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H∞ Filtering for a Class of Singular Time-delay Systems

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Abstract

This paper describes the H∞ filtering problem for a class of nonlinear singular time-delay systems. A sufficient condition for the existence of H∞ filter is given. Based on the Cayley-Hamilton Theorem and Lyapunov stability theory, the H∞ filter is designed such that the filtering error is asymptotically stable and satisfies the prescribed H∞ performance. In terms of linear matrix inequality, a sufficient condition for the solvability of the addressed problem is obtained. Finally, some numerical examples are employed to demonstrate the effectiveness of the proposed approaches.

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Authors and Affiliations

  1. College of Sciences, Northeastern University, Shenyang, Liaoning, 110004, China

    Juan Zhou, Yuanwei Lv, Bo Pang & Cuiping Xue

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  1. Juan Zhou
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  2. Yuanwei Lv
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  3. Bo Pang
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  4. Cuiping Xue
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Correspondence to Juan Zhou.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Shihua Li under the direction of Editor PooGyeon Park. This work was supported by the Fundamental Research Funds for the Central Universities (N160503004).

Juan Zhou received her Ph.D. degree from Northeastern University in 2014. She is currently a lecturer in Northeastern University. Her research interests are in the areas of singular systems.

Yuanwei Lv is an undergraduate of Northeast University. Her research interests are in the field of control theory.

Bo Pang received her M.Sc. degree in Operational Research and Cybernetics from Northeastern University, in 2016. She is now pursuing a Ph.D. degree in Control Theory and Control Engineering at Northeastern University. Her current research interests focus on T-S fuzzy system, sliding mode control and singular system.

Cuiping Xue received her M.Sc. degree from Northeastern University in 2006. She is currently a lecturer in Northeastern University. Her research interests are in the areas of predictive fault diagnosis.

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Zhou, J., Lv, Y., Pang, B. et al. H∞ Filtering for a Class of Singular Time-delay Systems. Int. J. Control Autom. Syst. 17, 3131–3139 (2019). https://doi.org/10.1007/s12555-018-0939-3

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  • DOI: https://doi.org/10.1007/s12555-018-0939-3

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