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Extended state observer for uncertain lower triangular nonlinear systems subject to stochastic disturbance

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Abstract

The extended state observer (ESO) is the most important part of an emerging control technology known as active disturbance rejection control to this day, aiming at estimating “total disturbance” from observable measured output. In this paper, we construct a nonlinear ESO for a class of uncertain lower triangular nonlinear systems with stochastic disturbance and show its convergence, where the total disturbance includes internal uncertain nonlinear part and external stochastic disturbance. The numerical experiments are carried out to illustrate effectiveness of the proposed approach.

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Authors and Affiliations

  1. Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Bei**g, 100190, China

    Zehao Wu & Baozhu Guo

Authors
  1. Zehao Wu
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  2. Baozhu Guo
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Corresponding author

Correspondence to Zehao Wu.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 61273129).

Zehao WU was born in Guangdong, China, in 1988. He received his B.Sc. degree in Mathematics from Guangdong Polytechnic Normal University, Guangzhou, China, in 2011, and M.Sc. degree in Mathematics from **amen University, **amen, China, in 2014. He is currently pursuing the Ph.D. degree at the Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Bei**g. His research interests include stochastic systems control and distributed parameter systems control. E-mail: zehaowu@ amss.ac.cn.

Baozhu GUO received the Ph.D. degree from the Chinese University of Hong Kong in applied mathematics in 1991. From 1985 to 1987, he was a Research Assistant at Bei**g Institute of Information and Control, China. During the period 1993–2000, he was with the Bei**g Institute of Technology, first as an associate professor (1993–1998) and subsequently a professor (1998–2000). Since 2000, he has been with the Academy of Mathematics and Systems Science, the Chinese Academy of Sciences, where he is a research professor in Mathematical System Theory. His research interests include the theory of control and application of infinite-dimensional systems. E-mail: bzguo@iss.ac.cn.

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Wu, Z., Guo, B. Extended state observer for uncertain lower triangular nonlinear systems subject to stochastic disturbance. Control Theory Technol. 14, 179–188 (2016). https://doi.org/10.1007/s11768-016-6019-4

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  • DOI: https://doi.org/10.1007/s11768-016-6019-4

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