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Predefined-time fuzzy adaptive output feedback control for non-strict feedback stochastic nonlinear systems with state constraints

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Abstract

The predefined-time fuzzy adaptive output feedback control problem is considered for non-strict feedback stochastic nonlinear systems with state constraints. Since the controlled plant contains unknown nonlinear dynamics and unmeasured states, the unknown nonlinear dynamics are handled by using fuzzy approximation technique, and a fuzzy state observer is established to estimate unmeasured states. Then, under the frameworks of a predefined-time stability theory and backstepping control design technique, a new fuzzy adaptive output feedback control method is proposed. It is proved that the controlled system is semi-global practically predefined-time stable in probability by constructing suitable barrier Lyapunov functions. Finally, the spring–mass–damper system is given to confirm the effectiveness of the presented control method.

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Acknowledgements

This work is supported the National Natural Science Foundation of China (under Grant No. 62173172).

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Authors and Affiliations

  1. College of Science, Liaoning University of Technology, Shiying, Jinzhou, 121001, Liaoning, China

    Mengyuan Cui & Shaocheng Tong

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  1. Mengyuan Cui
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  2. Shaocheng Tong
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Correspondence to Shaocheng Tong.

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Cui, M., Tong, S. Predefined-time fuzzy adaptive output feedback control for non-strict feedback stochastic nonlinear systems with state constraints. Neural Comput & Applic 36, 3037–3048 (2024). https://doi.org/10.1007/s00521-023-09123-6

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