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Composite adaptive fuzzy decentralized tracking control for pure-feedback interconnected large-scale nonlinear systems

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Abstract

This paper focuses on a problem of composite adaptive fuzzy decentralized tracking control for a class of uncertain pure-feedback interconnected large-scale nonlinear systems with unmeasurable states. A fuzzy state observer is designed by using fuzzy logic systems; thus, the unmeasurable states of pure-feedback nonlinear systems are estimated based on the designed fuzzy state observer. A serial–parallel estimation model is designed by using the fuzzy state observer. To avoid the analytic computation, the command filters are employed to produce the command signals and their derivatives. The fuzzy adaptive laws are constructed by using prediction errors and compensating tracking errors. Finally, a controller is constructed by dynamic surface control technique. Through the proposed control method, all the signals in the closed-loop system are bounded, and the output of the system can track the given reference signal. The simulation studies verify the effectiveness of the proposed control method in this paper.

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Acknowledgements

This work was supported by the Natural Science Foundation of China (61903169; 51674140), the Natural Sciences and Engineering Research Council of Canada (NSERC) and the Natural Science Foundation of Liaoning (2019-BS-126; 2019-MS-173).

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Correspondence to Xin Deng.

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Cui, Y., Liu, X. & Deng, X. Composite adaptive fuzzy decentralized tracking control for pure-feedback interconnected large-scale nonlinear systems. Neural Comput & Applic 33, 8735–8751 (2021). https://doi.org/10.1007/s00521-020-05622-y

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