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Methods of controller synthesis using linear matrix inequalities and model predictive control

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Języki publikacji
EN
Abstrakty
EN
Controllers based on linear matrix inequalities (LMI) and model predictive control (MPC) both use optimization methods; there are however significant differences between them. In case of LMI controllers, optimization is carried out during controller synthesis, because LMI’s are an optimization tool that requires a linear programming problem being solved. With MPC controllers, however, optimization methods are not used as much in controller synthesis as in controller algorithm operation, to determine optimal control signal values based on the found minimum of the criteria function. A square function is used with boundaries from above and below, which requires a square programming problem, with boundaries for decision variables, being solved. In this paper controller synthesis methods using LMI and MPC are shown, with a focus on the steps that need to be performed, and a comparison of both methods.
Rocznik
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22--28
Opis fizyczny
Bibliogr. 11 poz., rys.
Twórcy
autor
  • Gdynia Maritime University, Department of Ship Automation 81–87 Morska St., 81-225 Gdynia, Poland
autor
  • Gdynia Maritime University, Department of Ship Automation 81–87 Morska St., 81-225 Gdynia, Poland
Bibliografia
  • 1. BOYD, S., GHAOUI, L., FERON, E. & BALAKRISHNAN, V. (1994) Linear Matrix Inequalities in System and Control Theory. Philadelhia: Society for Industrial and Applied Mathematics (SIAM).
  • 2. BRUNTON, S.L., DAWSON, S.T.M. & ROWLEY, C.W. (2014) State space model identification and feedback control of unsteady aerodynamic forces. Journal of Fluids and Structures. 50. pp. 253–270.
  • 3. CLARKE, D.W., MOHTADI, C. & TUFFS, P.S. (1987a) Generalized predictive controlpart i. the basic algorithm. Automatica. 23, 2. pp. 137–148.
  • 4. CLARKE, D.W., MOHTADI, C. & TUFFS, P.S. (1987b) Generalized predictive controlpart i extensions and interpretations. Automatica. 23, 2. pp. 149–160.
  • 5. KERRIGAN, E.C. & MACIEJOWSKI, J.M. (1999) Faulttolerant control of a ship propulsion system using model predictive control. Proceedings of European control conference.
  • 6. KOZIŃSKI, W. (2004) Projektowanie regulatorów. Wybrane metody klasyczne i optymalizacyjne. Warszawa: Oficyna Wydawnicza Politechniki Warszawskiej.
  • 7. MILLER, A. (2014) Model Predictive Control of the ship's motion in presence of wind disturbances. Scientific Journals of the Maritime University of Szczecin. 39 (111). pp. 107–115.
  • 8. PASZKE, W. (2005) Analysis and synthesis of multidimensional system classes using linear matrix inequality methods. Praca doktorska. Zielona Góra.
  • 9. RYBCZAK, M. (2014) Bounded linear stability region in linear matrix inequalities for a multivariable object. Scientific Journals of the Maritime University of Szczecin. 39(111). pp. 133–139.
  • 10. WEILAND, S. & SCHERER, C. (2005) Linear Matrix Inequalities in Control. The Netherlands: Society for Industrial and Applied Mathematics. Delft Center for Systems and Control Delft University of Technology.
  • 11. XI, Y.G., LI, D.W. & LIN, S. (2013) Model predictive control – status and challenges. Acta Automatica Sinica. 39, 3.
Typ dokumentu
Bibliografia
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