Luenberger-type cubic observers for state estimation of linear systems

摘要

This article introduces a new nonlinear observer for state estimation of linear time invariant systems. The proposed observer contains a (nonlinear) cubic term to enhance observer response. Unlike previously proposed observers, the cubic observer has nonlinear estimation error dynamics. Convergence criteria, performance advantages, and observer-based feedback control with cubic observers are addressed. Simulation examples demonstrating performance improvement compared with linear observers, are included.