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Adaptive synchronization on uncertain dynamics of high-order nonlinear multi-agent systems with partition of unity approach

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  • Control Theory
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Abstract

An adaptive synchronization of uncertain chaotic system is presented using partition of unity method. First, the uncertainties of chaotic systems are approximate by the linear combination of partition of unity. Subsequently, the sliding mode adaptive controllers are proposed for synchronization of the uncertain chaotic systems. The proposed approach offers a systematic design procedure for adaptive synchronization of a class of uncertain chaotic system in the chaos research literature. We also illustrate examples of chaotic systems such as Chen and Lorenz chaotic systems to show the effectiveness of the approach.

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Authors and Affiliations

  1. College of Mathematics and Information Science, Shaoguan University, Shaoguan, 512000, China

    Liang Luo & Siqing Deng

  2. Faculty of Automation, Guangdong University of Technology, Guangzhou, 510006, China

    Yinhe Wang

Authors
  1. Liang Luo
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  2. Yinhe Wang
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  3. Siqing Deng
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Corresponding author

Correspondence to Liang Luo.

Additional information

Recommended by Associate Editor Choon Ki Ahn under the direction of Editor Zengqi Sun.

This work is supported by the National Natural Science Foundation of China (No. 61273219 and No.61305036) and the Natural Science Foundation for the Doctoral Program of Guangdong Province (No. S2013040013503).

Liang Luo received her M.S. and Ph.D. degrees from the Faculty of Applied Mathematics and the Faculty of Automation at Guangdong University of Technology, Guangzhou, China, in 2008 and 2011, respectively. She is currently a lecturer with college of mathematics and information science, Shaoguan University, Shaoguan, Guangdong, China. Her research interests include nonlinear systems and adaptive robust control.

Yinhe Wang received his M.S. degree in Mathematics from Sichuan Normal University, Chengdu, P. R. China, in 1990, and his Ph.D. degree in Control Theory and Engineering from Northeastern University, Shenyang, P. R. China, in 1999. From 2000 to 2002, he was a Post-doctor in Department of Automatic control, Northwestern Polytechnic University, Xi’an, P. R. China. From 2005 to 2006, he was a visiting scholar at Department of Electrical Engineering, Lakehead University, Canada. He is currently a Professor with the Faculty of Automation, Guangdong University of Technology, Guangzhou, China. His research interests include fuzzy adaptive robust control, analysis for nonlinear systems and complex dynamical networks.

Siqing Deng received his M.S. degree from the Faculty of Fundamental Mathematics and the Faculty of Mathematics and Computer at Hunan Normal University, Changsha, China, in 2008. He is currently a professor with the College of Mathematics and Information science, Shaoguan University, Shaoguan, Guangdong, China. His research interests include numerical approximation and computer aided geometric design.

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Luo, L., Wang, Y. & Deng, S. Adaptive synchronization on uncertain dynamics of high-order nonlinear multi-agent systems with partition of unity approach. Int. J. Control Autom. Syst. 12, 259–264 (2014). https://doi.org/10.1007/s12555-013-0421-1

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  • DOI: https://doi.org/10.1007/s12555-013-0421-1

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