Robust set-point regulation for ecological models with multiple management goals

Chris Guiver, Markus Mueller, Dave Hodgson, Stuart Townley

Research output: Contribution to journalArticle

  • 2 Citations

Abstract

Population managers will often have to deal with problems of meeting multiple goals, for example, keeping at specific levels both the total population and population abundances in given stage-classes of a stratified population. In control engineering, such set-point regulation problems are commonly tackled using multi-input, multi-output proportional and integral (PI) feedback controllers. Building on our recent results for population management with single goals, we develop a PI control approach in a context of multi-objective population management. We show that robust set-point regulation is achieved by using a modified PI controller with saturation and anti-windup elements, both described in the paper, and illustrate the theory with examples. Our results apply more generally to linear control systems with positive state variables, including a class of infinite-dimensional systems, and thus have broader appeal.

LanguageEnglish
Pages1467-1529
Number of pages63
JournalJournal of Mathematical Biology
Volume72
Issue number6
DOIs
StatusPublished - 1 May 2016

Fingerprint

Ecological Model
Point Sets
Linear control systems
Controllers
Population
Managers
Directly proportional
controllers
Feedback
Controller
Linear Control Systems
Infinite-dimensional Systems
Appeal
Saturation
engineering
managers
Engineering
Output

Keywords

  • Anti-windup control
  • PI control
  • Population ecology
  • Positive state system
  • Resource management

Cite this

Robust set-point regulation for ecological models with multiple management goals. / Guiver, Chris; Mueller, Markus; Hodgson, Dave; Townley, Stuart.

In: Journal of Mathematical Biology, Vol. 72, No. 6, 01.05.2016, p. 1467-1529.

Research output: Contribution to journalArticle

Guiver, Chris ; Mueller, Markus ; Hodgson, Dave ; Townley, Stuart. / Robust set-point regulation for ecological models with multiple management goals. In: Journal of Mathematical Biology. 2016 ; Vol. 72, No. 6. pp. 1467-1529
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