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ISSN 2095-9184 (print), ISSN 2095-9230 (online)

Event-triggered finite-time guaranteed cost control of asynchronous switched systems under the round-robin protocol via an AED-ADT method

Abstract: This paper focuses on addressing the problems of finite-time boundedness and guaranteed cost control in switched systems under asynchronous switching. To reduce redundant information transmission and alleviate data congestion of sensor nodes, two schemes are proposed: the event-triggered scheme (ETS) and the round-robin protocol (RRP). These schemes are designed to ensure that the system exhibits good dynamic characteristics while reducing communication resources. In the field of finite-time control, a switching signal is designed using the admissible edge-dependent average dwell time (AED-ADT) method. This method involves a slow AED-ADT switching and a fast AED-ADT switching, which are respectively suitable for finite-time stable and finite-time unstable situations of the controlled system within the asynchronous switching interval. By constructing a double-mode dependent Lyapunov function, the finite-time bounded criterion and the controller gain of the switched systems are obtained. Finally, the validity of the proposed results is showcased by implementing a buck-boost voltage circuit model.

Key words: Switched systems; Event-triggered scheme; Round-robin protocol; Asynchronous switching; Admissible edge-dependent average dwell time (AED-ADT); Guaranteed cost control

Chinese Summary  <30> 考虑空间变异性的砂卵石地层盾构隧道沉降特征概率分析

作者:王帆1,李鹏飞2,杜修力2,马建军1,王林1
机构:1河南科技大学,土木建筑学院,中国洛阳,471023;2北京工业大学,城市与工程安全减灾教育部重点实验室,中国北京,100124
目的:砂卵石地层具有显著的非均质性和随机性特点,因此在进行地层沉降研究时,有必要考虑土性参数的空间变异性。本文旨在探讨在不同含石量与不同隧道体积损失率情况下的砂卵石地层中,盾构隧道施工诱发的地表和地中沉降的概率统计特征。
创新点:1.考虑土性参数的空间变异性,对比分析了砂卵石地层中盾构隧道沉降特征的确定性分析结果与随机分析结果;2.讨论了随机场输入参数对地层沉降概率统计特征的影响。
方法:考虑内摩擦角和参考割线模量的空间变异性,基于非侵入式随机有限差分法和蒙特卡罗模拟策略,研究砂卵石地层中盾构隧道的地表最大沉降、地中沉降槽宽度、地中最大沉降和地中体积损失率的概率统计特征。
结论:1.地层含石量或隧道体积损失率越大,地层沉降随机分析结果的离散性越高;2.忽略土性参数空间变异性而仅采用参数均值进行确定性分析,有可能低估地层沉降;3.地层沉降随机分析结果的变异系数随着土性参数变异系数和波动范围的增大而增大,但随着内摩擦角与参考割线模量互相关系数的增大而减小。

关键词组:盾构隧道;砂卵石地层;沉降特征;空间变异性;概率分析


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DOI:

10.1631/FITEE.2400427

CLC number:

TP13

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On-line Access:

2024-11-08

Received:

2024-05-23

Revision Accepted:

2025-02-10

Crosschecked:

2024-07-30

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