances in the convergence performance of system states [30]. So, nonlinear systems have extensively been investigated with the sliding mode control which provides a suitable method that represents a highly insensitive control process and it isn't influenced by uncertainties and external disturbances [31][32][33][34]. Even so traditional sliding mode control lacks satisfactory robustness during the reaching phase, integral sliding mode (ISM) control can be a promising solution [35].…”

Section: Introductionmentioning

confidence: 99%

Adaptive under-actuated control for capacitive micro-machined ultrasonic transducer based on an accurate nonlinear modeling

et al. 2022

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A capacitive micromachined ultrasonic transducer (CMUT) due to many benefits is being considered as an imaging and therapeutic technology recently. The critical challenge here is to stabilize the system beyond the pull-in voltage considering imposed perturbations. The CMUT system, on the other hand, has a low range of travel and it is intrinsically unstable, which can result in a pull-in phenomenon. Consequently, in order to use the CMUT systems in a variety of medical applications that require high tuning ratio, a closedloop control technique has been designed for these systems aims at increasing the maximum capacitance and enhancing tunability as well. In this study, using the closed-loop control, the resistance of micro plate against the pull-in phenomenon has been examined. Also, in the description of the system a more accurate nonlinear modeling has been considered in the presence of an under-actuated sliding model control strategy with finite convergence time. Beside, adaptive protocols with unknown upper bounds have been designed to compensate the effects of uncertainty, unmodeled dynamics and external disturbances. The performance of controller in terms of improving output pressure, stabilizing the CMUT and its robustness to imposed perturbations have been investigated. Finally, numerical simulations

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Synchronization problem for a class of multi-input multi-output systems with terminal sliding mode control based on finite-time disturbance observer: Application to Chameleon chaotic system

Cited by 19 publications

References 47 publications

Fixed-time synchronization of fractional-order chameleon hyperchaotic systems based on hyperbolic sliding mode

Fixed-time synchronization of fractional-order chameleon hyperchaotic systems based on hyperbolic sliding mode

Fast fixed-time sliding mode control for synchronization of chaotic systems with unmodeled dynamics and disturbance; applied to memristor-based oscillator

Adaptive under-actuated control for capacitive micro-machined ultrasonic transducer based on an accurate nonlinear modeling

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