4.5 Conclusions
In this chapter, a new design and tuning scheme is proposed for FLCs. The Bezier curve function is used to adjust surface shape by means of varying a set of parameters without the knowledge of traditional FLC parameters (scaling factors, membership functions, and control rules). The proposed tuning method can be applied to various forms of FLCs as the surface shape of these controllers can be readily presented by Bezier functions. In the simulation study, the GA was applied to adjust automatically parameters of Bezier functions and therefore control surfaces of FLCs. Simulation results showed that the proposed design and tuning scheme could significantly improve the overall performance of FLCs.
The fuzzy surfaces obtained by the method proposed in the chapter can be mapped to membership functions, with which one can implement traditional fuzzy logic controllers.
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Zhuang, H., Wongsoontorn, S. (2006). Knowledge-based Tuning I: Design and Tuning of Fuzzy Control Surfaces with Bezier Function. In: Bai, Y., Zhuang, H., Wang, D. (eds) Advanced Fuzzy Logic Technologies in Industrial Applications. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-84628-469-4_4
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