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Adaptive state-feedback stabilization of state-constrained stochastic high-order nonlinear systems

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  • Special Focus on Control and Analysis for Stochastic Systems
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Abstract

This paper presents an adaptive state-feedback strategy for state-constrained stochastic high-order nonlinear systems. By adding a power integrator and adaptive backstepping techniques, a new adaptive controller is constructed without imposing feasibility conditions, which guarantees that all closed-loop signals are bounded almost surely, full-state constraints are not violated almost surely, and the trivial solution of the closed-loop system is stochastically asymptotically stable.

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Acknowledgements

This work was supported by the Taishan Scholar Project of Shandong Province of China (Grant No. ts201712040) and National Natural Science Foundation of China (Grant No. 62073186).

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Authors and Affiliations

  1. Institute of Automation, Qufu Normal University, Qufu, 273165, China

    Rongheng Cui & Xuejun Xie

Authors
  1. Rongheng Cui
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  2. Xuejun Xie
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Correspondence to Xuejun Xie.

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Cui, R., Xie, X. Adaptive state-feedback stabilization of state-constrained stochastic high-order nonlinear systems. Sci. China Inf. Sci. 64, 200203 (2021). https://doi.org/10.1007/s11432-021-3293-0

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  • DOI: https://doi.org/10.1007/s11432-021-3293-0

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