SCO colloquium: Stephan Trenn

Title: About observers of hybrid systems

 

Abstract: I recently reviewed the very nice paper [1] by Pauline Bernard and Ricardo Sanfelice about an observer design for hybrid systems, whose ideas I would like to share with you. I will briefly recall the hybrid systems framework proposed by Goebel, Sanfelice and Teel [2]. Afterwards I will highlight the difficulties in designing an observer for these kind of systems, in particular, when the jump times cannot be observed directly. Then I explain the actual observer design proposed in [1].

 

[1] Pauline Bernard and Ricardo Sanfelice, "Semi-global high-gain hybrid observer for a class of hybrid dynamical systems with unknown jump times," Submitted to Transaction on Automatic Control, full version available at https://hal. archives-ouvertes.fr/hal-03736135, 2022.

 

[2] R. Goebel, R. Sanfelice, and A. Teel, "Hybrid Dynamical Systems: Modeling, Stability and Robustness," Princeton University Press, 2012