Linear quadratic game and non-cooperative predictive methods for potential application to modelling driver–AFS interactive steering control
- 1 February 2013
- journal article
- research article
- Published by Taylor & Francis in Vehicle System Dynamics
- Vol. 51 (2), 165-198
- https://doi.org/10.1080/00423114.2012.715653
Abstract
This paper is concerned with the modelling of strategic interactions between the human driver and the vehicle active front steering (AFS) controller in a path-following task where the two controllers hold different target paths. The work is aimed at extending the use of mathematical models in representing driver steering behaviour in complicated driving situations. Two game theoretic approaches, namely linear quadratic game and non-cooperative model predictive control (non-cooperative MPC), are used for developing the driver–AFS interactive steering control model. For each approach, the open-loop Nash steering control solution is derived; the influences of the path-following weights, preview and control horizons, driver time delay and arm neuromuscular system (NMS) dynamics are investigated, and the CPU time consumed is recorded. It is found that the two approaches give identical time histories as well as control gains, while the non-cooperative MPC method uses much less CPU time. Specifically, it is observed that the introduction of weight on the integral of vehicle lateral displacement error helps to eliminate the steady-state path-following error; the increase in preview horizon and NMS natural frequency and the decline in time delay and NMS damping ratio improve the path-following accuracy.Keywords
This publication has 27 references indexed in Scilit:
- Vehicle dynamics applications of optimal control theoryVehicle System Dynamics, 2011
- Two degrees of freedom PID multi-controllers to design a mathematical driver model: experimental validation and robustness testsVehicle System Dynamics, 2011
- A model of driver steering control incorporating the driver's sensing of steering torqueVehicle System Dynamics, 2011
- Nash Equilibria in Multi-Agent Motor InteractionsPLoS Computational Biology, 2009
- Application of linear preview control to modelling human steering controlProceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 2009
- Advanced driver assistance systems: Objective and subjective performance evaluationVehicle System Dynamics, 2008
- Anticollision system PRORETA with automatic braking and steeringVehicle System Dynamics, 2008
- Direct yaw moment control system based on driver behaviour recognitionVehicle System Dynamics, 2008
- Predictive and linear quadratic methods for potential application to modelling driver steering controlVehicle System Dynamics, 2006
- Modeling Human Vehicle Driving by Model Predictive Online OptimizationVehicle System Dynamics, 2001