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Further Result on the Observer Design for One-Sided Lipschitz Systems

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Abstract

This paper investigates the problem of observer design for a class of control systems. Different from current works, the nonlinear functions in the system only satisfy the property of the one-sided Lipschitz (OSL) condition but not quadratic inner-boundedness (QIB). Moreover, the case where the OSL constant is negative is specially investigated. Firstly, a full-order observer is constructed for the original system. Then, a reduced-order observer is also designed by using the decomposition method. The advantage and effectiveness of the proposed design scheme are shown in a numerical simulation.

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Authors and Affiliations

  1. School of Mechanical and Electrical Engineering, Soochow University, Suzhou, 215131, China

    Ming Yang  (杨明) & Jun Huang  (黄俊)

  2. Laboratory of Intelligent Control and Robotics, Shanghai University of Engineering Science, Shanghai, 201620, China

    Wei Zhang  (章伟)

Authors
  1. Ming Yang  (杨明)
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  2. Jun Huang  (黄俊)
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  3. Wei Zhang  (章伟)
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Corresponding author

Correspondence to Jun Huang  (黄俊).

Additional information

Foundation item: the National Natural Science Foundation of China (No. 61403267), and the China Postdoctoral Science Foundation (No. 2017M611903)

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Yang, M., Huang, J. & Zhang, W. Further Result on the Observer Design for One-Sided Lipschitz Systems. J. Shanghai Jiaotong Univ. (Sci.) 27, 817–822 (2022). https://doi.org/10.1007/s12204-020-2252-6

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  • DOI: https://doi.org/10.1007/s12204-020-2252-6

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