Observer-based networked control for stochastic nonlinear systems under false data injection attacks and limited bandwidth

Xinyi Bai; Qinru Yang; Xinyi Bai; Qinru Yang

doi:10.3934/era.2025225

Electronic Research Archive

2025, Volume 33, Issue 8: 5022-5044. doi: 10.3934/era.2025225

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Research article

Observer-based networked control for stochastic nonlinear systems under false data injection attacks and limited bandwidth

Xinyi Bai ^,,
Qinru Yang

School of Computer Science and Technology, Anhui University of Technology, Ma'anshan 243032, China

Received: 09 July 2025 Revised: 08 August 2025 Accepted: 15 August 2025 Published: 26 August 2025

This paper investigates observer-based networked control for stochastic nonlinear systems under false data injection (FDI) attacks and limited communication bandwidth. To mitigate the impact of FDI attacks while reducing communication load, we propose an FDI attack-resilient periodic encoding–decoding scheme based on uniform quantization. We first establish a detectability criterion for the stochastic nonlinear system under this periodic encoding–decoding scheme. Then, we derive a condition to further guarantee the input-to-state stability of the resulting closed-loop system. The condition, which enables the determination of the desired observer and controller gains, involves a series of linear matrix inequalities that are straightforward to verify using available MATLAB numerical tools. Finally, we validate the effectiveness and robustness of the proposed controller design through a case study.
- stochastic nonlinear system,
- false data injection attack,
- observer-based network control,
- input-to-state stability,
- encoding–decoding scheme
Citation: Xinyi Bai, Qinru Yang. Observer-based networked control for stochastic nonlinear systems under false data injection attacks and limited bandwidth[J]. Electronic Research Archive, 2025, 33(8): 5022-5044. doi: 10.3934/era.2025225

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Abstract

This paper investigates observer-based networked control for stochastic nonlinear systems under false data injection (FDI) attacks and limited communication bandwidth. To mitigate the impact of FDI attacks while reducing communication load, we propose an FDI attack-resilient periodic encoding–decoding scheme based on uniform quantization. We first establish a detectability criterion for the stochastic nonlinear system under this periodic encoding–decoding scheme. Then, we derive a condition to further guarantee the input-to-state stability of the resulting closed-loop system. The condition, which enables the determination of the desired observer and controller gains, involves a series of linear matrix inequalities that are straightforward to verify using available MATLAB numerical tools. Finally, we validate the effectiveness and robustness of the proposed controller design through a case study.

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