Asymmetric Lyapunov-Krasovskii functional-driven adaptive event-triggered LFC for semi-Markovian power systems

Kaibo Shi; Chuan Liu; Yuping Zhang; Xiangkun Wang; Yanbin Sun; Xiao Cai; Kaibo Shi; Chuan Liu; Yuping Zhang; Xiangkun Wang; Yanbin Sun; Xiao Cai

doi:10.3934/math.20251015

AIMS Mathematics

2025, Volume 10, Issue 10: 22850-22868. doi: 10.3934/math.20251015

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Asymmetric Lyapunov-Krasovskii functional-driven adaptive event-triggered LFC for semi-Markovian power systems

1.
School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China
2.
College of Electronic Information and Electrical Engineering, Chengdu University, Chengdu, China
3.
Cyberspace Institute of Advanced Technology, Guangzhou University, Guangzhou, China

Received: 04 August 2025 Revised: 07 September 2025 Accepted: 10 September 2025 Published: 09 October 2025
MSC : 93-XX

This paper proposes an innovative semi-Markov jump power system $ H_{\infty} $ load frequency control (LFC) strategy, incorporating an adaptive event-triggered mechanism (AETM) to enhance control efficiency and stability under complex environmental conditions. Specifically, to address power system uncertainties caused by environmental factors, we first modeled the system using a semi-Markov jump process, effectively capturing its dynamic variations across different operational states. Subsequently, to reduce communication and computational burdens, we introduced a novel AETM that selectively determines triggering conditions, thereby avoiding unnecessary control signal updates. Furthermore, we constructed multimodal asymmetric Lyapunov-Krasovskii functionals (LKFs). By relaxing constraints on matrix symmetry and positive definiteness, this method reduces the conservatism of stability criteria, ensuring stable system operation and maintaining strong robustness even in the presence of external disturbances. Finally, simulation results validated the effectiveness of the proposed strategy, demonstrating its capability to significantly enhance power system control performance and stability while effectively reducing resource consumption.
- semi-Markov jump,
- Lyapunov-Krasovsky functionals,
- load frequency control,
- adaptive event-triggered mechanism
Citation: Kaibo Shi, Chuan Liu, Yuping Zhang, Xiangkun Wang, Yanbin Sun, Xiao Cai. Asymmetric Lyapunov-Krasovskii functional-driven adaptive event-triggered LFC for semi-Markovian power systems[J]. AIMS Mathematics, 2025, 10(10): 22850-22868. doi: 10.3934/math.20251015

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Abstract

This paper proposes an innovative semi-Markov jump power system $ H_{\infty} $ load frequency control (LFC) strategy, incorporating an adaptive event-triggered mechanism (AETM) to enhance control efficiency and stability under complex environmental conditions. Specifically, to address power system uncertainties caused by environmental factors, we first modeled the system using a semi-Markov jump process, effectively capturing its dynamic variations across different operational states. Subsequently, to reduce communication and computational burdens, we introduced a novel AETM that selectively determines triggering conditions, thereby avoiding unnecessary control signal updates. Furthermore, we constructed multimodal asymmetric Lyapunov-Krasovskii functionals (LKFs). By relaxing constraints on matrix symmetry and positive definiteness, this method reduces the conservatism of stability criteria, ensuring stable system operation and maintaining strong robustness even in the presence of external disturbances. Finally, simulation results validated the effectiveness of the proposed strategy, demonstrating its capability to significantly enhance power system control performance and stability while effectively reducing resource consumption.

References

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