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Output Feedback Stabilization for a Class of Cascade Nonlinear ODEPDE Systems

Yanjie Chang, Tongjun Sun, Xianfu Zhang*, and Xiandong Chen
International Journal of Control, Automation, and Systems, vol. 19, no. 7, pp.2519-2528, 2021

Abstract : In this paper, the output feedback stabilization problem is studied for a class of cascade nonlinear ODEPDE systems. The nonlinear terms of ODE-subsystem are assumed to be bounded by a known constant multiplied by unmeasured states, and PDE-subsystem is a diffusion equation. Especially, the unstable diffusion equation is considered. Based on the low gain observer and a series of transformations, the output feedback stabilization problem is converted into designing proper gain parameters. Furthermore, the stability of the closed-loop system is analyzed by Lyapunov theorem. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed control strategy.

Keyword : Cascade ODE-PDE systems, low gain observer, Lyapunov functional, output feedback.

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