Skip to Main content Skip to Navigation
Journal articles

Hybrid dynamical systems with hybrid inputs: Definition of solutions and applications to interconnections

Abstract : In this paper, we define solutions for hybrid systems with prespecified hybrid inputs. Unlike previous work where solutions and inputs are assumed to be defined on the same domain a priori, we consider the case where intervals of flow and jump times of the input are not necessarily synchronized with those of the state trajectory. This happens in particular when the input is the output of another hybrid system, for instance, in the context of observer design or reference tracking. The proposed approach relies on reparametrizing the jumps of the input in order to write it on a common domain. The solutions then consist of a pair made of the state trajectory and the reparametrized input. Our definition generalizes the notions of solutions of continuous‐time and discrete‐time systems with inputs. We provide an algorithm that automatically performs the construction of solutions for a given hybrid input. In the context of hybrid interconnections, we show how the solutions of the individual systems can be linked to the solutions of a closed‐loop system. Example illustrate the notions and the proposed algorithm.
Document type :
Journal articles
Complete list of metadata
Contributor : François Chaplais Connect in order to contact the contributor
Submitted on : Monday, January 6, 2020 - 2:56:09 PM
Last modification on : Wednesday, November 17, 2021 - 12:31:07 PM

Links full text



Pauline Bernard, Ricardo Sanfelice. Hybrid dynamical systems with hybrid inputs: Definition of solutions and applications to interconnections. International Journal of Robust and Nonlinear Control, Wiley, 2019, ⟨10.1002/rnc.4756⟩. ⟨hal-02429206⟩



Les métriques sont temporairement indisponibles