This paper proposes an active suspension control method for tank vehicle, which can effectively suppress the lateral sloshing of liquid cargo, so as to improve the tank vehicle’s roll stability under the coupling excitation of non-structural road environment and additional moments of liquid cargo. Firstly, to describe the additional moments generated by the liquid cargo when the vehicle is laterally excited, a liquid sloshing equivalent mechanical pendulum model is put forward. Further, realizing the significant influence of road parameters on the roll stability of the vehicle, the liquid-vehicle-road coupling model is derived under the consideration of road curvature and cross-slope. Subsequently, based on the road information obtained in advance, a preview-based model predictive control (MPC) controller is designed to improve the roll stability of the tank vehicle and suppress the lateral sloshing of the liquid. Finally, the simulation is verified based on Matlab/Simulink under two complex scenarios, which indicates that the proposed control method can achieve better control effect compared with the traditional linear quadratic regulator (LQR) controller.
YueMShangguanJGuoL, et al. All-in-one control framework for distributed drive electric buses path tracking subject to uncertain crosswind and varied passenger mass. IEEE Trans Veh Technol2023; 72(7): 8342–8353.
2.
NahidiAYounesianD.Novel control strategies for roll/pitch stabilization of tank wagons. Proc IMechE, Part F: J Rail and Rapid Transit2016; 230(1): 151–164.
3.
ImineHBenallegueAMadaniT, et al. Rollover risk prediction of heavy vehicle using high-order sliding-mode observer: experimental results. IEEE Trans Veh Technol2013; 63(6): 2533–2543.
4.
AtaeiMKhajepourAJeonS.A general rollover index for tripped and un-tripped rollovers on flat and sloped roads. Proc IMechE, Part D: J Automobile Engineering2019; 233(2): 304–316.
5.
StojanovicNBoskovicBPetrovicM, et al. The impact of accidents during the transport of dangerous good, on people, the environment, and infrastructure and measures for their reduction: a review. Environ Sci Pollut Res2023; 30(12): 32288–32300.
6.
KandasamySNicolsenBShabanaAA, et al. Evaluation of effectiveness of pneumatic suspensions: application to liquid sloshing problems. J Sound Vib2021; 514: 116328.
7.
Abdi KordaniAJavadiSFallahA. The effect of shoulder on safety of highways in horizontal curves: with focus on roll angle. KSCE J Civ Eng2018; 22: 3153–3161.
8.
WuJZhouHLiuZ, et al. Ride comfort optimization via speed planning and preview semi-active suspension control for autonomous vehicles on uneven roads. IEEE Trans Veh Technol2020; 69(8): 8343–8355.
9.
LiuYJChenH.Adaptive sliding mode control for uncertain active suspension systems with prescribed performance. IEEE Trans Syst Man Cybern Syst2020; 51(10): 6414–6422.
10.
RenHChenSZhaoY, et al. State observer-based sliding mode control for semi-active hydro-pneumatic suspension. Veh Syst Dyn2016; 54(2): 168–190.
11.
ZhangMJingX.A bioinspired dynamics-based adaptive fuzzy SMC method for half-car active suspension systems with input dead zones and saturations. IEEE Trans Cybern2020; 51(4): 1743–1755.
12.
TianYYaoQWangC, et al. Switched model predictive controller for path tracking of autonomous vehicle considering rollover stability. Veh Syst Dyn2022; 60(12): 4166–4185.
13.
AlrejjalAKsaibatiK.Impact of mountainous interstate alignments and truck configurations on rollover propensity. J Safety Res2022; 80: 160–174.
14.
SaeediMAKazemiRAzadiS.Improvement in the rollover stability of a liquid-carrying articulated vehicle via a new robust controller. Proc IMechE, Part D: J Automobile Engineering2017; 231(3): 322–346.
15.
AbramsonHNChuWHKanaDD.Some studies of nonlinear lateral sloshing in rigid containers. Technical report, NASA, USA, 1966.
16.
LiQMaXWangT.Equivalent mechanical model for liquid sloshing during draining. Acta Astronaut2011; 68(1–2): 91–100.
17.
RanganathanRRakhejaSSankarS.Influence of liquid load shift on the dynamic response of articulated tank vehicles. Veh Syst Dyn1990; 19(4): 177–200.
18.
Modaressi-TehraniKRakhejaSSedaghatiR.Analysis of the overturning moment caused by transient liquid slosh inside a partly filled moving tank. Proc IMechE, Part D: J Automobile Engineering2006; 220(3): 289–301.
19.
NguyenXNDangTP.Rollover stability analysis of liquid tank truck taking into account the road profiles. J Appl Eng Sci2022; 20(4): 1133–1142.
