Piecewise-Constant Control Signal for Predator-Prey Systems: Application to Ecological Recovery

Authors:	Silveira Hector, Universidade Federal de Santa Catarina, Brazil Pagano Daniel, Universidade Federal de Santa Catarina, Brazil
Topic:	8.3 Modelling & Control of Environmental Systems
Session:	Ecological Modeling and Other Environmental Issues
Keywords:	Environmental engineering, Sliding-mode control, Tracking systems

Abstract

A control strategy that determines piecewise-constant control signals for the tracking problem of predator-prey systems is proposed, since this type of signal is an idealized model of management policies adopted by environmental agencies. The reference trajectories are chosen as to restore the original dynamics of a disturbed system. Assuming that the system model is completely known, it is shown that accurate tracking can be achieved from periodic measurements of the sizes of both populations.