Finite dimensional observer design for a class of ODE-PDE systems with delayed coupling

IF 2.5 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2025-08-11 DOI:10.1016/j.sysconle.2025.106213

Tarek Ahmed-Ali , Filippo Cacace

引用次数: 0

Abstract

We study the state estimation problem for a ODE-PDE delayed cascaded coupling. The delayed output of a nonlinear system in triangular form is the boundary condition of a 1-D diffusion PDE at one side and the available measurement is taken at the opposite side. We propose a finite-dimensional observer and prove that under reasonable hypotheses the error can be made arbitrarily small by increasing the size of the observer even when the diffusion PDE is not stable.

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一类时滞耦合ODE-PDE系统的有限维观测器设计

研究了一种ODE-PDE延迟级联耦合的状态估计问题。三角形非线性系统的延迟输出是一维扩散偏微分方程在一侧的边界条件，在另一侧进行可用的测量。我们提出了一个有限维的观测器，并证明了在合理的假设下，即使扩散偏微分方程不稳定，通过增加观测器的尺寸也可以使误差任意小。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Systems & Control Letters 工程技术-运筹学与管理科学

CiteScore

4.60

自引率

3.80%

发文量

144

审稿时长

6 months

期刊介绍： Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.