In this paper we address the problem of state observation of linear time-varying (LTV) systems with delayed measurements, which has attracted the attention of many researchers—see Sanz et al. (2019) and references therein. We show that, the parameter estimation-based observer (PEBO) design proposed in Ortega et al., 2021, Ortega et al., 2015 provides a very simple solution to the problem with reduced prior knowledge. Moreover, when PEBO is combined with the dynamic regressor extension and mixing (DREM) estimation technique (Aranovskiy et al., 2017, Ortega et al., 2019), the estimated state converges in fixed-time with extremely weak excitation assumptions.

在本文中，我们解决了具有时延测量的线性时变（LTV）系统的状态观测问题，引起了许多研究人员的关注-参见Sanz等。（2019）及其中的参考文献。我们表明，Ortega等人在2021年，Ortega等人在2015年提出的基于参数估计的观察者（PEBO）设计提供了一个非常简单的解决方案，具有减少的先验知识。此外，当PEBO与动态回归扩展和混合（DREM）估计技术结合使用时（ Aranovskiy等人，2017年; Ortega等人，2019年），估计状态在固定时间收敛，且激发假设极弱。