Distributed Nonlinear Observer with Robust Performance - A Circle Criterion Approach

TL;DR

This paper introduces a distributed approach to nonlinear system observation using a circle criterion, leveraging a local LMI-based KYP-Lemma to design estimators that collectively estimate systems with sector-bounded nonlinearities.

Contribution

It develops a distributed KYP-Lemma framework and constructs distributed circle criterion estimators for interconnected nonlinear systems, enhancing estimation robustness.

Findings

Distributed estimators successfully estimate nonlinear systems

Local LMI conditions simplify the design process

Enhanced robustness in distributed nonlinear system estimation

Abstract

In this paper, we present a distributed version of the KYP-Lemma with the goal to express the strictly positive real-property for a class of physically interconnected systems by a set of local LMI-conditions. The resulting conditions are subsequently used to constructively design distributed circle criterion estimators, which are able to collectively estimate an underlying linear system with a sector bounded nonlinearity.