Adaptive observer for a LTV system with partially unknown state matrix and delayed measurements

TL;DR

This paper develops an adaptive observer for linear time-varying systems with unknown parameters and delayed measurements, enabling simultaneous state and parameter estimation despite measurement delays.

Contribution

It introduces a novel adaptive identification algorithm that reconstructs unknown states and parameters in LTV systems with measurement delays.

Findings

Successful reconstruction of unknown states and parameters

Effective handling of measurement delays

Extension of existing adaptive observer frameworks

Abstract

Problem of adaptive state observer synthesis for linear time-varying (LTV) system with unknown time-varying parameter and delayed output measurements is considered. State observation problem has attracted the attention of many researchers $[4]$. In this paper the results proposed in the $[2]$, $[9]$, $[10]$ are developed. It is supposed that the state matrix can be represented as sum of known and unknown parts. Output vector is measured with known constant delay. An adaptive identification algorithm which reconstructs unknown state and unknown time varying parameter is proposed.