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Indirect adaptive type-2 bionic fuzzy control

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Abstract

In this study, an indirect adaptive type-2 bionic fuzzy control method is proposed for a class of nonlinear systems. By regarding the niche of each species in an ecosystem as the antecedent, the fuzzy system with biological characteristics is constructed based on the niche “ecostate-ecorole” theory. In the actual system, we design a fuzzy control system using a type-2 bionic fuzzy system and provide both the adaptive law and constraint conditions of the system parameters. The stability of the closed-loop system is proved with all the state variables uniformly bounded in the Lyapunov sense. Additionally, the convergence of the bionic fuzzy control system is analyzed. Finally, the simulation results obtained for a permanent magnet direct current motor demonstrate the effectiveness and superiority of the designed method.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China: bionic intelligent control method of chaotic ecosystems under slow disturbance [grant number 11072090].

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Authors and Affiliations

  1. Faculty of Science, Jiangsu University, Zhenjiang, 212013, Jiangsu, China

    Faxiang Zhang, Jing Hua & Yimin Li

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  1. Faxiang Zhang
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  2. Jing Hua
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  3. Yimin Li
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Correspondence to Yimin Li.

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Zhang, F., Hua, J. & Li, Y. Indirect adaptive type-2 bionic fuzzy control. Appl Intell 48, 541–554 (2018). https://doi.org/10.1007/s10489-017-0991-3

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