Impulsive high-gain observer for nonlinear systems to reduce peaking phenomenon

Iman Dehbozorgi and Alireza Khayatian

International Journal of Systems Science, 2025, vol. 56, issue 9, 1986-2000

Abstract: In this paper, an Impulsive High-Gain Observer (IHGO) for the nonlinear system in the normal form is designed to deal with high-gain observer limitations, including the peaking phenomenon. A technique based on approximation of the derivative of the estimation error for impulse time and after impulse value design is developed. An open-loop observer is utilised to estimate the derivative of the estimation error norm. The stability of the estimation error of the IHGO is discussed, and an upper bound for the estimation error is presented, which depends on the after impulse value of IHGO. Finally, the performance of proposed impulsive high-gain observers is evaluated by simulating different examples. It is shown that the proposed impulsive high-gain observer can reduce the peaking phenomenon significantly and outperform other hybrid high-gain observers.

Date: 2025
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DOI: 10.1080/00207721.2024.2436641

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