Have a personal or library account? Click to login
Further results on robust fuzzy dynamic systems with LMI D-stability constraints Cover

Further results on robust fuzzy dynamic systems with LMI D-stability constraints

International Journal of Applied Mathematics and Computer Science
Volume 24 (2014): Issue 4 (December 2014)
By: Wudhichai Assawinchaichote  
Open Access
|Dec 2014

References

  1. Assawinchaichote, W. (2012). A non-fragile H∞ output feedback controller for uncertain fuzzy dynamical systems with multiple time-scales, International Journal Computers, Communications & Control 7(1): 8-16.10.15837/ijccc.2012.1.1419
    Search in Google Scholar
  2. Assawinchaichote, W. and Chayaopas, N. (2013). Robust H∞ fuzzy speed control design for brushless DC motor, International Conference on Computer, Electrical, and Systems Sciences, and Engineering, Tokyo, Japan, pp. 1592-1598.
    Search in Google Scholar
  3. Assawinchaichote, W. and Nguang, S.K. (2004a). H∞ filtering for fuzzy singularly perturbed systems with pole placement constraints: An LMI approach, IEEE Transactions on Signal Processing 52(6): 1659-1667.10.1109/TSP.2004.827182
    Search in Google Scholar
  4. Assawinchaichote, W. and Nguang, S.K. (2004b). H∞ fuzzy control design for nonlinear singularly perturbed systems with pole placement constraints: An LMI approach, IEEE Transactions on Systems, Man, and Cybernetics: Part B 34(1): 579-588.10.1109/TSMCB.2003.81708715369094
    Search in Google Scholar
  5. Assawinchaichote, W. and Nguang, S.K. (2006). Fuzzy H∞ output feedback control design for singularly perturbed systems with pole placement constraints: An LMI approach, IEEE Transactions Fuzzy Systems 14(3): 361-371.10.1109/TFUZZ.2006.876328
    Search in Google Scholar
  6. Ball, J.A., Helton, W.J. and Walker, M.L. (1993). H∞ control for nonlinear systems with output feedback, IEEE Transactions on Automatic Control 38(4): 546-559.10.1109/9.250523
    Search in Google Scholar
  7. Ball, J.A., Helton, W.J. and Walker, M.L. (1994). H∞ control of systems under norm bounded uncertainties in all systems matrices, IEEE Transactions on Automatic Control 39(6): 1320-1322.10.1109/9.293205
    Search in Google Scholar
  8. Basar, T. and Olsder, G.J. (1982). Dynamic Noncooperative Game Theory, Academic Press, New York, NY.
    Search in Google Scholar
  9. Bouarar, T., Guelton, K. and Manamanni, N. (2013). Robust non-quadratic static output feedback controller design for Takagi-Sugeno systems using descriptor redundancy, Engineering Applications of Artificial Intelligence 26(42): 739-756.10.1016/j.engappai.2012.11.001
    Search in Google Scholar
  10. Boyd, S., Ghaoui, L.E., Feron, E. and Balakrishnan, V. (1994). Linear Matrix Inequalities in Systems and Control Theory, SIAM Books, Philadelphia, PA.10.1137/1.9781611970777
    Search in Google Scholar
  11. Chayaopas, N. and Assawinchaichote, W. (2013). Speed control of brushless DC mortor with H∞ fuzzy controller based on LMI approach, International Conference Modelling, Indentification and Control, Phuket, Thailand, pp. 21-26.
    Search in Google Scholar
  12. Chen, B.-S., Tseng, C.-S. and Uang, H.-J. (2000). Mixed H2/H∞ fuzzy output feedback control design for nonlinear dynamic systems: An LMI approach, IEEE Transactions on Fuzzy Systems 8(3): 249-265.10.1109/91.855915
    Search in Google Scholar
  13. Chilali, M. and Gahinet, P. (1996). H∞ design with pole placement constraints: An LMI approach, IEEE Transactions on Automatic Control 41(3): 358-367.10.1109/9.486637
    Search in Google Scholar
  14. Chilali, M., Gahinet, P. and Apkarian, P. (1999). Robust pole placement in LMI regions, IEEE Transactions on Automatic Control 44(12): 2257-2270.10.1109/9.811208
    Search in Google Scholar
  15. Fu, M., de Souza, C.E. and Xie, L. (1992). H∞ estimation for uncertain systems, International Journal of Robust and Nonlinear Control 2(1): 87-105.10.1002/rnc.4590020202
    Search in Google Scholar
  16. Gahinet, P., Nemirovski, A., Laub, A.J. and Chilali, M. (1995). LMI Control Toolbox-For Use with MATLAB, The MathWorks, Inc., Natick, MA.
    Search in Google Scholar
  17. Han, Z.X. and Feng, G. (1998). State-feedback H∞ controllers design for fuzzy dynamic system using LMI technique, IEEE World Congress on Computational Intelligence, Anchorage, AL, USA, pp. 538-544.
    Search in Google Scholar
  18. Han, Z.X., Feng, G., Walcott, B.L. and Zhang, Y.M. (2000).
    Search in Google Scholar
  19. H∞ controller design of fuzzy dynamic systems with pole placement constraints, American Control Conference, Chicago, IL, USA, pp. 1939-1943.
    Search in Google Scholar
  20. Hill, D.J. and Moylan, P.J. (1980). Dissipative dynamical systems: Basic input-output and state properties, Journal of the Franklin Institute 309(5): 327-357.10.1016/0016-0032(80)90026-5
    Search in Google Scholar
  21. Isidori, A. and Astolfi, A. (1992). Disturbance attenuation and H∞-control via measurement feedback in nonlinear systems, IEEE Transactions on Automatic Control 37(9): 1283-1293.10.1109/9.159566
