On Generation of Virtual Outputs via Signal Injection: Application to Observer Design for Electromechanical Systems

TL;DR

This paper introduces a new filter for signal injection-based virtual output generation, improving state observation in electromechanical systems through theoretical guarantees, validated by simulations and experiments.

Contribution

A novel filter with guaranteed convergence is proposed, enhancing virtual output reconstruction for electromechanical systems using signal injection techniques.

Findings

The new filter outperforms classical designs in accuracy.

The approach is validated through simulations and experiments.

Effective for a 1-dof magnetic levitation system.

Abstract

Probing signal injection is a well-established technique to extract additional information from a weakly (or non) observable dynamical system. Using averaging theory, a framework to analyse such schemes for general nonlinear systems has been recently proposed in [Combes et. al., 2016], where it is shown that the signal injection may be used to generate a new high frequency component of the systems output that can be used for state observation or controller design. A key step for the success of this technique is the implementation of a filter to reconstruct this virtual output from the measurement of the overall systems output. The main contribution of this paper is to propose a new filter with guaranteed convergence properties that outperforms the classical designs. The method is applied to a general class of electromechanical systems, and its performance is assessed via simulations and experiments on the benchmark example of a 1-dof magnetic levitation system.