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New Framework for Fuzzy Logic Reasoning: A Robust Control Theoretic Approach

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Abstract

Fuzzy reasoning gathered significant attention for its extensive utility since it was introduced. This work puts emphasis on its theoretical aspects and presents a framework for fuzzy logic reasoning considering time-varying uncertainty based on robust control theory. The proposed framework is built upon one basic setting, the Fundamental Axiom of Reasoning, which provides a criterion to demonstrate the validness of a chain reasoning by analytically quantifying its truth value based on multiple fuzzy implication models. The fuzzy reasoning system is casted to a dynamic system where the reasoning process is proactively controlled without violating the basic setting. The time-varying uncertainty in system variables or parameters is addressed by involving the delicately designed robust control. Furthermore, the diverse ways in which time-varying uncertainty impacts the system are also discussed, from modeling stage to control stage. Finally, an automated speed control problem with time-varying uncertainty is considered to demonstrate how to apply the proposed framework.

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Data availability statment

The datasets generated or analysed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This research is sponsored in part by the key R&D projects of the ministry of science and technology (No. 2020YFB1710901) and in part by the NSFC Program (No. 61872217, No. U20A20285, No. 52122217, No. U1801263). This research is also sponsored by the China Scholarship Council.

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Authors and Affiliations

  1. School of Vehicle and Mobility, Tsinghua University, Beijing, 100084, China

    Tianchuang Meng, Jin Huang, Huiqian Li, Xingyu Li, Bowei Zhang, Jianping Hao, Diange Yang & Zhihua Zhong

  2. The George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, 30332, USA

    Ye-Hwa Chen

  3. Department of Mechanical Engineering, National University of Singapore, Singapore, 117575, Singapore

    Tianchuang Meng & Chee-Meng Chew

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  1. Tianchuang Meng
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  2. Jin Huang
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Correspondence to Jin Huang.

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Meng, T., Huang, J., Chen, YH. et al. New Framework for Fuzzy Logic Reasoning: A Robust Control Theoretic Approach. Int. J. Fuzzy Syst. 26, 463–481 (2024). https://doi.org/10.1007/s40815-023-01606-x

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