20.
KolaeiARakhejaSRichardMJ.An efficient methodology for simulating roll dynamics of a tank vehicle coupled with transient fluid slosh. J Vib Control2017; 23(19): 3216–3232.
21.
QiGYueMShangguanJ, et al. Integrated control method for path tracking and lateral stability of distributed drive electric vehicles with extended Kalman filter–based tire cornering stiffness estimation. J Vib Control2024; 30: 2582–2595.
22.
SunWLiuYLiS, et al. Rollover prevention control of the tank semi-trailer considering sloshing of the liquid. Int J Heavy Veh Syst2021; 28(6): 752–776.
23.
SaeediMAKazemiRAzadiS.A new robust controller to improve the lateral dynamic of an articulated vehicle carrying liquid. Proc IMechE, Part K: J Multi-body Dynamics2017; 231(2): 295–315.
24.
ProkopGSharpRS.Performance enhancement of limited-bandwidth active automotive suspensions by road preview. IET Control Theory Appl1995; 142(2): 140–148.
25.
YueMHouXZhaoX, et al. Robust tube-based model predictive control for lane change maneuver of tractor-trailer vehicles based on a polynomial trajectory. IEEE Trans Syst Man Cybern Syst2018; 50(12): 5180–5188.
26.
TanZWenGPanZ, et al. Control of a nonlinear active suspension system based on deep reinforcement learning and expert demonstrations. Proc IMechE, Part D: J Automobile Engineering2024; 238(13): 4093–4113.
27.
ZhuSDuHZhangN. Development and implementation of fuzzy, fuzzy PID and LQR controllers for an roll-plane active hydraulically interconnected suspension. In: 2014 IEEE international conference on fuzzy systems (FUZZ-IEEE), Beijing, China, 6–11 July 2014, pp.2017–2024. New York: IEEE.
LiNShiY.Adaptive endocrine PID control for active suspension based on reinforcement learning. Proc IMechE, Part D: J Automobile Engineering. Epub ahead of print 24July2024. DOI: 10.1177/09544070241262354.
30.
RiccoMAlshawiAGruberP, et al. Nonlinear model predictive control for yaw rate and body motion control through semi-active and active suspensions. Veh Syst Dyn2024; 62(6): 1587–1620.
31.
GopalasamySOsorioCHedrickK, et al. Model predictive control for active suspensions: controller design and experimental study. In: ASME international mechanical engineering congress and exposition, Dallas, TX, USA, 16–21 November 1997, vol. 18244, pp.725–733. New York: American Society of Mechanical Engineers.
32.
XuLTsengHEHrovatD. Hybrid model predictive control of active suspension with travel limits and nonlinear tire contact force. In: 2016 American control conference (ACC), Boston, MA, USA, 6–8 July 2016, pp.2415–2420. New York: IEEE.
33.
WangDZhaoDGongM, et al. Research on robust model predictive control for electro-hydraulic servo active suspension systems. IEEE Access2017; 6: 3231–3240.
34.
MoratoMMNguyenMQSenameO, et al. Design of a fast real-time LPV model predictive control system for semi-active suspension control of a full vehicle. J Franklin Inst2019; 356(3): 1196–1224.
35.
TheunissenJSorniottiAGruberP, et al. Regionless explicit model predictive control of active suspension systems with preview. IEEE Trans Ind Electron2019; 67(6): 4877–4888.
36.
ToumiMBouazaraMRichardMJ.Impact of liquid sloshing on the behaviour of vehicles carrying liquid cargo. Eur J Mech A Solids2009; 28(5): 1026–1034.
37.
ZhengXLZhangHRenYY, et al. Rollover stability analysis of tank vehicles based on the solution of liquid sloshing in partially filled tanks. Adv Mech Eng2017; 9(6): 1687814017703894.
38.
DodgeFT.The new “dynamic behavior of liquids in moving containers”. San Antonio, TX: Southwest Research Inst., 2000.
39.
LiWLiangHXiaD, et al. Explicit model predictive control of magnetorheological suspension for all-terrain vehicles with road preview. Smart Mater Struct2024; 33(3): 035037.
40.
LarishCPiyabongkarnDTsourapasV, et al. A new predictive lateral load transfer ratio for rollover prevention systems. IEEE Trans Veh Technol2013; 62(7): 2928–2936.
41.
YuHGüvencLÖzgünerÜ.Heavy duty vehicle rollover detection and active roll control. Veh Syst Dyn2008; 46(6): 451–470.
42.
AzadiSJafariASamadianM.Effect of parameters on roll dynamic response of an articulated vehicle carrying liquids. J Mech Sci Technol2014; 28(3): 837–848.
