Event-triggered anti-windup strategy for time-delay systems subject to saturating actuators

Liping Luo; Yonggang Chen; Jishen Jia; Kaixin Zhao; Jinze Jia; Liping Luo; Yonggang Chen; Jishen Jia; Kaixin Zhao; Jinze Jia

doi:10.3934/math.20241346

AIMS Mathematics

2024, Volume 9, Issue 10: 27721-27738. doi: 10.3934/math.20241346

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Research article

Event-triggered anti-windup strategy for time-delay systems subject to saturating actuators

1.
School of Mathematical Sciences, Henan Institute of Science and Technology, Xinxiang 453003, China
2.
Henan Engineering and Technology Research Center of Digital Agriculture, Henan Institute of Science and Technology, Xinxiang 453003, China
3.
School of Management, Henan Institute of Technology, Xinxiang 453003, China

Received: 06 August 2024 Revised: 10 September 2024 Accepted: 18 September 2024 Published: 25 September 2024
MSC : 93C10, 93D15

This paper investigates the anti-windup synthesis problem for linear control systems subject to time-varying state delay and saturating actuators. To alleviate the redundant data transmission, the dynamic event-triggered mechanism is adopted. Moreover, to abate the inherent conservatism, novel delay-dependent sector conditions containing double integral terms are explored. Then, using augmented Lyapunov-Krasovskii functionals and several less conservative inequalities, delay-dependent anti-windup synthesis criteria are obtained in accordance with the feasibility of linear matrix inequalities. Subsequently, the optimization of the initial condition set is addressed. Finally, a simulation example illustrates the availability and technique advantages of the proposed results.
- anti-windup design,
- time-delay systems,
- saturating actuators,
- event-triggered mechanism
Citation: Liping Luo, Yonggang Chen, Jishen Jia, Kaixin Zhao, Jinze Jia. Event-triggered anti-windup strategy for time-delay systems subject to saturating actuators[J]. AIMS Mathematics, 2024, 9(10): 27721-27738. doi: 10.3934/math.20241346

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Abstract

This paper investigates the anti-windup synthesis problem for linear control systems subject to time-varying state delay and saturating actuators. To alleviate the redundant data transmission, the dynamic event-triggered mechanism is adopted. Moreover, to abate the inherent conservatism, novel delay-dependent sector conditions containing double integral terms are explored. Then, using augmented Lyapunov-Krasovskii functionals and several less conservative inequalities, delay-dependent anti-windup synthesis criteria are obtained in accordance with the feasibility of linear matrix inequalities. Subsequently, the optimization of the initial condition set is addressed. Finally, a simulation example illustrates the availability and technique advantages of the proposed results.

References

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