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The H2 and Robust Hinf Regulators Applied to Multivariable Ship Steering

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EN
Abstrakty
EN
The main goal of this task was a calculation of the two multivariable regulators for precise steering of a real, floating, training ship. The first one minimized the H2 norm of the closed-loop system. The second one was related to the Hinf norm. The robust control approach was applied in this controller with the usage of the structured singular value concept. Both controllers are described in the first part of the paper. Details of the training vessel and its simulation model then are presented. The state model of the control object obtained via identification process is described in the next section. This model with matrices weighting functions was the base for creation of ’the augmented state model’ for the open-loop system. The calculation results of the multivariable controllers is also shown in this section. Several simulations were performed in order to verify the control quality of both regulators. Exemplary results are presented at the end of this paper together with final remarks.
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  • Gdynia Maritime University, Gdynia, Poland
Bibliografia
  • 1. Anderson, B. & Moore, J. (2005), Optimal Filtering, Dover Publications, UK.
  • 2 Balas, G., Doyle, J., Glover, K., Packard, A. & Smith, R. (2001), μ-Analysis and Sythesis Toolbox. Ver.4, The Mathworks Inc., Natick, USA.
  • 3 Doyle, J. (1982), ‘Analysis of feedback systems with struc-tural uncertainties’, IEE Proc., Part D 129(6), 242–250.
  • 4 Doyle, J., Glover, K., Khargonekar, P. & Francis, B. (1989), ‘State-space solutions to standard H2 and H∞ control prob-lems’, IEEE Trans. on Automatic Control 34(8), 831–847.
  • 5 Fossen, T. (2002), Marine Control Systems, Marine Cybernet-ics, Trondheim, Norway.
  • 6 Gierusz, W. (2001), Simulation model of the ship handling training boat ,,Blue Lady”, in ‘Int. IFAC Conference Con-trol Applications in Marine Systems CAMS’01’, Glasgow, Scotland.
  • 7 Gierusz, W. (2006), ‘The steering of the ship motion - a μ-synthesis approach’, Archives of Control Sciences 16/1, 5–27.
  • 8 Gierusz, W. & Tomera, M. (2006), ‘Logic thrust allocation ap-plied to multivariable control of the training ship’, Control Engineering Practice 14, 511–524.
  • 9 Niederlinski, A., Moscinski, J. & Ogonowski, Z. (1995), Adap-tive control (in polish), PWN, Warszawa, Poland.
  • 10 Redheffer, R. (1960), ‘On a certain linear fractional transfor-mation’, Journal of Mathematical Physics 39, 269–286.
  • 11 Skogestad, S. & Postlethwaite, I. (2003), Multivariable Feed-back Control - Analysis and Design, John Wiley and Sons, Chichester, UK.
  • 12 Zhou, K. (1998), Essentials of Robust Control, Prentice Hall, Upper Saddle River, USA.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-8da95ff5-8794-427d-8730-1594e3722db9
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