English

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

Systems and Control 2019-11-20 v3

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.

Keywords

Cite

@article{arxiv.1807.10178,
  title  = {On Generation of Virtual Outputs via Signal Injection: Application to Observer Design for Electromechanical Systems},
  author = {Bowen Yi and Romeo Ortega and Houria Siguerdidjane and Juan E. Machado and Weidong Zhang},
  journal= {arXiv preprint arXiv:1807.10178},
  year   = {2019}
}