Flatness-based Hybrid System Modeling – A trajectory perspective on hybrid dynamics

Frederik Zahn

Karlsruhe Institute of Technology (KIT)

Tuesday, January 16, 2024, 11:00 - 11:59

SR 01-012

Sorry, this event is cancelled due to illness.

Most technical systems contain some form of discrete control elements or operation modes, besides their continuous dynamics. These systems can generally be modeled as hybrid systems. In control theory, however, these discrete parts are often neglected or smoothed, in order to apply the numerous tools and theorems available for continuous systems.  A general problem of hybrid system models is their complexity. In our ongoing research, we aim at developing a new hybrid system class, by applying the concept of differential flatness to hybrid automata. The basis of the flatness theory is a trajectory perspective on dynamical systems. In my talk, I will present this theory approach for the model class of hybrid automata. In order to apply control algorithms to such systems, I introduce a novel set of properties for hybrid automata. I also show how our framework can be used for hybrid system control and optimization in different technical domains.