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Quasi-time-Dependent \(l_2-l_\infty \) Filtering of Discrete-Time Switched Systems with Admissible Edge-Dependent Average Dwell Time

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Abstract

The \(l_2-l_{\infty }\) filtering problem is studied for a class of discrete-time switched systems under the admissible edge-dependent average dwell time (AED-ADT) switching. Firstly, a new multiple convex Lyapunov function (MCLF) is established as a convex combination form in the context of the \(l_2-l_{\infty }\) filtering problem. Then, corresponding to the MCLF, the quasi-time-dependent switched filter is proposed for the considered switched system, and the sufficient conditions are derived to ensure that the filtering error system is globally uniformly exponentially stable with a prescribed \(l_2-l_{\infty }\) performance index. Owing to the quasi-time-dependent and multi-degree-of-freedom properties of the designed switched filter, the wider feasibility regions of system parameters, more desirable \(l_2-l_{\infty }\) disturbance attenuation levels and tighter bounds on the AED-ADT can be acquired. Finally, a numerical example is given to expound that our approach outperforms the extant results.

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Acknowledgements

This work was supported by the Project of Shandong Province Higher Educational Science and Technology Program (J18KA324) and the National Natural Science Foundation of China (61773236).

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Authors and Affiliations

  1. School of Information and Control Engineering, Qingdao University of Technology, Qingdao, 266520, Shandong, China

    Ruihua Wang, Bingxin Xue & Jingbo Zhao

  2. Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, Southeast University, Nanjing, 210096, Jiangsu, China

    Ruihua Wang & Shumin Fei

  3. School of Information Science and Engineering, Qufu Normal University, Rizhao, 276826, Shandong, China

    Linlin Hou

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  1. Ruihua Wang
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  2. Bingxin Xue
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Correspondence to Ruihua Wang.

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Wang, R., Xue, B., Hou, L. et al. Quasi-time-Dependent \(l_2-l_\infty \) Filtering of Discrete-Time Switched Systems with Admissible Edge-Dependent Average Dwell Time. Circuits Syst Signal Process 39, 4320–4338 (2020). https://doi.org/10.1007/s00034-020-01386-x

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