dc.contributor.author | Guiver, Chris | |
dc.contributor.author | Mueller, Markus | |
dc.contributor.author | Hodgson, David J. | |
dc.contributor.author | Townley, Stuart | |
dc.date.accessioned | 2015-09-07T09:31:01Z | |
dc.date.issued | 2015-08-05 | |
dc.description.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. | en_GB |
dc.description.sponsorship | Engineering and Physical Sciences Research Council (EPSRC) | en_GB |
dc.identifier.citation | Published online: 05 August 2015 | |
dc.identifier.doi | 10.1007/s00285-015-0919-7 | |
dc.identifier.grantnumber | EP/I019456/1 | en_GB |
dc.identifier.uri | http://hdl.handle.net/10871/18191 | |
dc.language.iso | en | en_GB |
dc.publisher | Springer Verlag | en_GB |
dc.relation.url | http://www.ncbi.nlm.nih.gov/pubmed/26242360 | en_GB |
dc.rights | © The Author(s) 2015
Open Access
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. | en_GB |
dc.subject | Population ecology | en_GB |
dc.subject | Resource management | en_GB |
dc.subject | PI control | en_GB |
dc.subject | Positive state system | en_GB |
dc.subject | Anti-windup control | en_GB |
dc.title | Robust set-point regulation for ecological models with multiple management goals | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2015-09-07T09:31:01Z | |
dc.identifier.issn | 0303-6812 | |
dc.description | Open access article | en_GB |
dc.identifier.eissn | 1432-1416 | |
dc.identifier.journal | Journal of Mathematical Biology | en_GB |