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Global state feedback stabilization of nonlinear systems with unknown functions

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Abstract

This paper studies the global state feedback stabilization problem of nonlinear systems with unknown functions. Firstly, in order to deal with the problem of unknown functions, a Lemma is proposed and proved. The assumption of unknown function is avoided, so the conservatism is reduced. Secondly, based on Lyapunov analysis and backstepping method, a global stabilization control algorithm for systems with unknown functions is proposed. The algorithm does not use adaptive control method, so the control scheme is relatively simple. Finally, in order to verify the effectiveness, the proposed algorithm is applied to the stabilization problem of a single-link robot and Chua’s oscillator system.

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Author information

Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    Fujin Jia

  2. School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, 210023, People’s Republic of China

    Junwei Lu

  3. School of Science, Huzhou Teachers College, Huzhou, 313000, Zhejiang, People’s Republic of China

    Yongmin Li

  4. School of Electronics and Information, Nanjing Vocational College of Information Technology, Nanjing, 210094, People’s Republic of China

    Fangyuan Li

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  1. Fujin Jia
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  2. Junwei Lu
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  3. Yongmin Li
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  4. Fangyuan Li
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Correspondence to Fujin Jia.

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Jia, F., Lu, J., Li, Y. et al. Global state feedback stabilization of nonlinear systems with unknown functions. Nonlinear Dyn 104, 3633–3641 (2021). https://doi.org/10.1007/s11071-021-06450-y

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