To improve calculation efficiency of lane-keep control algorithm, a Model Predictive Control (MPC) algorithm for lane-keeping was constructed. A single-rail vehicle model was derived based on rigid body dynamics. The standard vehicle model was based on rigid body dynamics and considered lateral and longitudinal tire force characteristic. Based on that, a simplified vehicle model was derived by assuming zero slip angle and slip ratio. The simplified model formulated yaw rate using linear equations and eliminated the tire model, thereby reducing the complexity of the constraint equations in the MPC. Considering the tracking error, control input, and the cost item of its change rate as the objective function, the control effect of standard vehicle model and simplified vehicle model were compared and analyzed. The results show that the simplified vehicle model achieves similar control performances to the standard model in lane-keeping MPC and avoids the problem of being unable to solve the tire model when the vehicle speed is close to zero. Additionally, the simplified model significantly reduces the computational time required for MPC optimization.
| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |