Observer Design for a Lorenz Oscillator

Abstract

This article addresses the design problem of observers for the oscillator, focusing on the nonlinearities present in the model, which arise from the product between components of the state vector. These nonlinearities are particularly interesting because they allow obtaining an error dynamics that can be used to study the convergence properties of the observation scheme. In this sense, the design of a full-order observer is proposed, which is characterized by being a replica of the original system, with the addition of a correction term. Additionally, a numerical evaluation of the presented results is performed.