Homogeneous Distributed Observers for Quasilinear Systems

TL;DR

This paper introduces a strongly connected distributed observer for quasilinear systems that achieves finite or fixed-time state estimation under certain conditions, validated through numerical simulations.

Contribution

It presents a novel distributed observer design for quasilinear systems that guarantees finite/fixed-time stability using LMIs and global observability assumptions.

Findings

Observer error achieves finite/fixed-time stability

Design ensures input-to-state stability with perturbations

Numerical simulations validate the proposed approach

Abstract

The problem of finite/fixed-time cooperative state estimation is considered for a class of quasilinear systems with nonlinearities satisfying a H\"older condition. A strongly connected nonlinear distributed observer is designed under the assumption of global observability. By proper parameter tuning with linear matrix inequalities, the observer error equation possesses finite/fixed-time stability in the perturbation-free case and input-to-state stability with respect to bounded perturbations. Numerical simulations are performed to validate this design.