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Active Mode Identification and Continuous State Estimation for Switched Linear Systems with Unknown Inputs and Slow Switching Signal

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Abstract

This paper addresses the issue of state observation for a switched linear system with unknown inputs and slow switching signal when the current mode (active mode) of the switched system is unknown. First, both state and output transformations are considered to deal with the unknown inputs of the switched system, and a reduced-order switched system that eliminates the effects of unknown inputs is constructed. Second, for each reduced-order subsystem, a corresponding observer is designed, and multi-observers for the reduced-order switched system are developed. Next, a kind of active mode identification method is proposed by minimizing the output residual norms that are derived from multi-observers. Third, based on the identified active mode, the continuous state estimation of the original switched system is approximately realized. Finally, a simulation example is given to illustrate the effectiveness of the proposed methods.

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Acknowledgments

The authors are grateful to the editor in chief, Dr. M. N. S. Swamy, for his helpful comments in improving the presentation of this paper, and the anonymous reviewers for their valuable comments and suggestions for further improving the quality of this article. This work is supported by National Nature Science Foundation of China (61403129). This work is also supported by the Fund of Key Laboratory of control engineering of Henan Province (KG2014-08), the Project of Henan Province Science and Technology Agency (142102210048), and the Program of Natural Science of Henan Provincial Education Department (13B413028, 13B413035).

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Authors and Affiliations

  1. College of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, 454000, People’s Republic of China

    Junqi Yang, Yantao Chen & Xin Wang

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  1. Junqi Yang
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  2. Yantao Chen
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  3. Xin Wang
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Correspondence to Junqi Yang.

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Yang, J., Chen, Y. & Wang, X. Active Mode Identification and Continuous State Estimation for Switched Linear Systems with Unknown Inputs and Slow Switching Signal. Circuits Syst Signal Process 34, 2193–2211 (2015). https://doi.org/10.1007/s00034-014-9965-4

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  • DOI: https://doi.org/10.1007/s00034-014-9965-4

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