Abstract
This paper presents a new control scheme for lateral collision avoidance (CA) systems to improve the safety of four-in-wheel-motor-driven electric vehicles (FIWMD-EVs). There are two major contributions in the design of lateral CA systems. The first contribution is a new lane-changing model based on vehicle edge turning trajectory (VETT) to make vehicle adapt to different driving roads and conform to drivers’ characteristic, in addition to ensure vehicle steering safety. The second contribution is vehicle semi-uncertainty dynamic model (SUDM), which is SISO model. The problem of stability performance without the information on sideslip angle is solved by the proposed SUDM. Based on the proposed VETT and SUDM, the lateral CA system can be designed with H∞ robust controller to restrain the effect of uncertainties resulting from parameter perturbation and lateral wind disturbance. Single and mixed driving cycles simulation experiments are carried out with CarSim to demonstrate the effectiveness in control scheme, simplicity in structure for lateral CA system based on the proposed VETT and SUDM.
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Abbreviations
- a x :
-
longitudinal acceleration at the center of gravity (CG)
- a y :
-
lateral acceleration at the CG
- a :
-
longitudinal minimum distance model constant
- b :
-
longitudinal minimum distance model constant
- d 0 :
-
minimum distance
- d :
-
track width (the front and rear track widths are assumed to be equal)
- d z :
-
updating threshold of data
- g :
-
acceleration due to gravity
- k :
-
driving intention parameter
- l f :
-
distance from CG to front axle
- l r :
-
distance from CG to rear axle (l = lf + lr)
- m :
-
vehicle mass
- m̅ :
-
nominal value of m
- p m :
-
perturbation range of m
- p I :
-
perturbation range of Iz
- p :
-
number of pole pairs
- r :
-
wheel radius
- v x :
-
longitudinal velocity at the CG
- v xf :
-
longitudinal velocity of following vehicle
- v xl :
-
longitudinal velocity of leading vehicle
- v rel :
-
relative velocity
- v y :
-
lateral velocity at the CG
- v wind :
-
lateral wind velocity
- y e :
-
lane width
- C f :
-
cornering stiffness of front tires
- C r :
-
cornering stiffness of rear tires
- C y :
-
lateral force coefficient
- D :
-
vehicle-to-vehicle distance
- F aero :
-
equivalent longitudinal aerodynamic drag force
- F xfl :
-
longitudinal force acting on the front-left tire
- F xfr :
-
longitudinal force acting on the front-right tire
- F xrl :
-
longitudinal force acting on the rear-left tire
- F xrr :
-
longitudinal force acting on the rear-right tire
- F yfl :
-
lateral force acting on the front-left tire
- F yfr :
-
lateral force acting on the front-right tire
- F yrl :
-
lateral force acting on the rear-left tire
- F yrr :
-
: lateral force acting on the rear-right tire
- F zf :
-
normal force of front tire
- F zr :
-
normal force of rear tire
- G PI(s):
-
transfer function of PI controller
- I z :
-
yaw moment of inertia
- Ī z :
-
nominal value of Iz
- M z :
-
yaw moment
- P max :
-
max. power
- R xf :
-
rolling resistance force at the front tires
- R xr :
-
rolling resistance force at the rear tires
- S veh :
-
vehicle frontal area
- T fl :
-
longitudinal moment acting on the front-left tire
- T fr :
-
longitudinal moment acting on the front-right tire
- T rl :
-
longitudinal moment acting on the rear-left tire
- T rr :
-
longitudinal moment acting on the rear-right tire
- T max :
-
max. torque
- β :
-
vehicle sideslip angle at CG
- γ :
-
yaw rate
- ρ :
-
air density
- δ f :
-
front steering angle
- θ(t):
-
estimated parameters in RLS
- φ(t):
-
regression vector in RLS
- y(t):
-
measured output in RLS
- e(t):
-
identification error in RLS
- λ :
-
forgetting factor in RLS
- φ μ :
-
adhesive coefficient between the tire and the road
- ψ r :
-
interlinkage magnetic flux
- ω max :
-
max. speed
- δ m :
-
perturbation of m
- δ I :
-
perturbation of Iz
References
Abe, M. and Manning, W. (2009). Vehicle Handling Dynamics Theory and Application. Elsevier. Butterworth-Heinemann, UK.
Bian, M. Y. (2012). A vehicle safety distance model for collision avoidance system based on emergency lane change motion. J. Chongqing University of Technology (Natural Science), 4, 1–4.
Chovan, J. D., Tijerina, L., Alexander, G. and Hendricks, D. L. (1994). Examination of Lane Change Crashes and Potential IVHS Countermeasures. NHTSA Technical Report. DOT-VNTSC-NHTSA-93-2.
Doumiati, M., Victorino, A. C., Charara, A. and Lechner, D. (2011). Onboard real-time estimation of vehicle lateral tire-road forces and sideslip angle. IEEE/ASME Trans. Mechatronics 16, 4, 601–614.
Eidehall, A., Pohl, J., Gustafsson, F. and Ekmark, J. (2007). Toward Autonomous Collision Avoidance by Steering. IEEE Trans. Intelligent Transportation Systems 8, 1, 84–94.
