Stability of Asynchronous Networked Linear Control Systems with Direct-Feedthrough Terms and Scheduling Protocols

Ziyi Guo, Hao Yu, Tongwen Chen

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we analyze the stability of a linear control system where the plant and controller, both containing direct-feedthrough terms, communicate asynchronously over a network using scheduling protocols. The overall system is modeled as a hybrid dynamical system and sufficient conditions for its closed-loop stability are derived using a new Lyapunov function. Additionally, we define a stability property that is associated with the feedthrough terms and the adopted scheduling protocols and, subsequently, derive verifiable conditions that evaluate the aforementioned stability property. The effectiveness of the results is demonstrated through numerical simulations on a benchmark model, and effects of user-specified parameters are examined.

Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalIEEE Transactions on Automatic Control
DOIs
Publication statusAccepted/In press - 2024

Keywords

  • Data communication
  • Dynamic scheduling
  • Hybrid systems
  • Job shop scheduling
  • Numerical stability
  • Protocols
  • Stability criteria
  • Vectors
  • asynchronous transmission
  • direct-feedthrough
  • networked control systems
  • scheduling protocols

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