Stabilization of NCSs by random allocation of transmission power to sensors

传感器发送功率随机分配下的网络控制系统的镇定问题

Abstract

This study investigates networked control systems (NCSs), whose sensors communicate with remote controllers via a wireless fading channel. The sensor can choose different power levels at which it can transmit its measurement to the controller. The transmission power is selected according to a given probability distribution. The level of transmission power determines the probability of packet loss. The objective of this study is to find an appropriate transmission power probability distribution and a system controller jointly such that NCSs can be exponentially stabilized within a given energy budget. By the average dwell time technique, sufficient conditions for almost sure stability and an optimal sensor power probability distribution maximizing the stability margin are obtained. The effectiveness of the results is demonstrated by numerical simulations.

创新点

本文以线性离散时不变网络控制系统为研究对象,讨论传感器和执行器通信信道之间的无线衰落问题。在任意时刻,传感器可以根据需要选择不同的发送功率将数据发送给远处的控制器,其中,发送功率的大小决定了丢包率的高低。本文考虑一种随机性的发送功率选择策略,旨在设计发送功率概率分配策略和状态反馈控制器,使得网络控制系统能够在有限的发送能量下指数镇定。通过使用平均驻留时间技术,得到了系统几乎必然稳定的充分条件,并且找到了一组最优的分布概率使得系统的稳定裕度最大。

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Correspondence to Ge Guo.

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Wang, L., Guo, G. & Zhuang, Y. Stabilization of NCSs by random allocation of transmission power to sensors. Sci. China Inf. Sci. 59, 067201 (2016). https://doi.org/10.1007/s11432-016-5563-3

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Keywords

  • networked control systems
  • power allocation
  • packet dropout
  • almost sure stability
  • transmission energy constraint

关键词

  • 网络控制系统
  • 功率分配
  • 丢包
  • 几乎必然稳定
  • 发送能量约束