Robust set-point regulation for ecological models with multiple management goals.
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|Chris|C|', 'Mueller|Markus|M|', 'Hodgson|Dave|D|', 'Townley|Stuart|S|']
D000818:Animals D028023:Arecaceae D001188:Artiodactyla D003198:Computer Simulation D004463:Ecology D017753:Ecosystem D005260:Female D008297:Male D055641:Mathematical Concepts D008954:Models, Biological D011157:Population Dynamics
PI control Anti-windup control Population ecology Positive state system Resource management