title: Robust set-point regulation for ecological models with multiple management goals.
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.
authors.affiliation: Environment and Sustainability Institute, College of Engineering Mathematics and Physical Sciences, University of Exeter, Penryn Campus, Penryn, Cornwall, TR10 9FE, UK. c.guiver@ex.ac.uk.
authors.forename: Chris
authors.initials: C
authors.lastname: Guiver
authors.affiliation: Environment and Sustainability Institute, College of Engineering Mathematics and Physical Sciences, University of Exeter, Penryn Campus, Penryn, Cornwall, TR10 9FE, UK.
authors.forename: Markus
authors.initials: M
authors.lastname: Mueller
authors.affiliation: Centre for Ecology and Conservation, College of Life and Environmental Sciences, University of Exeter, Penryn Campus, Penryn, Cornwall, TR10 9FE, UK.
authors.forename: Dave
authors.initials: D
authors.lastname: Hodgson
authors.affiliation: Environment and Sustainability Institute, College of Engineering Mathematics and Physical Sciences, University of Exeter, Penryn Campus, Penryn, Cornwall, TR10 9FE, UK.
authors.forename: Stuart
authors.initials: S
authors.lastname: Townley
mesh_terms: D000818:Animals; D028023:Arecaceae; D001188:Artiodactyla; D003198:Computer Simulation; D004463:Ecology / Q000458:organization & administration* / Q000706:statistics & numerical data; D017753:Ecosystem; D005260:Female; D008297:Male; D055641:Mathematical Concepts; D008954:Models, Biological; D011157:Population Dynamics / Q000706:statistics & numerical data
keywords: Anti-windup control; PI control; Population ecology; Positive state system; Resource management