Linear Function Observers for Linear Time-Varying Systems With Time-Delay: A Parametric Approach

IEEE Access

Jun Yang¹  Da-Ke Gu²  Quan-Zhi Liu² 

[1] Electric Power Research Institute, State Grid Qinghai Electric Power Company, Xining, China;School of Automation Engineering, Northeast Electric Power University, Jilin, China;

关键词: Functional observers;    LTV systems with time-delay;    parametric method;    Sylvester equation;   

DOI  :  10.1109/ACCESS.2020.2967813

来源: DOAJ

【 摘 要 】

In this paper, a parametric approach to design a Luenberger functional observer for linear time-varying (LTV) systems with time-delay is investigated. Based on the solution to generalized Sylvester equation (GSE), the complete general parametric expressions for the functional observer gain matrices are established with the time-varying coefficient matrices, the time-varying closed-loop system and a group of arbitrary parameters. With the parametric method, the observation error system can be transformed into a linear system with the expected eigenstructure. Finally, a numerical simulation is provided to illustrate the effectiveness of the parametric approach.

【 授权许可】

Unknown