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State observers of quasi-reversible discrete-time switched linear systems

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Abstract

This work addresses observer design for the general class of quasi-reversible discrete-time switched linear systems. Under the mild assumption that the switched system is observable, we present constructive approaches to design state observers to estimate the state. Two types of observers are designed: one is with full order and the other is with reduced order, both could reconstruct the system state in finite times. A numerical example is presented to illustrate the effectiveness of the proposed approaches.

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Acknowledgements

The authors are grateful to the anonymous reviewers for their constructive comments.

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Authors and Affiliations

  1. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, 266590, China

    Zhendong Sun & Qiang Zhang

Authors
  1. Zhendong Sun
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  2. Qiang Zhang
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Corresponding author

Correspondence to Zhendong Sun.

Additional information

This work was supported by the National Key R &D Program of China (2018YFA0703800) and the Natural Science Foundation of Shandong Province (ZR2020ZD26).

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Sun, Z., Zhang, Q. State observers of quasi-reversible discrete-time switched linear systems. Control Theory Technol. 21, 390–396 (2023). https://doi.org/10.1007/s11768-023-00156-9

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  • DOI: https://doi.org/10.1007/s11768-023-00156-9

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