发表机构
Chair of Systems Theory and Control Engineering, Otto von Guericke University Magdeburg（奥托·冯·格里克马格德堡大学系统理论与控制工程讲席）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对严格前馈型抛物型PDE-ODE系统提出连续反步观测器设计，该设计与同类型系统的多步状态反馈设计对偶，可将误差动力学转化为指数稳定的级联子系统。
AI 中文摘要
本文针对严格前馈型抛物型PDE-ODE系统提出了连续反步观测器设计，其耦合结构决定了误差镇定的顺序及对应的变换。首先，基于虚拟测量的变换镇定了离测量最远的ODE观测器误差子系统，同时将其与PDE误差状态解耦；其次，采用Volterra积分变换镇定PDE误差子系统，并将整体误差动力学映射为指数稳定的ODE与PDE子系统的级联。该设计被证明与近期提出的严格前馈型抛物型PDE-ODE系统的多步状态反馈设计对偶，从而解释了所提观测器设计的结构。
英文摘要
The paper introduces a successive backstepping observer design for strictly feedforward parabolic PDE-ODE systems, in which the coupling structure determines the order of error stabilization and the corresponding transformations. First, a transformation based on a virtual measurement stabilizes the ODE observer error subsystem, which is most distal from the measurement, while decoupling it from the PDE error state. Second, a Volterra integral transformation is employed to stabilize the PDE error subsystem and to map the overall error dynamics into a cascade of exponentially stable ODE and PDE subsystems. The design is shown to be dual to a recently proposed multi-step state feedback design for parabolic PDE-ODE systems in strict feedback form, thus explaining the structure of the presented observer design.
Commentsaccepted for 65th IEEE Conference on Decision and Control (CDC 2026)
