TY - JOUR
T1 - Robust set-point regulation for ecological models with multiple management goals
AU - Guiver, Chris
AU - Mueller, Markus
AU - Hodgson, Dave
AU - Townley, Stuart
PY - 2016/5/1
Y1 - 2016/5/1
N2 - 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.
AB - 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.
KW - Anti-windup control
KW - PI control
KW - Population ecology
KW - Positive state system
KW - Resource management
UR - http://www.scopus.com/inward/record.url?scp=84938704796&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1007/s00285-015-0919-7
UR - http://dx.doi.org/10.1007/s00285-015-0919-7
U2 - 10.1007/s00285-015-0919-7
DO - 10.1007/s00285-015-0919-7
M3 - Article
AN - SCOPUS:84938704796
SN - 0303-6812
VL - 72
SP - 1467
EP - 1529
JO - Journal of Mathematical Biology
JF - Journal of Mathematical Biology
IS - 6
ER -