TITLE:
Sustainable Ecosystem Management via H∞-Control Theory of Stochastic Systems
AUTHORS:
Michael Park
KEYWORDS:
Galerkin Method, Feedback Design of Ecosystems, Hamilton-Jacobi Equation, Predator-Prey Model, Sustainable Ecosystem, Nonlinear Control
JOURNAL NAME:
Journal of Geoscience and Environment Protection,
Vol.11 No.2,
February
21,
2023
ABSTRACT: In this paper, aiming
to provide accurate protocols for management of sustainable ecosystems, a
design methodology of H∞-controller
for hunter-prey
model under exposure to exogenous disturbance and stochastic noise is
presented. Along the development, solution procedure of the stochastic Hamilton-Jacobi-Isaacs equation via Successive
Galerkin’s Approximation is described. Utilizing the proposed solution methodology
of Hamilton-Jacobi-Isaacs equation, H∞-controller of
hunter-prey model
was successfully designed. Robustness and performance against
exogenous disturbance of the designed H∞-controller
is validated and confirmed by numerical simulations including Monte-Carlo
simulation by Simulink software on MATLAB.