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Finite-time prescribed performance control of MEMS gyroscopes

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Abstract

This paper addresses the finite-time prescribed performance control of MEMS gyroscopes. From the perspective of practical engineering, this paper arranges the desirable transient and steady-state performances according to the engineering requirements in the controller design procedure. For the tracking performance, prescribed performance control is studied to limited the steady-state error and the maximum overshoot. For the prescribed settling time, super-twisting sliding mode control and nonsingular terminal sliding mode control are employed to achieve finite-time convergence, respectively. The system stability is verified via Lyapunov approach. Through simulation tests, it is demonstrated that prescribed performance and finite-time convergence can be obtained under the proposed control scheme.

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Acknowledgements

The authors declare that they have no conflict of interest. This work was supported in part by the Science, Technology and Innovation Commission of Shenzhen Municipality under Grant JCYJ20190806154612782, in part by the National Natural Science Foundation of China under Grant 61933010 and in part by the Innovation Foundation for Doctor Dissertation of Northwestern Polytechnical University under Grant CX201954.

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Authors and Affiliations

  1. Research and Development Institute of Northwestern Polytechnical University in Shenzhen, Shenzhen, 518057, China

    Rui Zhang & Bin Xu

  2. School of Automation, Northwestern Polytechnical University, Xi’an, 710072, China

    Rui Zhang & Bin Xu

  3. Shanghai Aerospace Control Technology Institute, Shanghai, 201109, China

    Wanliang Zhao

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  1. Rui Zhang
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  2. Bin Xu
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  3. Wanliang Zhao
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Correspondence to Bin Xu.

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Zhang, R., Xu, B. & Zhao, W. Finite-time prescribed performance control of MEMS gyroscopes. Nonlinear Dyn 101, 2223–2234 (2020). https://doi.org/10.1007/s11071-020-05959-y

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