Improved secondary prediction algorithm for tripping and non-tripping rollover for rollover warning

doi:10.3969/j.issn.1674-8484.2025.05.005

Abstract

Abstract:

An improved dual-prediction rollover warning algorithm was proposed with an incorporating New Rollover Indicator (NRI) to accurately identify vehicle roll dynamics and predict rollover risks. The NRI applicable to both trip and non-trip rollovers was derived from a 6-degrees of freedom model. A combined primary-secondary prediction strategy was developed and integrated with the NRI, validated through the Carsim software and the Matlab/Simulink software co-simulation and hardware-in-the-loop tests. The results show that the proposed algorithm improves the vehicle stability with maintaining the prediction accuracy, and reduces the warning activations by 39.5% and 47.3% with decreasing the maximum warning peak time by 77.2% in rollover situations, compared to conventional secondary and primary prediction methods respectively in non-rollover scenarios. Therefore, the NRI implementation enhanced the algorithm's responsiveness to road excitations with expanding its applicability.

Key words: vehicle active safety, rollover warning algorithm, new rollover index (NRI), tripping and non-tripping rollover

CLC Number:

U461.91

TIAN Yang, LI Xiangpeng, FAN Yihong, LI Zhaonan, LI Liang. Improved secondary prediction algorithm for tripping and non-tripping rollover for rollover warning[J]. Journal of Automotive Safety and Energy, 2025, 16(5): 707-715.

Figures/Tables 15

References 17

[1]	周兵, 梁帅, 吴晓建, 等. 基于LSTM和改进TTR算法的车辆辅助驾驶侧翻预警[J]. 湖南大学学报:自然科学版, 2023, 50(12): 155-167.
	ZHOU Bing, LIANG Shuai, WU Xiaojian, et al. Vehicle assisted driving rollover warning based on LSTM and improved TTR algorithm[J]. J Hunan Univ: Nat Sci, 2023, 50(12): 155-167. (in Chinese)
[2]	Goldman R W, El-Gindy M, Kulakowski B T. Rollover dynamics of road vehicles: literature survey[J]. Int’l J Heavy Vehi Syst, 2001, 8(2): 103-141.
[3]	李明桃, 高久懿, 张永辉, 等. 半挂汽车侧翻预警算法研究综述[J]. 汽车实用技术, 2022, 47(6): 181-186. doi: 10.16638/j.cnki.1671-7988.2022.006.037
	LI Mingtao, GAO Jiuyi, ZHANG Yonghui, et al. Review of rollover warning algorithm of semi-trailer[J]. Automo Appl Techn, 2022, 47(6): 181-186. (in Chinese)
[4]	SVERRISSON H. System and method for predicting vehicle rollover using position tracking, US2008312813[P]. 2013-10-15.
[5]	Hyun D, Langari R. Modeling to predict rollover threat of tractor-semitrailers[J]. Vehi Syst Dyn, 2003, 39(6): 401-414.
[6]	LARIS C, PIYABONGKARN D, et al. A new predictive lateral load transfer ratio for rollover prevention systems[J]. IEEE Trans Vehi Tech, 2013, 62(7): 2928-2936.
[7]	Phanomchoeng G, Rajamani R. New rollover index for the detection of tripped and untripped rollovers[J]. IEEE Trans Indu Electr, 2012, 60(10): 4726-4736.
[8]	CHEN Bochiuan. Warning and Control for Vehicle Rollover Prevention[M]. Ann Arbor: University of Michigan, 2001: 45-120.
[9]	朱天军, 宗长富, 吴炳胜, 等. 基于改进TTR算法的重型车辆侧翻预警系统[J]. 机械工程学报, 2011, 47(10): 88-94.
	ZHU Tianjun, ZONG Changfu, WU Bingsheng, et al. Rollover warning system of heavy duty vehicle based on improved TTR algorithm[J]. J Mech Eng, 2011, 47(10): 88-94. (in Chinese)
[10]	靳立强, 石冠男, 孔德隽, 等. 基于零力矩点指标和侧翻时间算法的车辆侧翻预警[J]. 汽车工程, 2017, 39(3): 281-287.
	JIN Liqiang, SHI Guannan, KONG Dejuan, et al. Vehicle rollover warning based on zero-moment point indicator and time-to-rollover algorithm[J]. Automo Engineering, 2017, 39(3): 281-287. (in Chinese)
[11]	金智林, 严正华. 基于二次预测型横向载荷转移率的汽车侧翻预警研究[J]. 中国机械工程, 2019, 30(15): 1790-1795.
	JIN Zhilin, YAN Zhenghua. Research on vehicle rollover warning based on secondary predictive lateral load transfer ratio[J]. Chin Mech Eng, 2019, 30(15): 1790-1795. (in Chinese)
[12]	Treetipsounthorn K, Gridsada P. Real-time rollover warning in tripped and un-tripped rollovers with a neural network[C]//2018 IEEE 4th Int’l Conf Contr Sci Syst Eng (ICCSSE). 2018: 95-100.
[13]	Imine H, Benallegue A, Madani T, et al. Rollover risk prediction of heavy vehicle using high-order sliding-mode observer: experimental results[J]. IEEE Trans Vehi Tech, 2014, 63(6): 2533-2543.
[14]	金智林, 陈国钰, 赵万忠. 轮毂电机驱动电动汽车的侧翻稳定性分析与控制[J]. 中国机械工程, 2018, 29(15): 1772-1779.
	JIN Zhilin, CHEN Guoyu, ZHAO Wanzhong, "Rollover stability and control of in-wheel motor drive electric vehicles[J]. Chin Mech Eng, 2018, 29(15): 1772-1779. (in Chinese)
[15]	JIN Zhilin, WENG Jingsheng, HU Hongyu. Rollover stability of a vehicle during critical driving manoeuvres[J]. Proc Inst Mech Engineers, Part D: J Automo Eng, 2007, 221(9): 1041-1049.
[16]	LI Yinong, SUN Wei, HUANG Jingying, et al. Effect of vertical and lateral coupling between tyre and road on vehicle rollover[J]. Vehi Syst Dyn, 2013, 51(8): 1216-1241.
[17]	赵健, 郭俐彤, 朱冰, 等. 基于神经网络和侧翻时间算法的轻型汽车侧翻预警[J]. 吉林大学学报: 工学版, 2012, 42(5): 1083-1088.
	ZHAO Jian, GUO Litong, ZHU Bing, et al. Rollover warning for light vehicles based on NN-TTR algorithm[J]. J Jilin Univ: Eng Tech Ed, 2012, 42(5): 1083-1088. (in Chinese)

