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Stochastic Channel Allocation for Nonlinear Systems with Markovian Packet Dropout

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Abstract

This paper addresses a channel scheduling problem for group of dynamically decoupled nonlinear subsystems with actuators connected through digital communication channels and controlled by a centralized controller. Due to the limited communication capacity, only one channel can be activated and hence there is only one pair of sensor and actuator can communicate with the controller at each time instant. In addition, the communication channels are not reliable so Markovian packed dropout is introduced. A predictive control framework is adopted for controller/scheduler co-design to alleviate the performance loss caused by the limited communication capacity. Instead of sending a single control value, the controller sends a sequence of predicted control values to a selected actuator so that there are control input candidates which can be fed to the subsystem when the actuator does not communicate with the controller. A stochastic algorithm is proposed to schedule the usage of the communication medium and sufficient conditions on stochastic stability are given under some mild assumptions.

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Authors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, 639798, Singapore

    Yushen Long & Lihua Xie

  2. School of Control Science and Engineering, Shandong University, Jinan, 250061, China

    Shuai Liu

  3. School of Automation, Beijing Institute of Technology, Beijing, 100081, China

    Jie Chen

Authors
  1. Yushen Long
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  2. Shuai Liu
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  3. Lihua Xie
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  4. Jie Chen
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Corresponding author

Correspondence to Yushen Long.

Additional information

This research is supported by the Energy Innovation Research Programme of Singapore under Grant No. NRF2013EWT-EIRP004-012, Qilu Youth Scholar Discipline Construction Funding from Shandong University and the National Natural Science Foundation of China (NSFC) under Grant Nos. 61573220, 61633014, Projects of Major International (Regional) Joint Research Program NSFC under Grant No. 61720106011.

This paper was recommended for publication by Editor SUN Jian.

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Long, Y., Liu, S., Xie, L. et al. Stochastic Channel Allocation for Nonlinear Systems with Markovian Packet Dropout. J Syst Sci Complex 31, 22–37 (2018). https://doi.org/10.1007/s11424-018-7295-5

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  • DOI: https://doi.org/10.1007/s11424-018-7295-5

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