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l2-l∞ Control for Sampled-data Systems with Packet Dropout: Switched System Method

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Abstract

In this paper, the problem of l2-l∞ control is investigated for the sampled-data systems including packet dropout. The sampled-data system is modeled as a discrete-time switched system based on the number of lost packets. Then the controller is designed to guarantee the discrete-time switched system is exponentially stable with a prescribed l2-l∞ performance subject to mode dependent average dwell time approach. The sufficient conditions to solve the controller gain is derived via a set of linear matrix inequalities (LMIs). Finally, an example is presented to show the effectiveness of the obtained results.

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Authors and Affiliations

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

    Xiaoling Li & Linlin Hou

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  1. Xiaoling Li
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  2. Linlin Hou
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Correspondence to Linlin Hou.

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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 Jun Cheng under the direction of Editor Young IL Lee. This work is supported in part by National Natural Science Foundation of China under grants (61873331, 61773236, 61773235) and the Taishan Scholar Project of Shandong Province (TSQN20161033).

Xiaoling Li received her bachelor degree in School of Information Science and Engineering from Qufu Normal University, Rizhao, China, in 2012. Her research interests include analysis and control of switched systems and networked control systems.

Linlin Hou received her master and Ph.D degrees in Institute of Automation from Qufu Normal University, Qufu, China, in 2009 and 2012, respectively. In 2017, she was a visiting scholar with the School of Engineering, RMIT University, Melbourne, Australia. Now she is an associate professor in the School of Information Science and Engineering, Qufu Normal University, China. Her research interests include analysis and control of switched systems, time-delay systems, and networked control systems.

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Li, X., Hou, L. l2-l∞ Control for Sampled-data Systems with Packet Dropout: Switched System Method. Int. J. Control Autom. Syst. 17, 2746–2753 (2019). https://doi.org/10.1007/s12555-018-0867-2

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  • DOI: https://doi.org/10.1007/s12555-018-0867-2

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