A temporal and spatial re-parameterization of the linear vehicle Bicycle Model is presented utilizing non-dimensional ratios of vehicle parameters called π-groups. Investigation of the π-groups using compiled data from 44 published sets of Vehicle Dynamics reveals a normal distribution about a line through π-space. The normal distribution suggests numerical-values for an 'average' vehicle and maximum perturbations about the average. A state-feedback controller is designed utilizing the π-space line and the expected π-perturbations to robustly stabilize all vehicles encompassed by the normal distribution of vehicle parameters. Experimental verification is obtained using a scaled vehicle.
All Science Journal Classification (ASJC) codes
- Automotive Engineering
- Safety, Risk, Reliability and Quality
- Mechanical Engineering