Stability of composite thermodynamic systems with interconnection constraints

D. Gromov, P.E. Caines

Research output

4 Citations (Scopus)

Abstract

In this study, a formulation of thermodynamic systems in terms of contact geometry is proposed. Furthermore, a systematic approach to the description and analysis of composite thermodynamic systems, that is, systems containing a number of interacting thermodynamic subsystems, is developed. In such systems, there are always heat, work or matter flows between the subsystems which, together with constructive restrictions, form the interconnection structure of the composite system. This structure can be described by a set of constraints imposed on the system. In geometric terms, this can be seen as a restriction of the system space to a certain ‘constraint sub-manifold’. Moreover, there are kinematic (non-holonomic) constraints which restrict the system's dynamics while imposing no restrictions on the system configuration. Both geometric and kinematic constraints and their influence on the dynamics of the composite system are discussed. Finally, several types of composite thermodynamic system are presented and th
Original languageEnglish
Pages (from-to)1629-1636
JournalIET Control Theory and Applications
Volume9
Issue number11
DOIs
Publication statusPublished - 2015

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Interconnection
Thermodynamics
Composite
Composite materials
Large scale systems
Kinematics
Dynamical systems
Restriction
Subsystem
Geometry
Contact Geometry
Nonholonomic Constraints
System Dynamics
Submanifolds
Heat
Configuration
Formulation
Term

Cite this

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title = "Stability of composite thermodynamic systems with interconnection constraints",
abstract = "In this study, a formulation of thermodynamic systems in terms of contact geometry is proposed. Furthermore, a systematic approach to the description and analysis of composite thermodynamic systems, that is, systems containing a number of interacting thermodynamic subsystems, is developed. In such systems, there are always heat, work or matter flows between the subsystems which, together with constructive restrictions, form the interconnection structure of the composite system. This structure can be described by a set of constraints imposed on the system. In geometric terms, this can be seen as a restriction of the system space to a certain ‘constraint sub-manifold’. Moreover, there are kinematic (non-holonomic) constraints which restrict the system's dynamics while imposing no restrictions on the system configuration. Both geometric and kinematic constraints and their influence on the dynamics of the composite system are discussed. Finally, several types of composite thermodynamic system are presented and th",
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TY - JOUR

T1 - Stability of composite thermodynamic systems with interconnection constraints

AU - Gromov, D.

AU - Caines, P.E.

PY - 2015

Y1 - 2015

N2 - In this study, a formulation of thermodynamic systems in terms of contact geometry is proposed. Furthermore, a systematic approach to the description and analysis of composite thermodynamic systems, that is, systems containing a number of interacting thermodynamic subsystems, is developed. In such systems, there are always heat, work or matter flows between the subsystems which, together with constructive restrictions, form the interconnection structure of the composite system. This structure can be described by a set of constraints imposed on the system. In geometric terms, this can be seen as a restriction of the system space to a certain ‘constraint sub-manifold’. Moreover, there are kinematic (non-holonomic) constraints which restrict the system's dynamics while imposing no restrictions on the system configuration. Both geometric and kinematic constraints and their influence on the dynamics of the composite system are discussed. Finally, several types of composite thermodynamic system are presented and th

AB - In this study, a formulation of thermodynamic systems in terms of contact geometry is proposed. Furthermore, a systematic approach to the description and analysis of composite thermodynamic systems, that is, systems containing a number of interacting thermodynamic subsystems, is developed. In such systems, there are always heat, work or matter flows between the subsystems which, together with constructive restrictions, form the interconnection structure of the composite system. This structure can be described by a set of constraints imposed on the system. In geometric terms, this can be seen as a restriction of the system space to a certain ‘constraint sub-manifold’. Moreover, there are kinematic (non-holonomic) constraints which restrict the system's dynamics while imposing no restrictions on the system configuration. Both geometric and kinematic constraints and their influence on the dynamics of the composite system are discussed. Finally, several types of composite thermodynamic system are presented and th

KW - Composite thermodynamic systems

KW - interacting thermodynamic subsystems

KW - contact geometry

KW - interconnection constraints

KW - nonholonomic constraints

KW - LaSalle invariance principle

KW - kinematic constraints

KW - constraint submanifold

KW - interconnection structure

KW - geometric constraints

KW - asymptotic dynamical behaviour

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JO - IET Control Theory and Applications

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