EnKe, K. (1979). Possibilities for improving safety within the driver vehicle environment control loop. Proc. 7th Int. Technical Conf. Experimental Safety Vehicles, 789–802.
Ge, R. H., Zhang, W. W. and Zhang, W. (2010). Research on the driver reaction time of safety distance model on highway based on fuzzy mathematics. Proc. IEEE Int. Conf. Optoelectronics and Image Processing, Haiko, Hainan, China.
Girbés, V., Armesto, L., Dols, J. and Tornero, J. (2017). An active safety-system for low-speed bus braking assistance. IEEE Trans. Intelligent Transportation Systems 18, 2, 377–387.
Guo, J., Hu, P. and Wang, R. (2016). Nonlinear coordinated steering and braking control of vision-based autonomous vehicles in emergency obstacle avoidance. IEEE Trans. Intelligent Transportation Systems 17, 11, 3230–3240.
Han, S. and Huh, K. (2011). Monitoring system design for lateral vehicle motion. IEEE Trans. Vehicular Technology 60, 4, 1394–1403.
Jin, L. S., Fang, W. P., Zhang, Y. N., Yang, S. B. and Hou, H. J. (2009). Research on safety lane change model of driver assistant system on highway. Proc. IEEE Intelligent Vehicles Symp., Xi’an, China.
Lian, Y. F., Zhao, Y., Hu, L. L. and Tian, Y. T. (2015a). Cornering stiffness and sideslip angle estimation based on simplified lateral dynamic models for four-in-wheel-motor-driven electric vehicles with lateral tire force information. Int. J. Automotive Technology 8, 4, 669–683.
Lian, Y. F., Zhao, Y., Hu, L. L. and Tian, Y. T. (2015b). Longitudinal collision avoidance control of electric vehicles based on a new safety distance model and constrained regenerative braking strength continuity braking force distribution strategy. IEEE Trans. Vehicular Technology 65, 6, 4079–4094.
Luo, Q., Xun, L. H., Cao, Z. H. and Huang, Y. G. (2011). Simulation analysis and study on car-following safety distance model based on braking process of leading vehicle. Proc. IEEE 9th World Cong. Intelligent Control and Automation, Taipei, Taiwan.
Nakaoka, M., Raksincharoensak, P. and Nagai, M. (2008). Study on forward collision warning system adapted to driver characteristics and road environment. Proc. IEEE Int. Conf. Control, Automation and Systems, Seoul, Korea.
Nam, K., Fujimoto, H. and Hori, Y. (2012). Lateral stability control of in-wheel-motor-driven electric vehicles based on sideslip angle estimation using lateral tire force sensors. IEEE Trans. Vehicular Technology 61, 5, 1972–1985.
Nguyen, B. M., Nam, K., Fujimoto, H. and Hori, Y. (2011). Proposal of cornering stiffness estimation without vehicle sideslip angle using lateral force sensor. IEEJ Technical Meeting Record IIC-11-140, 37–42.
Rahman, M., Chowdhury, M., Xie, Y. C. and He, Y. M. (2013). Review of microscopic lane-changing models and future research opportunities. IEEE Trans. Intelligent Transportation Systems 14, 4, 1942–1956.
Rajamani, R., Phanomchoeng, G., Piyabongkarn, D. and Lew, J. Y. (2012). Algorithms for real-time estimation of individual wheel tire-road friction coefficients. IEEE/ASME Trans. Mechatronics 17, 6, 1183–1195.
Ray, L. R. (1995). Nonlinear state and tire force estimation for advanced vehicle control. IEEE Trans. Control Systems Technology 3, 1, 117–124.
Sierra, C., Tseng, E., Jain, A. and Peng, H. (2006). Cornering stiffness estimation based on vehicle lateral dynamics. Vehicle System Dynamics: Int. J. Vehicle Mechanics and Mobility 44, 1, 24–38.
Tjoennas, J. and Johansen, T. A. (2006). Adaptive optimizing dynamic control allocation algorithm for yaw stabilization of an automotive vehicle using brakes. Proc. IEEE 14th Mediterranean Conf. Control and Automation, Ancona, Italy.
Tunonen, A. J. (2008). Optical position detection to measure tyre carcass deflection. Vehicle System Dynamics: Int. J. Vehicle Mechanics and Mobility 46, 6, 471–481.
Xu, G. Q., Liu, L., Ou, Y. S. and Song, Z. J. (2012). Dynamic modeling of driver control strategy of lane-change behavior and trajectory planning for collision prediction. IEEE Trans. Intelligent Transportation Systems 13, 3, 1138–1155.
Zou, G. C., Luo, Y. G. and Li, K. Q. (2009). 4WD vehicle DYC based on tire longitudinal forces optimization distribution. Trans. Chinese Society for Agricultural Machinery 40, 5, 1–6.
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Lian, Y., Wang, X., Tian, Y. et al. Lateral Collision Avoidance Robust Control of Electric Vehicles Combining a Lane-Changing Model Based on Vehicle Edge Turning Trajectory and a Vehicle Semi-Uncertainty Dynamic Model. Int.J Automot. Technol. 19, 331–343 (2018). https://doi.org/10.1007/s12239-018-0032-1
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DOI: https://doi.org/10.1007/s12239-018-0032-1