J Shanghai Jiaotong Univ Sci ›› 2022, Vol. 27 ›› Issue (6): 817-822.doi: 10.1007/s12204-020-2252-6

• Aeronautics and Astronautics • Previous Articles     Next Articles

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

YANG Ming1 (杨 明), HUANG Jun1∗ (黄 俊), ZHANG Wei2 (章 伟)   

  1. (1. School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215131, China; 2. Laboratory of Intelligent Control and Robotics, Shanghai University of Engineering Science, Shanghai 201620, China)
  • Received:2019-10-30 Online:2022-11-28 Published:2022-10-13

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.

Key words: control systems, one-sided Lipschitz (OSL) systems, full-order observers, reduced-order observers

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