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.

Vibration Control of a Translating Beam With an Active Control Strategy on the Basis of the Fuzzy Sliding Mode Control

2013 ◽  
Author(s):  
Liming Dai ◽  
Lin Sun
Keyword(s):  
Sliding Mode Control ◽  
Vibration Control ◽  
Active Control ◽  
Control Strategy ◽  
Sliding Mode ◽  
Nonlinear Dynamic System ◽  
Fuzzy Sliding Mode Control ◽  
Mode Control ◽  
Fuzzy Sliding Mode ◽  
Active Control Strategy

An active control strategy is developed for nonlinear vibration control of an axially translating beam applied in engineering field. The control strategy is established on the basis of Fuzzy Sliding Mode Control. The nonlinear model governing the beam system is described with a six-degree nonlinear dynamic system. Corresponding to the multi-degree nonlinear system, the active control strategy is developed. The proposed control strategy is proven to be effective in controlling and stabilizing the nonlinear motions especially chaotic motion of the beam.

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
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