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Two cascaded and extended kalman filters combined with sliding mode control for sustainable management of marine fish stocks

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Języki publikacji
EN
Abstrakty
EN
This paper deals with a possible approach to controlling marine fish stocks using the prey‐predator model described by the Lotka‐Volterra equations. The control strategy is conceived using the sliding mode control (SMC) approach which, based on the Lyapunov theorem, offers the possibility to track desired functions, thus guaranteeing the stability of the controlled system. One of the most important aspects of this model is the identification of some parameters which characterizes the model. In this work two cascaded and Extended Kalman Filters (EKFs) are proposed to estimate them in order to be utilized in SMC. This approach can be used for sustainable management of marine fish stocks: through the developed algorithm, the appropriate number of active fishermen and the suitable period for fishing can be determined. Computer simulations validate the proposed approach.
Twórcy
  • Institute of Product and Process Innovation, Leuphana University of Lueneburg, Universitaetsallee 1, D‑21335 Lueneburg, Germany
autor
  • Institute of Product and Process Innovation, Leuphana University of Lueneburg, Universitaetsallee 1, D‑21335 Lueneburg, Germany
  • Institute of Product and Process Innovation, Leuphana University of Lueneburg, Universitaetsallee 1, D‑21335 Lueneburg, Germany
  • Applied Physics Department of Engineering Institute of Baja California Autonomous University, Blvd. Benito Juarez y Calle de La Normal, s/n, Col. Insurgentes Este, C.P.21280, Mexicali, BC, Mexico
Bibliografia
  • [1] H. Gordon, “The economic theory of a common‑property resource: The fishery”, The Journal of Political Economy, vol. 62, no. 2, 1954, 124–142, www.jstor.org/stable/1825571.
  • [2] “EU 2010 biodiversity baseline”. European Environment Agency (EEA), 2010. Accessed on: 2020.12.02.
  • [3] B. Worm, E. B. Barbier, N. Beaumont, J. E. Duffy, C. Folke, B. S. Halpern, J. B. C. Jackson, H. K. Lotze, F. Micheli, S. R. Palumbi, E. Sala, K. A. Selkoe, J. J. Stachowicz, and R. Watson, “Impacts of Biodiversity Loss on Ocean Ecosystem Services”, Science, vol. 314, 2006, 787–790, 10.1126/science.1132294.
  • [4] United Nations. “Sustainable development goal 14”. https://sustainabledevelopment.un.org/sdg14. Accessed on 2020.12.18.
  • [5] B. Leary, J. Smart, F. Neale, J. Hawkins, S. Newman, A. Milman, and C. Roberts, “Fisheries mismanagement”, Marine Pollution Bulletin, vol. 62, no. 12, 2011, 2642–2648, 10.1016/j.marpolbul.2011.09.032.
  • [6] K. Benz, C. Rech, and P. Mercorelli, “Sustainable Management of Marine Fish Stocks by Means of Sliding Mode Control”. In: 2019 Federated Conference on Computer Science and Information Systems (FedCSIS), vol. 18, 2019, 907–910, 10.15439/2019F221.
  • [7] P. Mercorelli, “A hysteresis hybrid extended Kalman filter as an observer for sensorless valve control in camless internal combustion engines”, IEEE Transactions on Industry Applications, vol. 48, no. 6, 2012, 1940–1949, 10.1109/TIA.2012.2226193.
  • [8] P. Mercorelli, “A two‑stage augmented extended Kalman filter as an observer for sensorless valve control in camless internal combustion engines”, IEEE Transactions on Industrial Electronics, vol. 59, no. 11, 2012, 4236–4247, 10.1109/TIE.2012.2192892.
  • [9] B. Haus, H. Aschemann, and P. Mercorelli, “Tracking control of a piezo‑hydraulic actuator using input‑output linearization and a Cascaded Extended Kalman Filter structure”, Journal of the Franklin Institute, vol. 355, no. 18, 2018, 9298 –9320, 10.1016/j.jfranklin.2017.07.042.
  • [10] R. Kalman, “A New Approach to Linear Filtering and Prediction Problems”, Transactions of the ASME‑Journal of Basic Engineering, vol. 82, 1960, 35–45.
  • [11] P. S. Maybeck, Stochastic Models, Estimation, and Control, volume 1, Academic Press, Inc., 1979.
  • [12] F. L. Lewis, Optimal Estimation with an Introduction to Stochastic Control Theory, Wiley‑Interscience, 1986.
  • [13] A. Lacoursière‑Roussel, G. Côté, V. Leclerc, and L. Bernatchez, “quantifying relative fish abundance with edna: a promising tool for fisheries management”, Journal of Applied Ecology, 2016.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-aad65886-ad1c-4c4f-9e61-8ef543cc6060
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