Controllability and observability of heat exchanger networks in the time-varying parameter case

E. I. Varga, K. Hangos, F. Szigeti

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

In this paper the structural controllability and observability of heat exchanger networks are determined from qualitative information about the heat exchangers and their network topology. The heat exchanger network is modelled as a time-varying linear system based on first engineering principles where the effect of the flowrate variations is described by unknown time-varying parameters, inlet temperature variations are regarded as disturbances and external heaters/coolers are considered as input variables. Necessary and sufficient conditions for structural controllability and observability of heat exchanger networks are derived, based on an extended Kalman-type rank criterion for linear systems with time-varying parameters. Determining the structural controllability and observability of heat exchanger networks needs only checks for the input and output connectability of the network in both constant and time-varying parameter cases. The results are extended to the more-practical case where bypass ratios are also used as control variables and where more than one time-varying parameter enters into the state-space matrices.

Original languageEnglish
Pages (from-to)1409-1419
Number of pages11
JournalControl Engineering Practice
Volume3
Issue number10
DOIs
Publication statusPublished - 1995

Fingerprint

Time-varying Parameters
Heat Exchanger
Observability
Controllability
Heat exchangers
Linear systems
Bypass ratio
Linear Time-varying Systems
Network Topology
Unknown Parameters
State Space
Disturbance
Linear Systems
Topology
Engineering
Necessary Conditions
Sufficient Conditions
Output
Temperature

Keywords

  • Chemical processes
  • Digraphs
  • Dynamic models
  • Process control
  • Structural properties

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering
  • Applied Mathematics
  • Industrial and Manufacturing Engineering

Cite this

Controllability and observability of heat exchanger networks in the time-varying parameter case. / Varga, E. I.; Hangos, K.; Szigeti, F.

In: Control Engineering Practice, Vol. 3, No. 10, 1995, p. 1409-1419.

Research output: Contribution to journalArticle

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