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Input Delay Analysis and H∞ Control for Networked Control Systems With Finite‐Time Stochastic Boundedness

Author

Listed:
  • Gaofeng Peng
  • Hu Dong
  • Jin Yuan Zhao
  • Yang Leng

Abstract

This paper investigates the input delay analysis and H∞ control problem for networked control systems with finite‐time stochastic boundedness (FTSB). First, a novel control scheme is used to handle the Markovian jump parameters, and an event‐triggered rule is introduced to a networked control system with FTSB, which can ensure the control performance of the system and effectively improve the resource utilization of the networked control system. Simultaneously, a more accurate expression for input delay compared to traditional methods is obtained. Then, the sufficient condition for the networked control system to have FTSB is derived. Additionally, an H∞ state feedback controller for the stochastic networked control system with FTSB performance is obtained. Finally, an illustrative example is provided to verify the effectiveness of the method proposed in this paper, especially the good control effect of the H∞ state feedback controller.

Suggested Citation

  • Gaofeng Peng & Hu Dong & Jin Yuan Zhao & Yang Leng, 2025. "Input Delay Analysis and H∞ Control for Networked Control Systems With Finite‐Time Stochastic Boundedness," Complexity, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:complx:v:2025:y:2025:i:1:n:7635015
    DOI: 10.1155/cplx/7635015
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    References listed on IDEAS

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    1. Du, Zhaoping & Zhang, Chi & Yang, Xiaofei & Ye, Hui & Li, Jianzhen, 2025. "Discrete-time event-triggered H-infinity stabilization for three closed-loop cyber-physical system with uncertain delay," Applied Mathematics and Computation, Elsevier, vol. 488(C).
    2. Yan, Zhiguo & Song, Yunxia & Liu, Xiaoping, 2018. "Finite-time stability and stabilization for Itô-type stochastic Markovian jump systems with generally uncertain transition rates," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 512-525.
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