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Adaptive Finite-Time Command-Filtered Control for Switched Nonlinear Systems with Input Quantization and Output Constraints

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Abstract

This article considers the problem of finite-time command-filtered control for switched nonlinear systems with input quantization and output constraints. The unmeasurable state is estimated by designing a switched state observer. During the design process, to overcome the chattering problem effectively, the hysteresis quantization is designed as two bounded nonlinear functions. Furthermore, in order to restrict the output to an expected range, the barrier Lyapunov function approach is introduced. The “explosion of complexity” and the error compensation problems in the backstepping design are solved by using a finite-time command-filtered approach. A first-order Levant differentiator is used instead of the general command filter in this paper, which can not only filter the intermediate signals accurately to get the differential signals, but also ensure the finite-time stability of the filter. Stability of the closed-loop system in the sense of semi-global practical finite-time stability (SGPFS) is proved by exploring a multiple Lyapunov functions approach. Finally, a simulation example is provided to verify the validity of the presented control method.

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Acknowledgements

This work was partially supported by the Education Committee Project of Liaoning Province, China, under Grant LJ2019002.

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Authors and Affiliations

  1. College of Control Science and Engineering, Bohai University, Jinzhou, 121013, Liaoning, China

    Fabin Cheng & Xudong Zhao

  2. College of Mathematical Science, Bohai University, Jinzhou, 121013, Liaoning, China

    Huanqing Wang

  3. School of Control Science and Engineering, Tiangong University, 399 binshuixi Road, Tianjin, 300387, China

    Guangdeng Zong

  4. School of Information Science and Engineering, Shandong Normal University, Jinan, 250014, China

    Ben Niu

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  1. Fabin Cheng
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Correspondence to Xudong Zhao.

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Cheng, F., Wang, H., Zong, G. et al. Adaptive Finite-Time Command-Filtered Control for Switched Nonlinear Systems with Input Quantization and Output Constraints. Circuits Syst Signal Process 42, 147–172 (2023). https://doi.org/10.1007/s00034-022-02088-2

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