scholarly journals Hybrid Synchronization of Lü Hyperchaotic System with Disturbances by Sliding Mode Control

2011 ◽  
Vol 15 ◽  
pp. 23-27 ◽  
Author(s):  
Li Qiaoping ◽  
Dong Rui ◽  
Lu Bo
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Hyperchaotic System ◽  
Mode Control ◽  
Hybrid Synchronization

scholarly journals Complex novel 4D memristor hyperchaotic system and its synchronization using adaptive sliding mode control

2018 ◽  
Vol 57 (2) ◽  
pp. 683-694 ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Sundarapandian Vaidyanathan ◽  
Anitha Karthikeyan ◽  
Ashokkumar Srinivasan
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Adaptive Sliding Mode Control ◽  
Hyperchaotic System ◽  
Adaptive Sliding Mode ◽  
Mode Control

scholarly journals Synchronization and Electronic Circuit Application of Hidden Hyperchaos in a Four-Dimensional Self-Exciting Homopolar Disc Dynamo without Equilibria

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Yu Feng ◽  
Zhouchao Wei ◽  
Uğur Erkin Kocamaz ◽  
Akif Akgül ◽  
Irene Moroz
Keyword(s):  
Sliding Mode Control ◽  
Active Control ◽  
Electronic Circuit ◽  
Sliding Mode ◽  
Control Variable ◽  
Three Dimensional ◽  
Hyperchaotic System ◽  
Synchronization Errors ◽  
Mode Control ◽  
Additional Control

We introduce and investigate a four-dimensional hidden hyperchaotic system without equilibria, which is obtained by augmenting the three-dimensional self-exciting homopolar disc dynamo due to Moffatt with an additional control variable. Synchronization of two such coupled disc dynamo models is investigated by active control and sliding mode control methods. Numerical integrations show that sliding mode control provides a better synchronization in time but causes chattering. The solution is obtained by switching to active control when the synchronization errors become very small. In addition, the electronic circuit of the four-dimensional hyperchaotic system has been realized in ORCAD-PSpice and on the oscilloscope by amplitude values, verifying the results from the numerical experiments.

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.

Discrete sliding mode control for hybrid synchronization of continuous Lorenz systems with matched/unmatched disturbances

2017 ◽  
Vol 40 (5) ◽  
pp. 1417-1424 ◽  
Author(s):  
Jun-Juh Yan ◽  
Teh-Lu Liao
Keyword(s):  
Sliding Mode Control ◽  
Chaos Synchronization ◽  
Sliding Mode ◽  
Design Procedure ◽  
Controlled System ◽  
Mode Control ◽  
Sliding Manifold ◽  
Single Controller ◽  
Hybrid Synchronization ◽  
Discrete Sliding Mode Control

This paper is concerned with the hybrid synchronization of master-slave Lorenz systems with uncertainties. A new systematic design procedure to synchronize continuous master-slave Lorenz chaotic systems is proposed by using a discrete sliding mode control (DSMC). In contrast to the previous works, the design of DSMC can be simplified and only a single controller is needed to realize chaos synchronization. The proposed DSMC ensures the occurrence of the sliding mode. When the controlled system is in the sliding manifold, the effect of disturbances including matched and unmatched cases are discussed. The proposed results conclude the synchronization error of controlled master-slave systems with matched disturbances can be fully derived to zero or robustly suppressed in an estimated bound even with unmatched disturbances, which is not addressed in the literature. The numerical simulation results demonstrate the success and effectiveness of the proposed DSMC developed in this paper.

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