Static output-feedback controller design for a fish population system |
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| Affiliation: | 1. Département génie électrique, Ecole Mohamamdia d’Ingénieurs (EMI), Université Mohammed V Agdal, Rabat, Morocco;2. Laboratoire de Recherche en Economie de l’Energie, Environnement et Ressources, Département d’Economie, University Caddy Ayyad, Marrakech, Morocco;1. School of Computer Science and Technology, Xidian University, Xi’an, China;2. School of Computer Science and Technology, Xi’an Jiaotong University, Xi’an, China;3. School of Software, Xidian University, Xi’an, China;1. School of Information Science & Engineering, Central South University, Changsha, Hunan 410083, China;2. Research Organization of Information and Systems, 4-3-13 Toranomon, Minato-ku, Tokyo 105-0001, Japan;3. The Institute of Statistical Mathematics, 10-3 Midori-cho, Tachikawa, Tokyo 190-8562, Japan;4. Hunan Province Higher Education Key Laboratory of Power System Safety Operation and Control, Changsha University of Science and Technology, Changsha, Hunan 410004, China;5. School of Business, Central South University, Changsha, Hunan 410083, China;6. Collaborative Innovation Center of Resource-Conserving & Environment-Friendly Society and Ecological Civilization, Changsha, Hunan 410083, China;1. Department of Industrial Engineering, Faculty of Engineering, Bu-Ali Sina University, Hamedan, Iran;2. Department of Industrial Engineering, Amirkabir University of Technology, 424 Hafez Avenue, 15916-34311 Tehran, Iran;1. Electrical Engineering & Computer Science, University of Ottawa, Canada;2. Research & Engineering, Larus Technologies Corporation, Ottawa, Canada;1. Department of Accounting Information, Takming University of Science and Technology, Taipei 114, Taiwan, ROC;2. Department of Computer Science and Information Engineering, Chinese Culture University, Taipei 111, Taiwan, ROC;3. Department of Management Information Systems, National Chengchi University, Taipei 116, Taiwan, ROC |
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| Abstract: | This paper examines the problem of output feedback control of a Takagi–Sugeno (TS) fuzzy fishery system. The considered system is the continuous age structured model of an exploited population that includes a nonlinear stock–recruitment relationship. The effort is used as control term, the age classes as states and the quantity of captured fish per unit of effort as measured output. In order to stabilize the stock states around the references equilibrium, which means biologically the sustainability of the fish stock, the output feedback controller is adopted, rather than a controller based on the state observer. An algorithm based on the linear matrix inequality is proposed to compute the static output feedback gain. Simulation results of the continuous fishery systems confirm the effectiveness of the proposed design. |
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| Keywords: | Static output feedback control TS fuzzy model Age structured fish population model Sustainability of the fish stock |
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