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Stabilization of interconnected nonlinear systems with multiplicative measurement noise: A decentralized aperiodic intermittent control strategy

Author

Listed:
  • Guo, Wanying
  • Zhou, Yuchen
  • Li, Wenxue

Abstract

This study proposes a decentralized aperiodic intermittent (DAI) control strategy for stabilizing interconnected nonlinear systems with multiplicative measurement noise. Compared to traditional aperiodic intermittent control, the DAI control strategy offers two advantages: first, it eliminates the strict constraints on the lower bound of work intervals and upper bound of control periods; second, it allows the controller of each subsystem to operate independently without the need for information exchange with other subsystems. The controllers for each subsystem are designed using the backstepping method, along with the construction of their corresponding Lyapunov functions. Building upon this, graph theory is employed to derive a global Lyapunov function, thereby establishing sufficient conditions for mean-square exponential stability. To verify the practicality of the theoretical results, the proposed DAI control strategy is applied to a microgrid system, and numerical simulations demonstrate the effectiveness of this method.

Suggested Citation

  • Guo, Wanying & Zhou, Yuchen & Li, Wenxue, 2025. "Stabilization of interconnected nonlinear systems with multiplicative measurement noise: A decentralized aperiodic intermittent control strategy," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    • Handle: RePEc:eee:chsofr:v:198:y:2025:i:c:s0960077925005028
    DOI: 10.1016/j.chaos.2025.116489
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    1. Le Thu Trang Nguyen & Thi Huyen Trang Nguyen & Duc Duy Nguyen, 2024. "An integrated FAHP and TOPSIS for supplier selection under uncertainty: a case study in electrical explosion protection and sensor company," International Journal of Applied Management Science, Inderscience Enterprises Ltd, vol. 16(3), pages 304-328.
    2. Ni Yang & Renjie Ji & Huan Su, 2023. "Existence and synchronization of coupled stochastic infinite-dimensional systems via aperiodically intermittent control," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(14), pages 2718-2733, October.
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