State Observation of LTV Systems with Delayed Measurements: A Parameter Estimation-based Approach with Fixed Convergence Time

Alexey Bobtsov (1, 2) , Nikolay Nikolaev (1) , Romeo Ortega (3, 1) , Denis Efimov (4)

1 ITMO University [Russia]
2 HDU - Hangzhou Dianzi University
3 ITAM - Instituto Tecnológico Autónomo de México
4 VALSE - Finite-time control and estimation for distributed systems

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 [9] and references therein. We show that, the parameter estimationbased observer (PEBO) design proposed in [4,5] 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 [1,6], the estimated state converges in fixed-time with extremely weak excitation assumptions.

Mots clés: Linear time-varying systems; state observer; delay systems; parameter estimation

Domaines: Automatique / Robotique

Alexey Bobtsov, Nikolay Nikolaev, Romeo Ortega, Denis Efimov. State Observation of LTV Systems with Delayed Measurements: A Parameter Estimation-based Approach with Fixed Convergence Time. Automatica, inPress. ⟨hal-03174995v1⟩