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Mathematical Problems in Engineering
Volume 2014, Article ID 693268, 7 pages
http://dx.doi.org/10.1155/2014/693268
Research Article

Synchronizing Spatiotemporal Chaos via a Composite Disturbance Observer-Based Sliding Mode Control

School of Automation, Southeast University, 2 Sipailou, Nanjing 210096, China

Received 20 May 2014; Accepted 27 October 2014; Published 20 November 2014

Academic Editor: Dan Wang

Copyright © 2014 Congyan Chen and Shi Qiu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.