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Control synthesis for a class of nonlinear systems based on partition of unity

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Abstract

A partition-of-unity-based approach is proposed to derive an approximate model for a class of nonlinear systems. The precision of the approximate model is analyzed by using the modulus of continuity of continuous functions. The system stability of the approximate model is analyzed by using Lyapunov stability theory. A design algorithm for constructing tracking controllers with tracking performance related to tracking error is given based on the approximate model and the partition of unity method.

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Authors and Affiliations

  1. Science College, Shantou University, Shantou, Guangdong, 515063, China

    Dongfang Han & Yinhe Wang

  2. College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110006, China

    Siying Zhang

Authors
  1. Dongfang Han
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  2. Yinhe Wang
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  3. Siying Zhang
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Additional information

This work was supported by the National Natural Science Foundation of Guangdong Province (No.032035).

Dongfang HAN was born in Wuhan, China, in 1979. He received the M.S. in mathematics from Shantou University, Shantou, in 2005. He is currently a Ph.D. candidate at the same university. His research interests include nonlinear control systems and robust control.

Yinhe WANG was born in Inner Mongolia, China, in 1962. He received the M.S. degree in mathematics from Sichuan Normal University, China, in 1990 and the Ph.D. degree in control theory and engineering from Northeast University, China, in 1999, respectively. From 2000 to 2002, he was a post-doctor in the Department of Automatic Control, Northwestern Polytechnic University, China. His research interests include nonlinear systems, adaptive and robust control.

Siying ZHANG is a professor in the Department of Automatic Control of Northeast University, China, a member of the Chinese Academy of Science. He was born in Shandong Province, China. He received the Bachelor’s degree in mechanics and mathematics, Wuhan University, China, in 1948. From 1957 to 1959, he was a visiting scientist at the faculty of mechanics and mathematics, Moscow University, Russia. He was awarded the National Natural Science Award in 1987 and the Natural Science and Technology Award from the State Education Commission in 1992 and in 1995, respectively. He was engaged in the research on the differential games. Since 1987, he has been engaged in the structure analysis and control of the complex systems with symmetry and similarity.

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Han, D., Wang, Y. & Zhang, S. Control synthesis for a class of nonlinear systems based on partition of unity. J. Control Theory Appl. 5, 145–151 (2007). https://doi.org/10.1007/s11768-006-6087-y

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  • DOI: https://doi.org/10.1007/s11768-006-6087-y

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