Dissipative and conservative structures for thermo-mechanical systems

被引:1
作者
Garcia-Sandoval, J. P. [1 ]
Dochain, D. [2 ]
Hudon, N. [2 ]
机构
[1] Univ Guadalajara, Dept Ingn Quim, Guadalajara 44430, Jalisco, Mexico
[2] Catholic Univ Louvain, ICTEAM, Louvain, Belgium
关键词
Port-controlled Hamiltonian systems; Thermodynamics; PASSIVITY-BASED CONTROL; IRREVERSIBLE THERMODYNAMICS; HAMILTONIAN-SYSTEMS; DYNAMICAL-SYSTEMS; 2ND LAW; STABILITY; CSTR; INTERCONNECTION; NETWORKS; REACTORS;
D O I
10.1016/j.ifacol.2015.09.108
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
On this work is shown how to derive a structural representation class of thermo-mechanical systems in the Port Hamiltonian framework in order to express explicitly the dissipation along the trajectories of the dynamics. To achieve this goal the entropy is used as the storage function. The dissipation structures are correlated with irreversible processes, while the conservative processes are correlated with reversible or iseutropic processes. Finally, three study cases are presented: the first one is an adiabatic gas-piston system, the second is all adiabatic two chambers gas-piston-gas system and the last one is an adiabatic liquid-pendulum system. (C) 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码:1057 / 1064
页数:8
相关论文
共 31 条
[1]   From irreversible thermodynamics to a robust control theory for distributed process systems [J].
Alonso, AA ;
Ydstie, BE ;
Banga, JR .
JOURNAL OF PROCESS CONTROL, 2002, 12 (04) :507-517
[2]   Stabilization of distributed systems using irreversible thermodynamics [J].
Alonso, AA ;
Ydstie, BE .
AUTOMATICA, 2001, 37 (11) :1739-1755
[3]   Process systems, passivity and the second law of thermodynamics [J].
Alonso, AA ;
Ydstie, BE .
COMPUTERS & CHEMICAL ENGINEERING, 1996, 20 :S1119-S1124
[4]   A systematic approach to plant-wide control based on thermodynamics [J].
Antelo, Luis T. ;
Otero-Muras, Irene ;
Banga, Julio R. ;
Alonso, Antonio A. .
COMPUTERS & CHEMICAL ENGINEERING, 2007, 31 (5-6) :677-691
[5]   Passivity based control of reaction diffusion systems: Application to the vapor recovery reactor in carbothermic aluminum production [J].
Balaji, S. ;
Garcia-Osorio, Vianey ;
Ydstie, B. Erik .
CHEMICAL ENGINEERING SCIENCE, 2010, 65 (16) :4792-4802
[6]   Dynamics and control of chemical process networks: Integrating physics, communication and computation [J].
Baldea, Michael ;
El-Farra, Nael H. ;
Ydstie, B. Erik .
COMPUTERS & CHEMICAL ENGINEERING, 2013, 51 :42-54
[7]   Distillation stability using passivity and thermodynamics [J].
Coffey, DP ;
Ydstie, BE ;
Farschman, CA .
COMPUTERS & CHEMICAL ENGINEERING, 2000, 24 (2-7) :317-322
[8]   THERMODYNAMIC STABILITY AND ENTROPY PRODUCTION IN ADIABATIC STIRRED FLOW REACTORS [J].
DAMMERS, WR ;
TELS, M .
CHEMICAL ENGINEERING SCIENCE, 1974, 29 (01) :83-90
[9]   An introduction to interconnection and damping assignment passivity-based control in process engineering [J].
Doerfler, Florian ;
Johnsen, Jorgen K. ;
Allgoewer, Frank .
JOURNAL OF PROCESS CONTROL, 2009, 19 (09) :1413-1426
[10]   Process systems and inventory control [J].
Farschman, CA ;
Viswanath, KP ;
Ydstie, BE .
AICHE JOURNAL, 1998, 44 (08) :1841-1857