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Faired MISO B-Spline Fuzzy Systems and Its Applications

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  • Tan Yanhua
  • Li Hongxing

Abstract

We construct two classes of faired MISO B-spline fuzzy systems using the fairing method in computer-aided geometric design (CAGD) for reducing adverse effects of the inexact data. Towards this goal, we generalize the faring method to high-dimension cases so that the faring method only for SISO and DISO B-spline fuzzy systems is extended to fair the MISO ones. Then the problem to construct a faired MISO B-spline fuzzy systems is transformed into solving an optimization problem with a strictly convex quadratic objective function and the unique optimal solution vector is taken as linear combination coefficients of the basis functions for a certain B-spline fuzzy system to obtain a faired MISO B-spline fuzzy system. Furthermore, we design variable universe adaptive fuzzy controllers by B-spline fuzzy systems and faired B-spline fuzzy systems to stabilize the double inverted pendulum. The simulation results show that the controllers by faired B-spline fuzzy systems perform better than those by B-spline fuzzy systems, especially when the data for fuzzy systems are inexact.

Suggested Citation

  • Tan Yanhua & Li Hongxing, 2013. "Faired MISO B-Spline Fuzzy Systems and Its Applications," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, March.
    • Handle: RePEc:hin:jnlmpe:870595
    DOI: 10.1155/2013/870595
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