Robust synchronization of master-slave chaotic systems using approximate model: An experimental study

Ahmed, Hafiz; Salgado, Iván; Ríos, Héctor

doi:10.1016/j.isatra.2018.01.009

Cited by 21 publications

(8 citation statements)

References 35 publications

(51 reference statements)

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“…To illustrate the simulation results and confirm the advantages of the proposed control law (13), the performance indexes are calculated, which are presented in Table 1. Similar simulation results and values of performance indexes are obtained if parametric perturbations (19) are applied to the slave system (2).…”

Section: Simulation and Discussionsupporting

confidence: 68%

“…where s 2 = α 21 e 1 + e 2 , x (2) = [e 1 , e 2 ] T . Substituting this expression into the functional equation ( 8), we obtain, by virtue of the equations of the object (14), the law of "internal" control:…”

Section: Design Of the Robust Control Law For Arneodo Chaotic Systemsmentioning

confidence: 99%

“…Traditionally the problem of chaotic system synchronization is solved by the methods of active control [1], [8], [33], methods of adaptive control [10], [37], [11], [40], method of design of the sliding mode control (SMC) [39], [7], [38], [37], [23], [17], [36], [29], [2], backstepping [32], [34], [11] and etc. [12], [9], [13], [30], [4].…”

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confidence: 99%

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Forced Sliding Mode Control for Chaotic Systems Synchronization

Kuz'menko¹

2021

Preprint

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Synchronization of chaotic systems is considered to be a common engineering problem. However, the proposed laws of synchronization control do not always provide robustness towards the parametric perturbations. The purpose of this article is to show the use of synergy-cybernetic approach for the construction of robust law for Arneodo chaotic systems synchronization. As the main method of design of robust control, the method of design of control with forced sliding mode of the synergetic control theory is considered. To illustrate the effectiveness of the proposed law it's compared in this article with the classical sliding mode control. The distinctive features of suggested robust control law are the more good compensation of parametric perturbations (better performance indexes --- the root-mean-square error, average absolute value of error) without designing perturbation observers, the ability to exclude the chattering effect, less energy-consuming and a simpler analysis of the stability of a closed-loop system. Offered approach will allow a new consideration for the design of robust control laws for chaotic systems, taking into account the ideas of directed self-organization and robust control. It can be used for synchronization other chaotic systems.Mathematics Subject Classification (2020) 93B35 · 93B52 · 93C30 · 93D21 · 34H10

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Section: Simulation and Discussionsupporting

confidence: 68%

Section: Design Of the Robust Control Law For Arneodo Chaotic Systemsmentioning

confidence: 99%

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Forced Sliding Mode Control for Chaotic Systems Synchronization

Kuz'menko¹

2021

Preprint

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“…Accordingly, various control methods have been proposed to solve the synchronization problem between chaotic systems, such as linear control [1], optimal control [2], pinning control [3], sliding mode control [4], and so on. So far, many interesting results have been obtained for chaos synchronization [5][6][7][8][9]. However, most of the researching products are based on asymptotical synchronization, which means that chaos synchronization can only be achieved when time tends to infinity.…”

Section: Introductionmentioning

confidence: 99%

Fixed time synchronization of a class of chaotic systems based via the saturation control

Fu¹,

Luo²,

Huang³

et al. 2021

Rev. Mex. Fís.

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In this paper, we discuss the fixed time synchronization of a class of chaotic systems based on the backstepping control with disturbances. A new and important fixed time stability theorem is presented. The upper bound estimate formulas of the settling time are also given which are different from the existing results in the literature. Based on the new fixed time stability theorem, a novel saturation controller for the fixed time synchronization a class of chaotic systems is proposed via the backstepping method. Finally, the new chaotic system is taken as an example to illustrate the applicability of the obtained theory.

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“…In [13], the model-free controller is designed to control a twotank system, and the experimental results show that the MFC method has the merit of robustness and simple implementation. In [14], aiming at the robust synchronization problem of master slave chaotic systems, the ultra-local model is established, and the fixed-time differentiator is used to estimate the unmeasurable states. In [15], the predictive current controller of PMSM is designed based on ultra-local model.…”

Section: Introductionmentioning

confidence: 99%

Robust Model-Free Nonsingular Terminal Sliding Mode Control for PMSM Demagnetization Fault

et al. 2019

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In this paper, a robust model-free nonsingular terminal sliding-mode control (MFNTSMC) algorithm based on the ultra-local model is proposed to reduce the influence of permanent magnet (PM) demagnetization for PM synchronous motors (PMSMs). First, the PMSM mathematical model in normal and demagnetization is described, and the ultra-local model of speed loop and current loop is constructed based on the input and the output of the PMSM vector control system. Then, the MFNTSMC method is proposed and adopted to design the speed controller and d-q-axis current controller, and the sliding-mode observer is designed to estimate the unknown terms of the ultra-local model. Finally, compared with the PI control method and model-free control method, the results of simulations and experimentations show that the MFNTSMC method can improve the dynamic response while maintaining robustness of PMSM driven system, reduce the dependence of the design of controller on the precise PMSM model, and has fault-tolerant control function for PM demagnetization fault. INDEX TERMS Ultra-local model, permanent magnet synchronous motor (PMSM), demagnetization, model-free nonsingular terminal sliding mode control (MFNTSMC), sliding mode observer (SMO).

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Robust synchronization of master-slave chaotic systems using approximate model: An experimental study

Cited by 21 publications

References 35 publications

Forced Sliding Mode Control for Chaotic Systems Synchronization

Forced Sliding Mode Control for Chaotic Systems Synchronization

Fixed time synchronization of a class of chaotic systems based via the saturation control

Robust Model-Free Nonsingular Terminal Sliding Mode Control for PMSM Demagnetization Fault

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