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Robust Control of Piecewise Linear Switched System with Constrained Input and Ellipsoid

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Proceedings of 2016 Chinese Intelligent Systems Conference (CISC 2016)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 404))

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Abstract

This paper deals with the uncertain linear discrete-time switched systems with constrained control input and ellipsoid. The piecewise linear systems is described as ellipsoid which can be characterized by a set of vector inequalities, thereby the constraint of LMIs (linear matrix inequalities) is released. In terms of LMIs, the perturbed impulsive switched system with constrained control input can be robust stabilized in Lyapunov theory. The simulation results verify the effectiveness of the proposed method.

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Acknowledgments

This work is partially supported by National Natural Science Foundation of China (51379044, 61304060).

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Authors and Affiliations

  1. College of Automation, Harbin Engineering University, Harbin, 150001, China

    Zhilin Liu, Xin Yuan & Li Su

  2. School of Electrical and Information Engineering, Jiangsu University, Zhenjiang, 212013, China

    Jun Zhang

Authors
  1. Zhilin Liu
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  2. Xin Yuan
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  3. Jun Zhang
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  4. Li Su
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Corresponding author

Correspondence to Zhilin Liu .

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Editors and Affiliations

  1. Beihang University , Beijing, China

    Yingmin Jia

  2. Beijing University of Posts and Telecommunications, Beijing, China

    Junping Du

  3. University of Science and Technology Beijing, Beijing, China

    Weicun Zhang

  4. Tsinghua University , Beijing, China

    Hongbo Li

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© 2016 Springer Science+Business Media Singapore

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Liu, Z., Yuan, X., Zhang, J., Su, L. (2016). Robust Control of Piecewise Linear Switched System with Constrained Input and Ellipsoid. In: Jia, Y., Du, J., Zhang, W., Li, H. (eds) Proceedings of 2016 Chinese Intelligent Systems Conference. CISC 2016. Lecture Notes in Electrical Engineering, vol 404. Springer, Singapore. https://doi.org/10.1007/978-981-10-2338-5_7

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  • DOI: https://doi.org/10.1007/978-981-10-2338-5_7

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-2337-8

  • Online ISBN: 978-981-10-2338-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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