一类微分代数方程描述系统的观测器设计及未测干扰的参数辨识
Observer Design for a Class of Systems Described by Differential-Algebraic Equations and Parameter Identification of an Unmeasured Disturbance
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中文总结 AI 辅助
研究一类受未知不匹配干扰的线性广义系统的观测器设计与未测干扰参数辨识问题，引入结构假设构建观测器，提出新参数化方法，经数值仿真验证了方法的有效性。
中文摘要 AI 辅助
本文研究受特定未知不匹配干扰影响的一类线性广义系统的观测器设计问题。目标是估计状态向量分量以及未测干扰的未知参数。为此引入结构假设，构建状态向量动态部分的观测器。基于所得状态估计重构干扰信号并辨识其未知参数。针对一类非线性依赖未知参数的干扰输入信号提出新参数化方法，可在相应未知量中获得线性回归。通过数值仿真验证了所提方法的有效性。
英文摘要
This paper addresses the problem of observer design for a class of linear descriptor systems affected by a certain class of unknown unmatched disturbances. The objective is to estimate the components of the state vector, as well as the unknown parameters of the unmeasured disturbance. To solve this problem, structural assumptions are introduced under which an observer for the dynamic part of the state vector is constructed. Then, based on the obtained state estimate, the disturbance signal is reconstructed, and its unknown parameters are identified. A new parameterization method is proposed for a class of disturbance input signals that depend nonlinearly on unknown parameters, making it possible to obtain a linear regression in the corresponding unknowns. Numerical simulations are presented to demonstrate the effectiveness of the proposed procedures.
