Stability Analysis for the Vehicular Platoon System With Time-Varying Delay via A State Decomposition Method

被引：0

作者：

Xu, Hang ^{[1
,2
]}

Zhang, Chuan-Ke ^{[1
,2
]}

Shangguan, Xing-Chen ^{[1
,2
]}

Jin, Li ^{[1
,2
]}

Li, Yang ^{[1
,2
]}

机构：

[1] China Univ Geosci, Sch Automat, Wuhan, Peoples R China

[2] Hubei Key Lab Adv Control & Intelligent Automat C, Wuhan, Peoples R China

来源：

2024 9TH INTERNATIONAL CONFERENCE ON AUTOMATION, CONTROL AND ROBOTICS ENGINEERING, CACRE 2024 | 2024年

基金：

中国国家自然科学基金;

关键词：

Vehicular platoon system; State decomposition method; Stability of time delay systems; VEHICLES; TRACKING;

D O I：

10.1109/CACRE62362.2024.10635083

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the consideration of the stability problem for the vehicular platoon system (VPS) with communication delays under proportional differential (PD) control is studied by the Lyapunov-Krasovskii functional (LKF). Firstly, a VPS considering delay is modeled to analyze the influence of delays for the VPS in operation. Then, an error state-space system of the VPS is constructed and transformed into a singular system. As a result, the stability criterion is proposed based on the state decomposition method via the LKF. Finally, the tolerance for delay is calculated for a case of four vehicles with different controller gains. The result shows that the proportional gain is inversely proportional to the time delay and the differential gain is in direct proportion to the time delay meanwhile. Besides, the high-speed vehicular platoon is more affected by the time delay.

引用

页码：136 / 141

页数：6

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