Dr Chris Guiver C.Guiver@napier.ac.uk
Lecturer
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.
Guiver, C., Mueller, M., Hodgson, D., & Townley, S. (2016). Robust set-point regulation for ecological models with multiple management goals. Journal of Mathematical Biology, 72, 1467-1529. https://doi.org/10.1007/s00285-015-0919-7
Journal Article Type | Article |
---|---|
Acceptance Date | Jul 25, 2015 |
Online Publication Date | Aug 5, 2015 |
Publication Date | 2016-05 |
Deposit Date | Jul 23, 2020 |
Publicly Available Date | Aug 5, 2020 |
Journal | Journal of Mathematical Biology |
Print ISSN | 0303-6812 |
Electronic ISSN | 1432-1416 |
Publisher | BMC |
Peer Reviewed | Peer Reviewed |
Volume | 72 |
Pages | 1467-1529 |
DOI | https://doi.org/10.1007/s00285-015-0919-7 |
Keywords | Anti-windup control, PI control, Population ecology, Positive state system, Resource management |
Public URL | http://researchrepository.napier.ac.uk/Output/2677323 |
Robust set-point regulation for ecological models with multiple management goals
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