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Stability of softly switched multiregional dynamic output controllers with a static antiwindup filter: A discrete-time case

International Journal of Applied Mathematics and Computer Science
Volume 23 (2013): Issue 1 (March 2013)
By:
Open Access
|Mar 2013

References

  1. Castelan, E., Leite, V., Miranda, M. and Moraes, V. (2010). Synthesis of output feedback controllers for a class of nonlinear parameter-varying discrete-time systems subject to actuator limitations, Proceedings of the American ControlConference, ACC 2010, Baltimore, MD, USA, pp. 4235-4240.
    Search in Google Scholar
  2. Castelan, E., Moreno, U. and de Pieri, E. (2006). Absolute stabilisation of discrete-time systems with sector bounded nonlinearity under control saturations, IEEE InternationalSymposium on Circuits and Systems, ISCAS 2006, Islandof Kos, Greece, pp. 3105-3108.
    Search in Google Scholar
  3. Domański, P., Brdyś, M.A. and Tatjewski, P. (1999). Design and stability of fuzzy logic multi-regional output controllers, International Journal of Applied Mathematics and ComputerScience 9(4): 883-897.
    Search in Google Scholar
  4. Feng, G. (2006). A survey on analysis and design of model-based fuzzy control systems, IEEE Transactionon Fuzzy Systems 14(5): 676-697, DOI: 10.1109/TFUZZ.2006.883415.10.1109/TFUZZ.2006.883415
    Search in Google Scholar
  5. Gomes da Silva, Jr., J.M., Corso, J. and Castelan, E. (2008). Output feedback stabilization for systems presenting sector-bounded nonlinearities and saturating inputs, Proceedingsof the 17th IFAC World Congress, Seoul, Korea, pp. 14109-14114.
    Search in Google Scholar
  6. Gomes da Silva, Jr., J.M. and Tarbouriech, S. (2006). Anti-windup design with guaranteed regions of stability for discrete-time linear systems, System Control Letters55(3): 184-192, DOI: 10.1016/j.sysconle.2005.07.001.10.1016/j.sysconle.2005.07.001
    Search in Google Scholar
  7. Han, Y., Brdyś, M. and Piotrowski, R. (2008). Nonlinear PI control for dissolved oxygen tracking at wastewater treatment plant, Proceedings of the IFAC WorldCongress, IFAC WC 2008, Seoul, Korea, DOI: 10.3182/20080706-5-KR-1001.0477.
    Search in Google Scholar
  8. Khalil, H. (1996). Nonlinear Systems, 2nd Edn., Prentice-Hall, Upper Saddle River, NJ.
    Search in Google Scholar
  9. Klug, M., Castelan, E. and Leite, V. (2011). A dynamic compensator for parameter varying systems subject to actuator limitations applied to a T-S fuzzy system, Proceedingsof the IFAC World Congress, IFAC WC 2011, Milan,Italy, pp. 14495-14500.
    Search in Google Scholar
  10. Qi, R. and Brdyś, M. (2008). Stable indirect adaptive control based on discrete-time T-S fuzzy model, Fuzzy Sets and Systems 159(8): 900-925, DOI: 10.1016/j.fss.2007.08.009.10.1016/j.fss.2007.08.009
    Search in Google Scholar
  11. Qi, R. and Brdys, M.A. (2009). Indirect adaptive controller based on a self-structuring fuzzy system for nonlinear modeling and control, International Journal of AppliedMathematics and Computer Science 19(4): 619-630, DOI: 10.2478/v10006-009-0049-8.10.2478/v10006-009-0049-8
    Search in Google Scholar
  12. Rhee, B.-J. and Won, S. (2006). A new fuzzy Lyapunov function approach for Takagi-Sugeno fuzzy control systems design, Fuzzy Sets and Systems 157(9): 1211-1228, DOI:10.1016/j.fss.2005.12.020.10.1016/j.fss.2005.12.020
    Search in Google Scholar
  13. Tanaka, K., Ikeda, T. and Wang, H. (1998). Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based design, Fuzzy Sets and Systems 6(2): 250-265, DOI: 10.1109/91.669023.10.1109/91.669023
    Search in Google Scholar
  14. Tanaka, K. and Sugeno, M. (1992). Stability analysis and design of fuzzy control systems, Fuzzy Sets and Systems45(2): 135-156, DOI: 10.1016/0165-0114(92)90113-I.10.1016/0165-0114(92)90113-I
    Search in Google Scholar
  15. Tatjewski, P. (2007). Advanced Control of Industrial Processes:Structures and Algorithms, Springer, London.
    Search in Google Scholar
  16. Wang, Y., Sun, Z. and Sun, F. (2004). Stability analysis and control of discrete-time fuzzy systems: A fuzzy Lyapunov function approach, Proceedings of the 5th Asian ControlConference, Melbourne, Australia, pp. 1855-1860, DOI: 10.1109/ASCC.2004.184913.
    Search in Google Scholar
  17. Xiu, Z. and Ren, G. (2005). Stability analysis and systematic design of Takagi-Sugeno fuzzy control systems, Fuzzy Sets and Systems 151(1): 119-138, DOI: 10.1016/j.fss.2004.04.008.10.1016/j.fss.2004.04.008
    Search in Google Scholar
  18. Yaochu, J. (2002). Advanced Fuzzy Systems Design and Applications, Physica-Verlag, Heidelberg/New York, NY.
    Search in Google Scholar
  19. Zubowicz, T., Brdy´s, M. and Piotrowski, R. (2010). Intelligent PI controller and its application to dissolved oxygen tracking problem, Journal of Automation, Mobile Robotics& Intelligent Systems 4(3): 16-24.
    Search in Google Scholar
DOI: https://doi.org/10.2478/amcs-2013-0006 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
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Language: English
Page range: 65 - 73
Published on: Mar 26, 2013
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 4 times per year
Keywords:
Lyapunov,
stability analysis,
fuzzy control,
antiwindup
Related subjects:
Mathematics,
Applied mathematics

© 2013 Tomasz Zubowicz, Mietek A. Brdyś, published by Sciendo
This work is licensed under the Creative Commons License.

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