Uncertain Unified Chaotic Systems Control with Input Nonlinearity via Sliding Mode ControlReport as inadecuate

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Mathematical Problems in Engineering - Volume 2016 2016, Article ID 9506795, 9 pages -

Research Article

Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, School of Mathematics and Information Sciences, Henan Normal University, Xinxiang, Henan 453007, China

Department of Computer Science, Guangdong University of Education, Guangzhou, Guangdong 510310, China

Received 1 July 2016; Revised 27 August 2016; Accepted 4 September 2016

Academic Editor: Jesus M. Munoz-Pacheco

Copyright © 2016 Zhi-ping Shen et al. 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.


This paper studies the stabilization problem for a class of unified chaotic systems subject to uncertainties and input nonlinearity. Based on the sliding mode control theory, we present a new method for the sliding mode controller design and the control law algorithm for such systems. In order to achieve the goal of stabilization unified chaotic systems, the presented controller can make the movement starting from any point in the state space reach the sliding mode in limited time and asymptotically reach the origin along the switching surface. Compared with the existing literature, the controller designed in this paper has many advantages, such as small chattering, good stability, and less conservative. The analysis of the motion equation and the simulation results all demonstrate that the method is effective.

Author: Zhi-ping Shen, Jian-dong Xiong, and Yi-lin Wu

Source: https://www.hindawi.com/


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