簧上质量，m_s	1.8 t
绕x轴转动惯量，l_x	1.8 t·m²
前轴簧下质量，m_f	100 kg
后轴簧下质量，m_r	100 kg
轮距，T_f	1.64 m
质心到侧倾轴距离，h_s	1.0 m

簧上质量，m_s	1.8 t
绕x轴转动惯量，l_x	1.8 t·m²
前轴簧下质量，m_f	100 kg
后轴簧下质量，m_r	100 kg
轮距，T_f	1.64 m
质心到侧倾轴距离，h_s	1.0 m

工况	$ \frac{v}{\mathrm{~km} \cdot \mathrm{~h}^{-1}}$	指标预警启停次数
工况	$ \frac{v}{\mathrm{~km} \cdot \mathrm{~h}^{-1}}$	改进二次预测型	二次预测型	一次预测型
超车	50	2	6	4
	70	2	5	4
	100	4	6	7
	120	3	5	5
正弦转向输入	50	2	4	3
	70	3	4	9
	100	3	3	6
	120	2	3	5

工况	$ \frac{v}{\mathrm{~km} \cdot \mathrm{~h}^{-1}}$	指标预警启停次数
工况	$ \frac{v}{\mathrm{~km} \cdot \mathrm{~h}^{-1}}$	改进二次预测型	二次预测型	一次预测型
超车	50	2	6	4
	70	2	5	4
	100	4	6	7
	120	3	5	5
正弦转向输入	50	2	4	3
	70	3	4	9
	100	3	3	6
	120	2	3	5

工况	$ \frac{v}{\mathrm{~km} \cdot \mathrm{~h}^{-1}}$	预警时间峰值 / s
工况	$ \frac{v}{\mathrm{~km} \cdot \mathrm{~h}^{-1}}$	改进二次预测型	二次预测型	一次预测型
侧翻转向输入	50	0.412	0.412	2.000
	70	0.093	0.117	1.460
	100	0.040	0.056	0.645
	120	0.045	0.045	0.531
角阶跃	50	0.023	0.023	2.000
	70	1.876	1.876	2.000
	100	0.032	0.032	2.000
	120	0.318	0.333	2.000