Sunday 14 August 2011

Wseas Transactions

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Transactions: INTERNATIONAL JOURNAL of MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES
Transactions ID Number: 17-284
Full Name: Achraf Ait Kaddour
Position: Ph.D. Candidate
Age: ON
Sex: Male
Address: Boite Postale Numero 9208 Rabat Ocean, Rabat 10000
Country: MOROCCO
Tel: +212661117220
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E-mail address: achraff@gmail.com
Other E-mails: a_k_achraf@yahoo.fr
Title of the Paper: fuzzy output control for an exploited polynomial fish population model
Authors as they appear in the Paper: Achraf Ait Kaddour, El Houssine El mazoudi, Noureddine Elalami
Email addresses of all the authors: achraff@gmail.com
Number of paper pages: 8
Abstract: In this paper the stage-structured population model with nonlinear cannibalism terms is studied. Our approach utilizes a certain type of fuzzy systems that are based on Takagi-Sugeno fuzzy models to approximate nonlinear systems. We construct a fuzzy feedback control that permits to stabilize the system around the nontrivial equilibrium. The effort is used as a control term, the age classes as a states and the quantity of captured fish per unit of effort as a measured output. In order to stabilize the stock states around the references equilibrium, this means biologically the sustainability of the fish stock, the output feedback controller based on the T-S state observer is adopted, rather than the state feedback. We formulate an observer and a controller to stabilize globally exponentially the closed loop Takagi Sugeno (T-S) model. The continuous non-linear model is first represented by a T-S model. Next, we develop a technique for designing a dynamic output fee!
dback control law which globally stabilizes this fuzzy system model. All the procedures are based on the linear matrix inequality approach. The effectiveness and feasibility of the proposed method are demonstrated with a practical example. It is shown by numerical simulations that the control law investigated permits the stability of the system around the positive equilibrium point.
Keywords: Dynamic output feedback, harvested fish population system, nonlinear systems, Takagi-Sugeno multimodel
EXTENSION of the file: .pdf
Special (Invited) Session: dynamic output feedback controller for a harvested fish population system
Organizer of the Session: 303-372
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