Port-Hamiltonian based control of water distribution networks

Richard Perryman, Joshua A. Taylor, Bryan Karney

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We design controllers for a nonlinear model of a water distribution network (WDN). Most existing approaches to the control of WDNs model the pumps as simple pressure gains. We show that a commonly used empirical model of a pump leads to a port-Hamiltonian (pH) and hence stable system. We use standard arguments to show that WDNs are incrementally pH, and show that local PI controllers preserve stability. These controllers are robust in that they do not require specific knowledge of the equilibrium input. We further show that controllers based on physical feedback that WDN operators usually rely on have merit in the pH framework. All of these controllers are shown to be useful in mitigating disturbances and tracking setpoints corresponding to assignable equilibria.

Original languageEnglish (US)
Article number105402
JournalSystems and Control Letters
Volume170
DOIs
StatePublished - Dec 2022
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • General Computer Science
  • Mechanical Engineering
  • Electrical and Electronic Engineering

Keywords

  • Incremental models
  • Nonlinear systems
  • Passivity
  • Port-Hamiltonian systems

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