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A New Fuzzy PID Control System Based on Fuzzy PID Controller and Fuzzy Control Process

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Abstract

In this paper, we present a fuzzy PID control system as a combination of a fuzzy PID controller and a fuzzy control process, which is represented by a fuzzy control differential equation in linear form. We use the concepts of the generalized Hukuhara differentiability and the fuzzy integral of fuzzy-valued functions to study some qualitative properties for this system in the space of fuzzy numbers. We also study the existence and uniqueness result for solutions of fuzzy PID control differential equations under some suitable conditions. A number of examples are also provided to illustrate the results of the theory.

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Acknowledgements

The authors are very grateful to the anonymous reviewers, associate editor, and editor for their insightful and constructive suggestions that have led to an improved version of this manuscript.

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Authors and Affiliations

  1. Faculty of Engineering Technology, Quang Trung University, Quy Nhon City, Vietnam

    Nguyen Dinh Phu & Nguyen Nhut Hung

  2. Institute of IR 4.0, The National University of Malaysia, 43600 UKM, Bangi, Selangor, Malaysia

    Ali Ahmadian

  3. Institute for Mathematical Research (INSPEM), University Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia

    Norazak Senu

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  1. Nguyen Dinh Phu
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  2. Nguyen Nhut Hung
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  3. Ali Ahmadian
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  4. Norazak Senu
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The authors declare that the paper was realized in collaboration with equal responsibility. All authors read and approved the final manuscript.

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Correspondence to Ali Ahmadian.

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Phu, N.D., Hung, N.N., Ahmadian, A. et al. A New Fuzzy PID Control System Based on Fuzzy PID Controller and Fuzzy Control Process. Int. J. Fuzzy Syst. 22, 2163–2187 (2020). https://doi.org/10.1007/s40815-020-00904-y

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  • DOI: https://doi.org/10.1007/s40815-020-00904-y

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