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A quasi-LPV model for gain-scheduling canal control

Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
In this paper, a quasi-linear parameter-varying (quasi-LPV) model for canal control is proposed. This model relates the downstream level with the gate opening and takes into account the non-linearity, the variation of the model parameters and the dependence with the operating point. Thus, this kind of a model represents in a more accurate way the canal behavior than a linear time invariant (LTI) model. Moreover, it is suitable as for the conventional gain-scheduling as for a rigorous and formal (LPV or fuzzy) gain-scheduling control design using linear matrix inequality (LMI) tools. Finally, the proposed LPV model has been used to design a conventional gain-scheduling (GS) PI controller and tested on a single pool canal.
Rocznik
Strony
299--313
Opis fizyczny
Bibliogr. 20 poz., rys., tab.
Twórcy
autor
  • Technical University of Catalonia, Automatic Control Department, Pau Gargallo 5, 08028 Barcelona, Spain
autor
  • Technical University of Catalonia, Automatic Control Department, Pau Gargallo 5, 08028 Barcelona, Spain
autor
  • Technical University of Catalonia, Automatic Control Department, Pau Gargallo 5, 08028 Barcelona, Spain
autor
  • Technical University of Catalonia, Automatic Control Department, Pau Gargallo 5, 08028 Barcelona, Spain
autor
  • Technical University of Catalonia, Automatic Control Department, Pau Gargallo 5, 08028 Barcelona, Spain
Bibliografia
  • [1] M. B. Abbot: Computational hydraulics: Elements of the theory of free surface flows. Pitman Publishing Limited, London, 1979.
  • [2] P. Apkarian, P. Gahinet and G. Becker: Self-Scheduled H∞Control of Linear Parameter-Varying Systems: A Design Exemple. Automatica, 31(9), (1995), 1251-1261.
  • [3] K. J. Aström and B. Wittenmark: Adaptive Control, Prentice-Hall, 1989.
  • [4] K. J. Aström and T. Hägglund: PID Controller: Theory, Design and Tuning. 2nd Edition-Research Triangle Park, NC: Instrument Society of America, 1995.
  • [5] G. Becker and A. Packard: Robust performance of linear parametrically varying systems using parametrically-dependent linear feedback. System and Control Letters, 23 (1994), 205-215.
  • [6] G. Belforte, F. Dabbene and P. Gay: LPV Approximation of Distributed Parameter Systems in Environmental Modeling. International Environmental Modelling and Software Society Proc., Vol 2 (2002).
  • [7] Y. Bolea and J. Blesa: Irrigation canal simulator (ICS). Automatic Control Dept., Technical Univ. of Catalonia, Internal Report, 2000.
  • [8] Y. Bolea, J. Blesa, V. Puig and T. Escobet: Identification of an Open Canal: Parametric Black-Box vs. Muskingum Approaches. Proc. of IEEE System, Man and Cybernetics, Tunisia, 2002.
  • [9] Y. Bolea, V. Puig, J. Blesa, M. Gómez and J. Rodellar: An LPV Model for Canal Control. Proc. 10th IEEE Int. Conf. on Methods and Models in Automation and Robotics MMAR, Poland 2004.
  • [10] J. A. Cunge, F.M. Holly and A. Holly: Practical aspects of computational river hydraulics. Pitman Advanced Publishing Program, 1980.
  • [11] P. Korba, R. Babuska, H.B. Verbruggen and P.M. Frank: Fuzzy Gain Scheduling: Controller and Observer Design Based on Lyapunov Method and Convex Optimization. IEEE Trans. on Fuzzy Systems, 11(3), (2003), 285-298.
  • [12] I. D. Landau: System Identification and Control Design. 1st Edition, Prentice-Hall, 1990.
  • [13] D. Leith and W. Leithead: Survey of gain-scheduling analysis and design. Int. J. of Control, 73 (2000), 1001-1025.
  • [14] D. J. Leith, R. N. Shorten and W.E. Leithead: Issues in the design of switched linear control systems: A benchmark study. Int. J. Adapt. Control Signal Process., 17 (2003), 103-118.
  • [15] X. Litrico and D. Georges: Robust continuous-time and discrete-time flow control of a dam-river system. (II) Controller design. Appl. Math. Modelling, 23 (1999), 829-846.
  • [16] W. Rugh and J. Shamma: Research on gain scheduling. Automatica, 36 (2000), 1401-1425.
  • [17] J. Schuurmans, O. H. Brosga and R. Brouwer: Open-channel flow model approximation for controller design. Appl. Math. Modelling, 19 (1995), 525-530.
  • [18] J. S. Shamma and M. Athans: Guaranteed Properties of Gain Scheduled Control for Linear Parameter Varying Plants. Automatica, 27 (1991), 559-564.
  • [19] K. Tanaka and H. O. Wang: Fuzzy control systems design and analysis. A linear matrix inequality approach. John Wiley & Sons, 2002.
  • [20] E. Weyer: System identification of an open canal. Control Engineering Practice, 9 (2001), 1289-1299.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0012-0006
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