Adaptive event-triggered reachable set control for Markov jump cyber-physical systems with time-varying delays

Sheng-Ran Jia; Wen-Juan Lin; Sheng-Ran Jia; Wen-Juan Lin

doi:10.3934/math.20241225

AIMS Mathematics

2024, Volume 9, Issue 9: 25127-25144. doi: 10.3934/math.20241225

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Research article

Adaptive event-triggered reachable set control for Markov jump cyber-physical systems with time-varying delays

Sheng-Ran Jia ^1,2,
Wen-Juan Lin ^{1,2
,
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1.
School of Automation, Qingdao University, Qingdao 266071, China
2.
Shandong Key Laboratory of Industrial Control Technology, Qingdao University, Qingdao 266071, China

Received: 06 July 2024 Revised: 13 August 2024 Accepted: 19 August 2024 Published: 28 August 2024
MSC : 93B70, 93C55, 93D30

In this paper, we proposed a reachable set control method for a class of Markov jump cyber-physical systems (MJCPSs) with time-varying delays, which addressed the challenges posed by false data injection (FDI) attacks to system security. The goal was to find the set of regions where all MJCPSs states were reachable from the origin in the presence of bounded disturbances. The adaptive event-triggered control strategy was introduced to save network resources. It also reduced the impact of FDI attacks and external disturbances on system security. The conservatism of the results were reduced by constructing the Lyapunov-Krasovskii (L-K) functional with time-varying delays. Difference terms were estimated by using the discrete Wirtinger inequality and the improved extended reciprocally convex matrix inequality, and the ellipsoid reachable set of the MJCPS was obtained. Then, the reachable set controller was obtained by linear matrix inequalities (LMIs) solving technique. Finally, an example simulation proved the validity of the results.
- Markov jump cyber-physical systems,
- time-varying delays,
- reachable set control,
- false data injection attacks,
- Lyapunov-Krasovskii functional
Citation: Sheng-Ran Jia, Wen-Juan Lin. Adaptive event-triggered reachable set control for Markov jump cyber-physical systems with time-varying delays[J]. AIMS Mathematics, 2024, 9(9): 25127-25144. doi: 10.3934/math.20241225

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Abstract

In this paper, we proposed a reachable set control method for a class of Markov jump cyber-physical systems (MJCPSs) with time-varying delays, which addressed the challenges posed by false data injection (FDI) attacks to system security. The goal was to find the set of regions where all MJCPSs states were reachable from the origin in the presence of bounded disturbances. The adaptive event-triggered control strategy was introduced to save network resources. It also reduced the impact of FDI attacks and external disturbances on system security. The conservatism of the results were reduced by constructing the Lyapunov-Krasovskii (L-K) functional with time-varying delays. Difference terms were estimated by using the discrete Wirtinger inequality and the improved extended reciprocally convex matrix inequality, and the ellipsoid reachable set of the MJCPS was obtained. Then, the reachable set controller was obtained by linear matrix inequalities (LMIs) solving technique. Finally, an example simulation proved the validity of the results.

References

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