A systematic approach to the modelling of thermodynamic systems with phase transitions is presented. It is shown that the dynamics of these systems can be adequately represented within the regional hybrid systems framework. This means that the discrete state changes autonomously at fixed submanifold boundaries. Furthermore, we assume that in each single phase the system's dynamics can be described in terms of equilibrium thermodynamics. This allows for the application of well developed methods from contact geometry. The minimisation of entropy plays a central role in all processes involving energy transformation and storage. So for this class of systems, there is a natural optimal control problem, namely that where the increase of entropy is used as a criterion to be minimised. To illustrate these ideas a hybrid model of a simple thermodynamic system with a liquid-vapour phase transition is presented; the system-theoretic properties of this model are analysed and a hybrid optimal control problem is formulated.

Original languageEnglish
Title of host publicationProceedings - WODES 2010
Subtitle of host publication10th International Workshop on Discrete Event Systems
Pages53-58
Number of pages6
Volume10
EditionPART 1
StatePublished - 1 Dec 2010
Event10th International Workshop on Discrete Event Systems, WODES 2010 - Berlin, Germany
Duration: 30 Aug 20101 Sep 2010

Conference

Conference10th International Workshop on Discrete Event Systems, WODES 2010
Country/TerritoryGermany
CityBerlin
Period30/08/101/09/10

    Scopus subject areas

  • Control and Systems Engineering

    Research areas

  • Equilibrium thermodynamics, Hybrid control systems, Phase transitions

ID: 35908925