Journal of shanghai Jiaotong University (Science) ›› 2015, Vol. 20 ›› Issue (5): 528-534.doi: 10.1007/s12204-015-1660-5

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Stability Analysis of Networked Linear Systems for Multiple Sensors with Different Packet Loss Probabilities

Stability Analysis of Networked Linear Systems for Multiple Sensors with Different Packet Loss Probabilities

LI Jian-guoa*(李建国), LU Lia (陆丽), JIANG Yingb (蒋赢), PAN San-bob (潘三博)   

  1. (a. Department of Automation; b. Department of Electrical Engineering, Shanghai Dianji University, Shanghai 200240, China)
  2. (a. Department of Automation; b. Department of Electrical Engineering, Shanghai Dianji University, Shanghai 200240, China)
  • Online:2015-10-28 Published:2015-10-29
  • Contact: LI Jian-guo(李建国) E-mail:lijiang@sdju.edu.cn

Abstract: A stability problem of the linear networked control systems (NCSs) with multisensor having different data missing rates is investigated in this paper. Each sensor of the multiple sensor-controller communication channels is assumed to have an individual stochastic data missing rate. The stochastic data missing is described by a Bernoulli binary distribution. Sufficient conditions are given for the closed-loop linear NCS which is exponentially stable in the mean square sense as the existence of random multiple data missing. The stability problem could be disposed by the MATLAB linear matrix inequality (LMI) tool easily. A simulation case is provided to illustrate the validity of the presented LMI approach.

Key words: networked control system (NCS)| random multiple packet loss| linear matrix inequality (LMI)

摘要: A stability problem of the linear networked control systems (NCSs) with multisensor having different data missing rates is investigated in this paper. Each sensor of the multiple sensor-controller communication channels is assumed to have an individual stochastic data missing rate. The stochastic data missing is described by a Bernoulli binary distribution. Sufficient conditions are given for the closed-loop linear NCS which is exponentially stable in the mean square sense as the existence of random multiple data missing. The stability problem could be disposed by the MATLAB linear matrix inequality (LMI) tool easily. A simulation case is provided to illustrate the validity of the presented LMI approach.

关键词: networked control system (NCS)| random multiple packet loss| linear matrix inequality (LMI)

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