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Reachable Set Estimation for Singularly Perturbed Systems

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Advances in Guidance, Navigation and Control ( ICGNC 2022)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 845))

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Abstract

The problem of reachable set for singular regenerative systems with bounded perturbations is studied in this paper. Based on the Lyapunov functional method, a Lyapunov-Krasocskii function (LKF) is provided which is about the singularly perturbed parameter \(\eta \). And a criterion is established by linear matrix inequalities (LMIs) such that the system state is contained in a \(\eta \) \(-\)independent ellipsoid. The validity of the results is demonstrated by numerical arithmetic examples.

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References

  1. Feng, Z., Lam, J.: On reachable set estimation of singular systems. Automatica 52, 146–153 (2015)

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  2. Liu, G., Chen, X., Shen, Z., Liu, Y., Jia, X.: Reachable set estimation for continuous delayed singularly perturbed systems with bounded disturbances. Appl. Math. Comput. 416, 126751 (2022)

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Acknowledgments

This work was supported in part by the Education Department Foundation of Liaoning Province under Grant LJKZ1023.

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Authors and Affiliations

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

    Jiawang Wang, Liang Zhang & Xudong Zhang

Authors
  1. Jiawang Wang
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  2. Liang Zhang
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  3. Xudong Zhang
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Corresponding author

Correspondence to Jiawang Wang .

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Editors and Affiliations

  1. Ningbo Institute of Technology, Beihang University, Ningbo, China

    Liang Yan

  2. School of Automation Science and Electrical Engineering, Beihang University, Beijing, Beijing, China

    Haibin Duan

  3. School of Automation Science and Electrical Engineering, Beihang University, Beijing, Beijing, China

    Yimin Deng

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© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Wang, J., Zhang, L., Zhang, X. (2023). Reachable Set Estimation for Singularly Perturbed Systems. In: Yan, L., Duan, H., Deng, Y. (eds) Advances in Guidance, Navigation and Control. ICGNC 2022. Lecture Notes in Electrical Engineering, vol 845. Springer, Singapore. https://doi.org/10.1007/978-981-19-6613-2_559

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