Impulsive Synchronization of Hyperchaotic L&amp;#252; Systems with Two Methods

Wang, Mingjun

doi:10.4236/ijmnta.2015.41001

Cited by 5 publications

(1 citation statement)

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“…In recent years, hyper chaotic Lu system has been investigated in terms of chaos control and synchronization. For instance, Vaidyanathan explored synchronization with adaptive control (Vaidyanathan, 2013), where the problem of synchronizing two hyper chaotic Lu systems with an adaptive controller was investigated, Ahmad et al (2015) presented a discussion on synchronizing chaotic/ hyper chaotic Lu systems with different order under-actuated active control strategy, and others investigated impulse synchronization (Ahmad et al, 2016;Wang, 2015;Zhao et al, 2012).…”

Section: Introductionmentioning

confidence: 99%

Parameter estimation and synchronization of hyper chaotic Lu system with disturbance input and uncertainty using two under-actuated control signals

Sabaghian

Balochian

2018

Transactions of the Institute of Measurement and Control

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In this paper, synchronization of two hyper chaotic Lu systems with unknown factors, such as uncertainty and disturbance, and less control signals with respect to system’s dimensions by applying an adaptive sliding mode controller is presented. In this research, firstly, an integral sliding mode controller is designed for synchronization of two hyper chaotic Lu systems with known parameters. Secondly, a controller is used to synchronize two hyper chaotic Lu systems with unknown parameters; in this case, unknown parameters are estimated using an adaptive rule. As a measure of performance, stability of the proposed control method is proved using the Lyapunov stability method. Numerical simulations validate the stabilization and synchronization.

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