A feedback control law to stabilise a harvested fish population system

被引:3
作者
El Mazoudi, E. [1 ,2 ]
Elalami, N. [2 ]
Ouahbi, A. [3 ]
机构
[1] Univ Caddy Ayyad, Dept Econ, Lab Rech Econ Energie Environm & Ressources, Marrakech, Morocco
[2] Ecole Mohammadia Ingenieurs, Lab Automat & Informat Ind, Rabat, Morocco
[3] Inst Super Technol Appl, Settat, Morocco
关键词
age structured model; feedback control; stabilisation; back stepping; fish population;
D O I
10.1504/IJMIC.2011.040078
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we consider the problem of stabilising a continuous fish population system via a state feedback control. The model considered is structured in n age classes and includes a non-linear stock-recruitment relationship. In our case, the variation of the fishing effort is used as a control term, the age classes as states and the quantity of captured fish per unit of effort as a measured output. The back stepping approach is employed to stabilise the studied system around a reference equilibrium point. Explicit expression of a bounded fishing effort and a Lyapunov function are given. An example is tested to illustrate the applicability of the proposed technique.
引用
收藏
页码:341 / 347
页数:7
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