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Mixed-delay-dependent L2-L∞ Filtering for Neutral Stochastic Systems with Time-varying Delays

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Abstract

This paper studies the issue on mixed-delay-dependent \(\mathcal{L}_2-\mathcal{L}_\infty\) filter design for a class of neutral stochastic system with time-varying delays. By making full use of the information and interrelationship of time-delays, an augmented Lyapunov-Krasovskii functional (LKF) is constructed for the filtering error system. In the derivation process, some Writinger-based integral inequalities and an extend reciprocal convex technique (ERCT) are utilized to estimate the lower bound of \(\mathcal{L}_2-\mathcal{L}_\infty\) disturbance attention level. Based on the derived stability criteria, two sufficient conditions on the existence of full-order \(\mathcal{L}_2-\mathcal{L}_\infty\) filter are presented in terms of linear matrix inequalities (LMIs), which can be easily tested and less conservative. Finally, two cases in an example are given to demonstrate the effectiveness of the proposed approach.

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Authors and Affiliations

  1. School of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, P. R. China

    Yaobo Yu, Xiaoling Tang & Tao Li

  2. School of Automation, Southeast University, Nanjing, 210096, P. R. China

    Shumin Fei

Authors
  1. Yaobo Yu
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  2. Xiaoling Tang
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  3. Tao Li
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  4. Shumin Fei
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Correspondence to Tao Li.

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

Recommended by Associate Editor Yingmin Jia under the direction of Editor Fumitoshi Matsuno. This work was supported by National Natural Science Foundation of China (Nos. 61873123, 61873127, 61603179) and Natural Science Foundation of Jiangsu Province(Grant No. BK20171419).

Yaobo Yu received his bachelor’s degree in Engineering from Nanjing University of Posts and Telecommunications in 2017 China and currently, he is a master graduate student at Nanjing University of Aeronautics and Astronautics. His research includes neutral systems with its application to the filter design.

Xiaoling Tang received her bachelor’s degree in Engineering from Nanjing Normal University in 2017 China and currently, she is a master graduate student at Nanjing University of Aeronautics and Astronautics. Her research includes networked control systems with its application to the flight control.

Tao Li received his Ph.D. degree in engineering from Southeast University in 2008 and was a postdoctoral research fellow at School of Instrument Science and Engineering of Southeast University during 2008 and 2011, China. He has been a visiting scholar at Control System Center of The Manchester University from year 2016 to 2017. He is currently an associate professor at School of Automation Engineering, Nanjing University of Aeronautics and Astronautics in China. His current research interests include neural networks, time-delay systems, networked control systems.

Shumin Fei received his Ph.D. degree from Beijing University of Aeronautics and Astronautics in 1995, China. From 1995 to 1997, he carried out his postdoctoral research at Research Institute of Automation of Southeast University, China. Presently, he is a professor and doctoral supervisor at School of Automation of Southeast University in China. He has published more than 100 journal papers and his current research interests include nonlinear systems, time-delay system, complex systems.

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Yu, Y., Tang, X., Li, T. et al. Mixed-delay-dependent L2-L∞ Filtering for Neutral Stochastic Systems with Time-varying Delays. Int. J. Control Autom. Syst. 17, 2862–2870 (2019). https://doi.org/10.1007/s12555-019-0160-z

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  • DOI: https://doi.org/10.1007/s12555-019-0160-z

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