Chaotic synchronization and anti-synchronization for a novel class of multiple chaotic systems via a sliding mode control scheme

This paper presents a new approach to the design of a composite sliding mode control for a class of chaotic systems with uncertainties. A significant feature of this control scheme is the incorporation of a new complementary sliding variable to the conventional sliding variable in order that a high-performance controller can be obtained. It has been shown that the guaranteed steady-state error bounds are reduced by half, as compared with the conventional sliding control. Moreover, the dynamic responses during the reaching phase are also significantly improved. We used a controlled uncertain Lorenz system and a controlled uncertain Chua's circuit as illustrative examples to demonstrate the effectiveness of the design.

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Combination-Combination Projective Synchronization of Multiple Chaotic Systems Using Sliding Mode Control

Advances in Mathematical Physics ◽

10.1155/2018/2031942 ◽

2018 ◽

Vol 2018 ◽

pp. 1-10 ◽

Cited By ~ 1

Author(s):

Junwei Sun ◽

Nan Li ◽

Jie Fang

Keyword(s):

Sliding Mode Control ◽

Chaotic Systems ◽

Sliding Mode ◽

Projective Synchronization ◽

Control Technique ◽

Mode Control ◽

Adaptive Laws ◽

Different Chaotic Systems ◽

Synchronization Scheme ◽

Multiple Chaotic Systems

Based on projective synchronization and combination synchronization model, a type of combination-combination projective synchronization is realized via nonsingular sliding mode control technique for multiple different chaotic systems. Concretely, on the basic of the adaptive laws and stability theory, the corresponding sliding mode control surfaces and controllers are designed to achieve the combination-combination projective synchronization between the combination of two chaotic systems as drive system and the combination of multiple chaotic systems as response system with disturbances. Some criteria and corollaries are derived for combination-combination projective synchronization of the multiple different chaotic systems. Finally, the numerical simulation results are presented to demonstrate the effectiveness and correctness of the synchronization scheme.

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Robust pre-specified time synchronization of chaotic systems by employing time-varying switching surfaces in the sliding mode control scheme

Chinese Physics B ◽

10.1088/1674-1056/25/8/080501 ◽

2016 ◽

Vol 25 (8) ◽

pp. 080501

Author(s):

Alireza Khanzadeh ◽

Mahdi Pourgholi

Keyword(s):

Sliding Mode Control ◽

Chaotic Systems ◽

Time Synchronization ◽

Sliding Mode ◽

Time Varying ◽

Mode Control ◽

Control Scheme

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Nonsingular Integral-Type Dynamic Finite-Time Synchronization for Hyper-Chaotic Systems

Mathematics ◽

10.3390/math10010115 ◽

2021 ◽

Vol 10 (1) ◽

pp. 115

Author(s):

Khalid A. Alattas ◽

Javad Mostafaee ◽

Aceng Sambas ◽

Abdullah K. Alanazi ◽

Saleh Mobayen ◽

...

Keyword(s):

Sliding Mode Control ◽

Chaotic System ◽

Chaotic Systems ◽

Time Synchronization ◽

Control Method ◽

Sliding Mode ◽

Control Procedure ◽

Integral Type ◽

Mode Control ◽

Control Scheme

In this study, the synchronization problem of chaotic systems using integral-type sliding mode control for a category of hyper-chaotic systems is considered. The proposed control method can be used for an extensive range of identical/non-identical master-slave structures. Then, an integral-type dynamic sliding mode control scheme is planned to synchronize the hyper-chaotic systems. Using the Lyapunov stability theorem, the recommended control procedure guarantees that the master-slave hyper-chaotic systems are synchronized in the existence of uncertainty as quickly as possible. Next, in order to prove the new proposed controller, the master-slave synchronization goal is addressed by using a new six-dimensional hyper-chaotic system. It is exposed that the synchronization errors are completely compensated for by the new control scheme which has a better response compared to a similar controller. The analog electronic circuit of the new hyper-chaotic system using MultiSIM is provided. Finally, all simulation results are provided using MATLAB/Simulink software to confirm the success of the planned control method.

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