The prediction of projectile-target intersection for moving tank based on adaptive robust constraint-following control and interval uncertainty analysis

To improve the hit probability of tank at high speed,a prediction method of projectile-target intersection based on adaptive robust constraint-following control and interval uncertainty analysis is proposed.The method proposed provides a novel way to predict the impact point of projectile for moving tank.First,bidirectional stability constraints and stability constraint-following error are constructed using the Udwadia-Kalaba theory,and an adaptive robust constraint-following controller is designed considering uncertainties.Second,the exterior ballistic ordinary differential equation with uncertainties is integrated into the controller,and the pointing control of stability system is extended to the impact-point control of projectile.Third,based on the interval uncertainty analysis method combining Chebyshev polynomial expansion and affine arithmetic,a prediction method of projectile-target intersection is proposed.Finally,the co-simulation experiment is performed by establishing the multi-body system dynamic model of tank and mathematical model of control system.The results demonstrate that the prediction method of projectile-target intersection based on uncertainty analysis can effectively decrease the uncertainties of system,improve the prediction accuracy,and increase the hit probability.The adaptive robust constraint-following control can effectively restrain the uncertainties caused by road excitation and model error.

Trajectory-tracking controller for vehicles on inclined road based onUdwadia–Kalaba equation

Vehicle lateral control is an important subtask of vehicle autonomous driving.There are many external disturbances that will affect the lateral control accuracy of the vehicle,and the inclination of the road is one of the most important ones.The inclined road will lead to additional lateral forces on the vehicle and will also change the magnitude of support force on the vehicle.The change of lateral force and support force will ultimately affect the trajectory tracking performance of the vehicle.Most of the current trajectory tracking methods only consider the trajectory tracking problem on the plane.If the influence of the road surface is considered in the design of the vehicle's trajectory tracking controller,the dynamic response and the tracking accuracy of the vehicle can be improved.This paper proposes a method based on Udwadia–Kalaba equation to calculate the normal and lateral force on a vehicle tracking a desired trajectory on an inclined road.Further,a trajectory tracking controller that considers the road inclination is designed.Finally,the simulation of trajectory tracking performance with an inclination angle is carried out to verify the effectiveness of the proposed controller.