Synchronizing Spatiotemporal Chaos via a Composite Disturbance Observer-Based Sliding Mode Control
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-11-19
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The sliding mode control schemes are investigated to synchronize two spatiotemporal chaotic systems, which are two arrays of a large number of coupled chaotic oscillators.
Firstly, sliding mode manifolds with the desired performance are designed.
The asymptotic convergence to the origin of the synchronization errors is also proved.
However, the terms from parameter fluctuations in equivalent controls are usually impossible to be measured directly.
So we regard them as lumped disturbances, but, for practical application, it is difficult to obtain the upper bound of lumped disturbances in advance which often results in a conservative sliding mode control law with large control effort, causing a large amount of chattering.
To reduce the chattering and improve the performance of the system, a disturbance observer is designed to estimate the lumped disturbances.
A composite synchronization controller that consists of a sliding mode feedback part and a feedforward compensation part based on disturbance observer is developed.
The numerical simulation results are presented to show the effectiveness of the proposed methods.
American Psychological Association (APA)
Chen, Congyan& Qiu, Shi. 2014. Synchronizing Spatiotemporal Chaos via a Composite Disturbance Observer-Based Sliding Mode Control. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1046392
Modern Language Association (MLA)
Chen, Congyan& Qiu, Shi. Synchronizing Spatiotemporal Chaos via a Composite Disturbance Observer-Based Sliding Mode Control. Mathematical Problems in Engineering No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1046392
American Medical Association (AMA)
Chen, Congyan& Qiu, Shi. Synchronizing Spatiotemporal Chaos via a Composite Disturbance Observer-Based Sliding Mode Control. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1046392
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1046392