A Delay-Distribution Approach to Stabilization of Networked Control Systems

Bin Tang, Jun Wang, Yun Zhang

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


A novel delay-distribution approach is proposed for a continuous-time networked control system (NCS) with time-varying transmission delays and transmission intervals based on an input-delay approach. The real-time distribution of input delays is modeled as a continuous-dependent and nonidentically distributed (d.n.d.) process. By introducing multiple indicator functions, the NCS is represented as a hybrid system with multiple input delay subsystems. An improved Lyapunov-Krasovskii method is proposed and it additionally exploits the real-time distribution of input delays by means of estimating the cross-product integral terms of the infinitesimal of the Lyapunov functional using a new bounding technique. Delay-distribution-dependent sufficient conditions are derived for the deterministic exponential stability and stabilizability of the NCS, which leads to tighter bounds of input delays than existing results. The resulting controller design method is formulated as an iterative linear optimization algorithm subject to linear matrix inequality constraints. Finally, numerical examples are presented to substantiate the effectiveness and advantage of the results.

Original languageEnglish
Article number7096992
Pages (from-to)382-392
Number of pages11
JournalIEEE Transactions on Control of Network Systems
Issue number4
Publication statusPublished - 2015
Externally publishedYes


  • Delay-distribution approach
  • networked control system (NCS)
  • transmission delays
  • transmission intervals


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