    Search in Google Scholar
  22. Joh, J., Chen, Y.H. and Langari, R. (1998). On the stability issues of linear Takagi-Sugeno fuzzy models, IEEE Transactions on Fuzzy Systems 6(3): 402-410.10.1109/91.705508
    Search in Google Scholar
  23. Ma, X.J., Qi Sun, Z. and He, Y.Y. (1998). Analysis and design of fuzzy controller and fuzzy observer, IEEE Transactions on Fuzzy Systems 6(1): 41-51.10.1109/91.660807
    Search in Google Scholar
  24. Mansouri, B., Manamanni, N., Guelton, K., Kruszewski, A. and Guerra, T. (2009). Output feedback LMI tracking control conditions with H∞ criterion for uncertain and disturbed T-S models, Journal of the Franklin Institute 179(4): 446-457.10.1016/j.ins.2008.10.007
    Search in Google Scholar
  25. Park, J., Kim, J. and Park, D. (2001). LMI-based design of stabilizing fuzzy controller for nonlinear system described by Takagi-Sugeno fuzzy model, Fuzzy Sets and Systems 122(1): 73-82.10.1016/S0165-0114(00)00050-6
    Search in Google Scholar
  26. Rezac, M. and Hurak, Z. (2013). Structured MIMO design for dual-stage inertial stabilization: Case study for HIFOO and Hinfstruct solvers, Physics Procedia 23(8): 1084-1093.10.1016/j.mechatronics.2013.08.003
    Search in Google Scholar
  27. Scherer, C., Gahinet, P. and Chilali, M. (1997). Multiobjective output-feedback control via LMI optimization, IEEE Transactions on Automatic Control 42(7): 896-911.10.1109/9.599969
    Search in Google Scholar
  28. Tanaka, K., Ikeda, T. and Wang, H.O. (1996). Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: Quadratic stabilizability, H∞ control theory, and linear matrix inequality, IEEE Transactions on Fuzzy Systems 4(1): 1-13.10.1109/91.481840
    Search in Google Scholar
  29. Tanaka, K. and Sugeno, M. (1992). Stability analysis and design of fuzzy control systems, Fuzzy Sets and Systems 45(2): 135-156.10.1016/0165-0114(92)90113-I
    Search in Google Scholar
  30. Tanaka, K. and Sugeno, M. (1995). Stability and stabiliability of fuzzy neural linear control systems, IEEE Transactions on Fuzzy Systems 3(4): 438-447.10.1109/91.481952
    Search in Google Scholar
  31. Teixeira, M. and Zak, S.H. (1999). Stabilizing controller design for uncertain nonlinear systems using fuzzy models, IEEE Transactions on Fuzzy Systems 7(2): 133-142. van der Schaft, A.J. (1992). L2-gain analysis of nonlinear systems and nonlinear state feedback H∞ control, IEEE Transactions on Automatic Control 37(6): 770-784.
    Search in Google Scholar
  32. Vesely, V., Rosinova, D. and Kucera, V. (2011). Robust static output feedback controller LMI based design via elimination, Journal of the Franklin Institute 348(9): 2468-2479.10.1016/j.jfranklin.2011.04.020
    Search in Google Scholar
  33. Wang, H.O., Tanaka, K. and Griffin, M.F. (1996). An approach to fuzzy control of nonlinear systems: Stability and design issues, IEEE Transactions on Fuzzy Systems 4(1): 14-23.10.1109/91.481841
    Search in Google Scholar
  34. Willems, J.C. (1972). Dissipative dynamical systems, Part I: General theory, Archive for Rational Mechanics and Analysis 45(5): 321-351.10.1007/BF00276493
    Search in Google Scholar
  35. Wonham, W.M. (1970). Random differential equations in control theory, Probabilistic Methods in Applied Mathematics 2(3): 131-212.
    Search in Google Scholar
  36. Yakubovich, V.A. (1967a). The method of matrix inequalities in the stability theory of nonlinear control system I, Automation and Remote Control 25(4): 905-917.
    Search in Google Scholar
  37. Yakubovich, V.A. (1967b). The method of matrix inequalities in the stability theory of nonlinear control system II, Automation and Remote Control 26(4): 577-592. Yeh, K., Chen, C., Chen, C., Lo, D. and Chung, P. (2012). A fuzzy Lyapunov LMI criterion to a chaotic system, Physics Procedia 25(1): 262-269.10.1016/j.phpro.2012.03.082
    Search in Google Scholar
  38. Yoneyama, J., Nishikawa, M., Katayama, H. and Ichikawa, A. (2000). Output stabilization of Takagi-Sugeno fuzzy system, Fuzzy Sets and Systems 111(2): 253-266.10.1016/S0165-0114(98)00121-3
    Search in Google Scholar
  39. Zadeh, L.A. (1965). Fuzzy set, Information and Control 8(3): 338-353.10.1016/S0019-9958(65)90241-X
    Search in Google Scholar
  40. Zhang, J.M., Li, R.H. and Zhang, P.A. (2001). Stability analysis and systematic design of fuzzy control system, Fuzzy Sets and Systems 120(1): 65-72. 10.1016/S0165-0114(99)00056-1
    Search in Google Scholar
DOI: https://doi.org/10.2478/amcs-2014-0058 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Journal RSS Feed
Language: English
Page range: 785 - 794
Submitted on: Mar 18, 2014
Published on: Dec 20, 2014
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
fuzzy controller,
robust H∞ control,
LMI approach,
D-stability,
Takagi-Sugeno fuzzy model
Related subjects:
Mathematics,
Applied mathematics

© 2014 Wudhichai Assawinchaichote, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Previous articleVolume 24 (2014): Issue 4 (December 2014)Next article