US Patent 11008039 Lane change assist apparatus for vehicle

A driving support ECU initializes a target trajectory calculation parameter at a start of LCA; calculates, based on the target trajectory calculation parameter, a target trajectory function representing a target lateral position which is a target position of an own vehicle in a lane width direction in accordance with an elapsed time t from the start of LCA; successively calculates a target lateral movement state amount of the own vehicle based on the target trajectory function and the elapsed time t; calculates a target yaw state amount of the own vehicle based on the target lateral movement state amount and a vehicle speed; and calculates a target control amount based on the target yaw state amount and the target lateral position.