Circuits, Systems, and Signal Processing

, Volume 38, Issue 5, pp 2335–2350 | Cite as

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

  • Quancheng ChengEmail author
  • Baoying Cui
Short Paper


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.


Energy-to-peak filtering Polytope uncertainties Finsler’s lemma LMIs 



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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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Liaoning Mechatronics CollegeDandongPeople’s Republic of China

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