Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Initial investigations of hybrid thermodynamic control systems with phase transitions. / Gromov, Dmitry; Caines, Peter E.
Proceedings - WODES 2010: 10th International Workshop on Discrete Event Systems. Vol. 10 PART 1. ed. 2010. p. 53-58.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - Initial investigations of hybrid thermodynamic control systems with phase transitions
AU - Gromov, Dmitry
AU - Caines, Peter E.
PY - 2010/12/1
Y1 - 2010/12/1
N2 - 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.
AB - 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.
KW - Equilibrium thermodynamics
KW - Hybrid control systems
KW - Phase transitions
UR - http://www.scopus.com/inward/record.url?scp=80052018695&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:80052018695
SN - 9783902661791
VL - 10
SP - 53
EP - 58
BT - Proceedings - WODES 2010
T2 - 10th International Workshop on Discrete Event Systems, WODES 2010
Y2 - 30 August 2010 through 1 September 2010
ER -
ID: 35908925