Model Predictive Control of the Harvesting Effort of a Sustainable Seafood with a Nonlinear State Equation

Messaoud Bounkhel,Lotfi Tadj,Ramdane Hedjar

doi:10.1155/2019/5823465

Messaoud Bounkhel, Lotfi Tadj + Show 1 more

Open Access

https://doi.org/10.1155/2019/5823465

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Abstract

This paper is concerned with the nonlinear model predictive control of the harvesting effort of a renewable resource system, namely, sustainable seafood (farmed fish), with a nonlinear state equation. A solution approach is proposed and discussed, and numerical illustrations are provided.

Highlights

A lot of the resources we use daily cannot be recovered once they are gone. is type of resources is called nonrenewable resources
For the reason of the overconsumption of nonrenewable resources due to the exponential evolution of the industry, we have to turn to another type of resources which can replenish with the passage of time, either through biological reproduction or other naturally recurring processes
Mathematicians can participate in this effort by mathematically modeling the phenomenon as an optimal control problem and solving it for the optimal harvesting rate which will ensure sustainable fishing

Summary

Introduction

A lot of the resources we use daily cannot be recovered once they are gone. is type of resources is called nonrenewable resources. En, we could run out of renewable resources, and for this reason, we should turn to sustainable fishing Solutions to this problem involve several plans of action by governments and by consumers and communities; everyone must play a larger role in trying to achieve better management of renewable resources. Model predictive control (MPC) is usually formulated as the repeated solution of an optimal control problem. (1) Obtain estimates of the states of the system (2) Calculate an optimal input minimizing the desired cost function over the prediction horizon using the system model for prediction (3) Implement the first part of the optimal input until the sampling instant (4) Continue with (2). We aim at using the nonlinear model predictive control, an optimal control approach that we have not seen applied in the context of nonrenewable resources.

Model Formulation

Model Analysis

Numerical Simulations

Findings

Summary and Future Research