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Abstract

Dealing with a LQR controller surface subject to power and torque constraints, is an issue of nonlinear problem that is difficult to implement. This paper employs a fuzzy controller surface to replace the LQR surface subject to power and torque constraints by using class stacking, least square and Sugeno-type fuzzy inference mode. Through this type of transformation, called “Optimal fuzzy controller mapped from LQR”, control of the system remains optimal.

Keywords

LQR FLC Fuzzy Sugeno Optimal Class stacking 

References

  1. 1.
    Lewis, F.L.: Applied Optimal Control & Estimation. Prentice Hall, Englewood Cliffs (1992)MATHGoogle Scholar
  2. 2.
    Burl, J.B.: Linear Optimal Control. Addison-Wesley, Reading (1999)Google Scholar
  3. 3.
    Matlab: toolbox: Fuzzy (2010)Google Scholar
  4. 4.
    Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning. Parts 1, 2, and 3. Information Sciences 8, 199–249, 8, 301–357, 9, 43–80 (1975)Google Scholar
  5. 5.
    Mamdani, E.H., Assilian, S.: An Experiment in Linguistic Synthesis with Fuzzy Logic Controller. Int. J. Man Mach. Studies 7(1), 1–13 (1975)MATHCrossRefGoogle Scholar
  6. 6.
    Mamdani, E.H.: Advances in the linguistic synthesis of fuzzy controllers. International Journal of Man-Machine Studies 8, 669–678 (1976)MATHCrossRefGoogle Scholar
  7. 7.
    Sugeno, M.: Fuzzy measures and fuzzy integrals: a survey. In: Gupta, M.M., Saridis, G.N., Gaines, B.R. (eds.) Fuzzy Automata and Decision Processes, pp. 89–102. North-Holland, NY (1977)Google Scholar

Copyright information

© IFIP International Federation for Information Processing 2011

Authors and Affiliations

  • Ping-Ho Chen
    • 1
  • Kuang-Yow Lian
    • 2
  1. 1.Department of EETungnan UniversityTaipeiTaiwan
  2. 2.Department of EENational Taipei University of TechnologyTaipeiTaiwan

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