On generation of virtual outputs via signal injection: Application to observer design for electromechanical systems

Bowen Yi (1) , Romeo Ortega (2) , Houria Siguerdidjane (2) , J. Machado (2) , Weidong Zhang (3)

1 Shanghai Jiao Tong University [Shanghai]
2 L2S - Laboratoire des signaux et systèmes
3 Peng Cheng Laboratory

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., [9], 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.

Mots clés: Signal Injection; Observer Design; Nonlinear Systems; Electromechanical Systems

Domaines: Sciences de l'ingénieur [physics]; Automatique / Robotique

Bowen Yi, Romeo Ortega, Houria Siguerdidjane, J. Machado, Weidong Zhang. On generation of virtual outputs via signal injection: Application to observer design for electromechanical systems. European Journal of Control, 2020, 54, pp.129-139. ⟨10.1016/j.ejcon.2019.11.005⟩. ⟨hal-02497600⟩