Operational Models for Piecewise-Smooth Systems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles ACM Transactions on Embedded Computing Systems (TECS) Year : 2017

Operational Models for Piecewise-Smooth Systems


This paper studies ways of constructing meaningful operational models of piecewise-smooth systems (PWS). The systems we consider are described by polynomial vector fields defined on non-overlapping semi-algebraic sets, which form a partition of the state space. Our approach is to give meaning to motion in systems of this type by automatically synthesizing operational models in the form of hybrid automata (HA). Despite appearances, it is in practice often difficult to arrive at satisfactory HA models of PWS. The different ways of building operational models that we explore in our approach can be thought of as defining different semantics for the underlying PWS. These differences have a number of interesting nuances related to phenomena such as chattering, non-determinism, so-called mythical modes and sliding behaviour.
Fichier principal
Vignette du fichier
op-semantics_emsoft17.pdf (1.03 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01658196 , version 1 (11-12-2017)



Andrew Sogokon, Khalil Ghorbal, Taylor T Johnson. Operational Models for Piecewise-Smooth Systems. ACM Transactions on Embedded Computing Systems (TECS), 2017, 16 (5s), pp.185:1--185:19. ⟨10.1145/3126506⟩. ⟨hal-01658196⟩
315 View
195 Download



Gmail Facebook X LinkedIn More