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Output Feedback Stabilization for a Class of Cascade Nonlinear ODEPDE Systems
Yanjie Chang,Tongjun Sun,Xianfu Zhang,Xiandong Chen 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.7
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.