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Finite-time control of multi-loop networked control systems: A dual switching time-delay system method

delete2026-05-01
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PRE
AI
L
Liu, Fang
L
Liu, Cai *
W
Wang, Yalin
L
Liu, Kangzhi
DOI:10.1016/j.jfranklin.2026.108625delete
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Abstract

Abstract

En 中文
This article investigates the finite-time stabilization of multi-loop networked control systems (NCSs) with network-induced delay (NID) and packet loss. Firstly, considering the time-varying NID, random packet loss, and channel switching, the multi-loop NCSs are modeled as variable dual switching time-delay systems (VDSTDSs) for the first time, which provides a unified modeling and control framework for NCSs with multiple factors. Subsequently, the mixed mode of the VDSTDSs is fully considered, and a novel augmented Lyapunov-Krasovskii functional (LKF) that contains the system state and delay information is constructed. By decomposing the integral interval and estimating the delay integral term of the LKF derivative using GFMBII, the exponential decay condition of the constructed LKF is established. Then, a deterministic scheduling strategy based on the average dwell time (ADT) technique is designed. Under the scheduling strategy, the system selects the appropriate transmission channel according to the upper bound on NID and the probabilistic statistical information of the random packet loss. By combining the exponential decay condition and the ADT-based scheduling strategy, a less conservative finite-time stabilization criterion for the VDSTDSs is established. Finally, an illustrative example and a data communication network model are presented to demonstrate the effectiveness and applicability of the proposed methods.
Keywords:
Finite-time stabilization
Networked control systems (NCSs)
Mixed-mode
Variable dual switching time-delay systems
(VDSTDSs)

Journal

J
Journal of the Franklin Institute
IF:
4.2
Papers:
812
Citations:
0

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C
chiba university
Scholars:
2.4K
Papers: 802
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C
central south university
Scholars:
1.7W
Papers: 5.0K
Citations: 3
C
Chongqing Police College
Scholars:
22
Papers: 17
Citations: 3
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