Adaptive observer for a coupled ODE-wave PDE system

Bao-Zhu Guo, Zheng-Qiang Tan and Ren-Xi Zhao

International Journal of Systems Science, 2025, vol. 56, issue 12, 2945-2957

Abstract: In this paper, we consider observer design for an ODE-PDE cascade system with unknown parameter vectors to estimate state and unknown parameters simultaneously. In this cascade system, the output of the ODE system which models the plant dynamics drives the PDE system which is governed by a wave equation and models the sensor dynamics. This case is much more complicated than the existing ones because the sensor is governed by a wave PDE. The existence and uniqueness of the solution for the adaptive observer, along with the stability of the error system, are firmly established.

Date: 2025
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DOI: 10.1080/00207721.2025.2466051

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