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Improved Results on Robust Energy-to-Peak Filtering for Continuous-Time Uncertain Linear Systems

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Abstract

This paper addresses the problem of energy-to-peak filtering for continuous-time systems with polytope uncertainties. The aim is to design a new robust filtering that guarantees the filtering error system is asymptotically stable with a prescribed energy-to-peak performance. Parameter-dependent Lyapunov approach and Finsler’s lemma are used to achieve this aim. Sufficient condition for the existence of energy-to-peak filtering is presented in terms of linear matrix inequalities. The proposed method is less conservative than the earlier results by adding more slack matrices. A simulation is given to show the effectiveness of the proposed method.

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Acknowledgements

The authors would like to thank the Editors and the anonymous reviewers for their constructive comments which have improved the presentation of this paper. This work was supported in part by the Research Project of the Liaoning Mechatronics College, China (Grant No.2017010).

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Authors and Affiliations

  1. Liaoning Mechatronics College, Dandong, Liaoning, 118009, People’s Republic of China

    Quancheng Cheng & Baoying Cui

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  1. Quancheng Cheng
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  2. Baoying Cui
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Correspondence to Quancheng Cheng.

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Cheng, Q., Cui, B. Improved Results on Robust Energy-to-Peak Filtering for Continuous-Time Uncertain Linear Systems. Circuits Syst Signal Process 38, 2335–2350 (2019). https://doi.org/10.1007/s00034-018-0965-7

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  • DOI: https://doi.org/10.1007/s00034-018-0965-7

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