Modified Function Projective Synchronization of a Classic Chaotic Systems with Unknown Disturbances Based on Adaptive Integral Sliding Mode Control

2013 ◽  
Author(s):  
Deng Wei ◽  
Wang Hong ◽  
Fang Jie ◽  
Wu Zhen-Jun
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Projective Synchronization ◽  
Integral Sliding Mode Control ◽  
Integral Sliding Mode ◽  
Function Projective Synchronization ◽  
Mode Control ◽  
Modified Function Projective Synchronization ◽  
Unknown Disturbances

scholarly journals Parameter Identification and Hybrid Synchronization in an Array of Coupled Chaotic Systems with Ring Connection: An Adaptive Integral Sliding Mode Approach

2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Nazam Siddique ◽  
Fazal ur Rehman
Keyword(s):  
Sliding Mode Control ◽  
Parameter Identification ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Design Method ◽  
Integral Sliding Mode Control ◽  
Integral Sliding Mode ◽  
Mode Control ◽  
Error System ◽  
Hybrid Synchronization

This article presents an adaptive integral sliding mode control (SMC) design method for parameter identification and hybrid synchronization of chaotic systems connected in ring topology. To employ the adaptive integral sliding mode control, the error system is transformed into a special structure containing nominal part and some unknown terms. The unknown terms are computed adaptively. Then the error system is stabilized using integral sliding mode control. The controller of the error system is created that contains both the nominal control and the compensator control. The adapted laws and compensator controller are derived using Lyapunov stability theory. The effectiveness of the proposed technique is validated through numerical examples.

scholarly journals Predefined-Time Modified Function Projective Synchronization for Multiscroll Chaotic Systems via Sliding Mode Control Technology

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Qiaoping Li ◽  
Chao Yue
Keyword(s):  
Sliding Mode Control ◽  
Time Synchronization ◽  
Sliding Mode ◽  
Projective Synchronization ◽  
Hyperchaotic System ◽  
Control Technology ◽  
Function Projective Synchronization ◽  
Mode Control ◽  
Modified Function Projective Synchronization ◽  
Error System

In the context of chaotic secure communication and based on the sliding mode control technology, this article investigates the predefined-time modified function projective synchronization for the Colpitts oscillator multiscroll hyperchaotic systems. Firstly, a four-dimensional multiscroll hyperchaotic system is introduced and the predefined-time synchronization is defined. Subsequently, applying a novel predefined-time stability criterion, an integral terminal sliding mode surface is constructed for the synchronization error system to ensure that the sliding motion is stable within a predefined time; meanwhile, an approaching controller is designed to enable the error system to reach and remain on the sliding mode surface within another predefined time, so as to ensure the realization of the predefined-time synchronization. Finally, the simulation experiments are presented to verify the effectiveness of derived theoretical results.

scholarly journals An Integral Sliding Mode Control of Uncertain Chaotic Systems via Disturbance Observer

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Hua Zhang
Keyword(s):  
Sliding Mode Control ◽  
Disturbance Observer ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Estimation Error ◽  
Nonlinear Function ◽  
Integral Sliding Mode Control ◽  
Integral Sliding Mode ◽  
Mode Control ◽  
Uncertain Chaotic Systems

This paper proposes an integral sliding mode control (ISMC) method of a class of uncertain chaotic systems with saturation inputs. Firstly, fuzzy logic system (FLS) is used to estimate the unknown nonlinear function. Then, a disturbance observer is constructed to estimate a compound disturbance, which contains the external disturbance, the error of saturation input and control output, and the fuzzy estimation error. Subsequently, a proposed integral sliding mode controller can ensure that all signals of the closed-loop system are ultimately bounded, and based on the dynamic system of the integral sliding mode variable itself, the ultimate bound of the tracking error can be estimated. Simulation results show that the proposed ISMC method is more effective than the traditional ISMC method.

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