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Observer Design for Discrete-Time Switched Lipschitz Nonlinear Singular Systems with Time Delays and Unknown Inputs

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Proceedings of the 2015 Chinese Intelligent Systems Conference

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

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Abstract

In this paper, the state estimation problem for a class of discrete-time switched nonlinear singular systems simultaneously subject to Lipschitz constraints, state delays, unknown inputs (UIs), and arbitrary switching sequences is considered. A mode-dependent observer is constructed and, based on the idea of exact state and UI decoupling, sufficient conditions for the existence of the proposed observer are given in terms of linear matrix inequalities. By defining a decay-rate-dependent switched Lyapunov function, the convergence rate of the state estimation error is proved to be exponential.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (61473158) and the Natural Science Foundation of Jiangsu Province (BK20141430).

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Authors and Affiliations

  1. College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, 210023, China

    Jinxing Lin

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  1. Jinxing Lin
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Correspondence to Jinxing Lin .

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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. Tsinghua University, Beijing, China

    Hongbo Li

  4. University of Science & Technology Beijing, Beijing, China

    Weicun Zhang

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Lin, J. (2016). Observer Design for Discrete-Time Switched Lipschitz Nonlinear Singular Systems with Time Delays and Unknown Inputs. In: Jia, Y., Du, J., Li, H., Zhang, W. (eds) Proceedings of the 2015 Chinese Intelligent Systems Conference. Lecture Notes in Electrical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48386-2_1

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  • DOI: https://doi.org/10.1007/978-3-662-48386-2_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-48384-8

  • Online ISBN: 978-3-662-48386-2

  • eBook Packages: EngineeringEngineering (R0)

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