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Global robust stabilization of feedforward systems with uncertainties

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Abstract

This paper studies the global robust stabilization problem for a class of feedforward systems that is subject to both dynamic and time-varying static uncertainties. A small gain theorem-based bottom-up recursive design is developed for constructing a nested saturation control law. At each recursion, two versions of small gain theorem with restrictions are employed to establish the global attractiveness and local stability of the closed-loop system at the equilibrium point, respectively.

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Authors and Affiliations

  1. Department of Electrical Engineering, Linköping University, Linköping, Sweden

    Tianshi Chen

  2. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Hong Kong, China

    Jie Huang

Authors
  1. Tianshi Chen
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  2. Jie Huang
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Corresponding author

Correspondence to Tianshi Chen.

Additional information

This work was supported by the Research Grants Council of the Hong Kong Special Administration Region (No.412006). The preliminary version of this paper was presented at the 46th IEEE Conference on Decision and Control, New Orleans, LA, USA, Dec. 12–14, 2007.

Tianshi CHEN received the B.S. degree in 2001, and the M.S. degree in 2005, both from Harbin Institute of Technology, and the Ph.D. degree in 2008 from Chinese University of Hong Kong. He is currently a post doctor at Department of Electrical Engineering, Linköping University, Linköping, Sweden.

Jie HUANG is a professor with Department of Mechanical and Automation Engineering, Chinese University of Hong Kong. His research interests include nonlinear control theory and applications, neural networks, and flight guidance and control.

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Chen, T., Huang, J. Global robust stabilization of feedforward systems with uncertainties. J. Control Theory Appl. 8, 262–270 (2010). https://doi.org/10.1007/s11768-010-0016-9

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  • DOI: https://doi.org/10.1007/s11768-010-0016-9

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