A Generalized Cubic Observer for State Estimation of Linear Systems

TL;DR

This paper introduces a generalized cubic observer for linear systems that improves state estimation accuracy, especially in the presence of unknown inputs and delays, offering better performance than traditional linear observers.

Contribution

It extends the cubic observer framework to handle delays and unknown inputs in linear systems, providing new design criteria and demonstrating performance benefits.

Findings

The generalized cubic observer achieves better convergence than linear observers.

Simulation results confirm improved state estimation accuracy.

The method effectively handles delays and unknown inputs.

Abstract

This paper extends the application of a recently proposed nonlinear observer (cubic observer) for state estimation of linear systems with unknown inputs and delays. The generalized structure proposed here, makes it possible to establish a performance advantage over a similar linear observer. Convergence criteria, performance advantages, unknown input cubic observer and observer design for delayed linear systems are discussed. A simulation example are given as well.