Have a personal or library account? Click to login

Design of a multivariable neural controller for control of a nonlinear MIMO plant

Open Access
|Jun 2014

References

  1. Akesson, B. and Tojvonen, H. (2006). A neural network model predictive controller, Journal of Process Control16(9): 937–946.10.1016/j.jprocont.2006.06.001
  2. Åström, K. and Wittenmark, B. (1995). Adaptive Control, Addison Weseley, Reading.
  3. Bańka, S. (2007). Multivariable Control Systems: A Polynomial Approach, Monographs of the Committee of Automation and Robotics, Polish Academy of Sciences, Szczecin University of Technology Press, Szczecin, (in Polish).
  4. Bańka, S. (2012). On methods of modal controller synthesis in MIMO systems, in K. Malinowski and M. Busłowicz (Eds.), Advances in Control Theory and Automation, Printing House of Białystok University of Technology, Białystok, pp. 35–46.
  5. Bańka, S., Dworak, P. and Brasel, M. (2010a). On control of nonlinear dynamic MIMO plants using a switchable structure of linear modal controllers, Pomiary, Automatyka, Kontrola56(5): 385–391, (in Polish).
  6. Bańka, S., Dworak, P., Brasel, M. and Latawiec, K.J. (2010b). A switched structure of linear MIMO controllers for positioning of a drillship on a sea surface, Proceedings of the 15th International Conference on Methods and Models in Automation and Robotics, MMAR 2010, Mi˛edzyzdroje, Poland, pp. 249–254.10.1109/MMAR.2010.5587228
  7. Bańka, S., Dworak, P. and Jaroszewski, K. (2011). Problems associated with realization of neural modal controllers designed to control multivariable dynamic systems, in K. Malinowski and R. Dindorf (Eds.), Advances of Automatics and Robotics, Kielce University of Technology Press, Kielce, pp. 27–41, (in Polish).
  8. Bańka, S., Dworak, P. and Jaroszewski, K. (2013). Linear adaptive structure for control of a nonlinear MIMO dynamic plant, International Journal of Applied Mathematics and Computer Science23(1): 47–63, DOI: 10.2478/amcs-2013-0005.10.2478/amcs-2013-0005
  9. Bańka S. and Latawiec, K.J. (2009). On steady-state error-free regulation of right-invertible LTI MIMO plants, Proceedings of the 14th International Conference on Methods and Models in Automation and Robotics, MMAR 2009, Mi˛edzyzdroje, Poland, DOI: 10.3182/20090819-3-PL-3002.00066.10.3182/20090819-3-PL-3002.00066
  10. Chen, J. and Yea, Y. (2002). Neural network-based predictive control for multivariable processes, Chemical Engineering Communications189(7): 865–894.10.1080/00986440213128
  11. Fabri, S. and Kadrikamanathan, V. (2001). Functional Adaptive Control. An Intelligent Systems Approach, Springer-Verlag, Berlin.10.1007/978-1-4471-0319-6
  12. Khalil, H.K. (2001). Nonlinear Systems, Prentice Hall, Englewood Cliffs, NJ.
  13. Ławryńczuk, M. (2010). Explicit neural network-based nonlinear predictive control with low computational complexity, in M. Szczuka, M. Kryszkiewicz, S. Ramanna, R. Jensen and Q. Hu (Eds.), Rough Sets and Current Trends in Computing, Lecture Notes in Computer Science, Vol. 6086, Springer, Berlin/Heidelberg, pp. 649–658.10.1007/978-3-642-13529-3_69
  14. Lee, C., Shin, M. and Chung, M. (2001). A design of gain-scheduled control for a linear parameter varying system: An application to flight control, Control Engineering Practice9(1): 11–21.10.1016/S0967-0661(00)00090-3
  15. Limon, D., Alamo, T. and Camacho, E. (2005). Enlarging the domain of attraction of MPC controllers, Automatica41(4): 629–635.10.1016/j.automatica.2004.10.011
  16. Maciejowski, J. (2002). Predictive Control with Constraints, Prentice Hall, Englewood Cliffs, NJ.
  17. Pedro, J.O. and Dahunsi, O.A. (2011). Neural network based feedback linearization control of a servo-hydraulic vehicle suspension system, International Journal of Applied Mathematics and Computer Science21(1): 137–147, DOI: 10.2478/v10006-011-0010-5.10.2478/v10006-011-0010-5
  18. Qin, S. and Badgwell, T. (2003). A survey of industrial model predictive control technology, Control Engineering Practice11(7): 733–764.10.1016/S0967-0661(02)00186-7
  19. Rawlings, J. and Mayne, D. (2009). Model Predictive Control: Theory and Design, Nob Hill Publishing, Madison, WI.
  20. Shevitz, D. and Paden, B. (1994). Lyapunov stability theory of nonsmooth systems, IEEE Transactions on Automatic Control39(9): 1910–1914.10.1109/9.317122
  21. Tatjewski, P. (2007). Advanced Control of Industrial Processes, Springer-Verlag, London.
  22. Tomera, M. (2010). Nonlinear controller design of a ship autopilot, International Journal of Applied Mathematics and Computer Science20(2): 271–280, DOI: 10.2478/v10006-010-0020-8.10.2478/v10006-010-0020-8
  23. Tzirkel-Hancock, E. and Fallside, F. (1992). Stable control of nonlinear systems using neural networks, International Journal of Robust and Nonlinear Control2(1): 63–86.10.1002/rnc.4590020105
  24. van der Boom, T., Botto, M. and Hoekstra, P. (2005). Design of an analytic constrained predictive controller using neural networks, International Journal of Systems Science36(10): 639–650.10.1080/00207720500150549
  25. Vidyasagar, M. (1985). Control System Synthesis: A Factorization Approach, MIT Press, Cambridge, MA.
  26. Wise, D.A. and English, J.W. (1975). Tank and wind tunnel tests for a drill-ship with dynamic position control, Offshore Technology Conference, Dallas, TX, USA, pp. 103–118.
  27. Witkowska, A., Tomera, M. and Smierzchalski, R. (2007). A backstepping approach to ship course control, International Journal of Applied Mathematics and Computer Science17(1): 73–85, DOI: 10.2478/v10006-007-0007-2.10.2478/v10006-007-0007-2
  28. Zhai, G. and Xu, X. (2010). A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching, International Journal of Applied Mathematics and Computer Science20(2): 249–259, DOI: 10.2478/v10006-010-0018-2.10.2478/v10006-010-0018-2
DOI: https://doi.org/10.2478/amcs-2014-0027 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 357 - 369
Submitted on: Apr 29, 2013
Accepted on: Feb 21, 2014
Published on: Jun 26, 2014
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2014 Stanisław Bańka, Paweł Dworak, Krzysztof Jaroszewski, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.