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Observer-Based Adaptive Control for Uncertain Fractional-Order T-S Fuzzy Systems with Output Disturbances

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Abstract

This paper is devoted to the observer-based adaptive robust control for fractional-order Takagi–Sugeno (T-S) fuzzy systems with input uncertainties and output disturbances. By combining system states and output perturbations as new state variables, an augmented fuzzy system whose state variables are unknown is built. Furthermore, an observer is devised to simultaneously estimate unmeasurable system states together with unknown external disturbances. Two stability theorems are derived to prove the asymptotic stability of the error system based on linear matrix inequalities and Lyapunov stability theory. Finally, simulation results are provided to demonstrate the effectiveness of the designed method.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant Nos. 72074149 and 72374141.

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Authors and Affiliations

  1. Business School, University of Shanghai for Science and Technology, Shanghai, 200093, China

    Yilin Hao & Zhiming Fang

  2. School of Intelligent Emergency Management, University of Shanghai for Science and Technology, Shanghai, 200093, China

    Yilin Hao & Zhiming Fang

  3. School of Mathematics and Physics, Guangxi Minzu University, Nanning, 530006, China

    Heng Liu

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  1. Yilin Hao
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Correspondence to Zhiming Fang.

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Hao, Y., Liu, H. & Fang, Z. Observer-Based Adaptive Control for Uncertain Fractional-Order T-S Fuzzy Systems with Output Disturbances. Int. J. Fuzzy Syst. 26, 1783–1801 (2024). https://doi.org/10.1007/s40815-024-01703-5

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