The invention refers to a method for controlling the effector trajectory from a current state to a target state. First invariant control parameters of the trajectory are determined. The effector trajectory is then represented in a task description being void of the invariant control parameters. The effector trajectory is controlled on the basis of this task description. The invention further refers to a method for controlling the effector trajectory wherein the effector trajectory is calculated by mapping increments from a control parameter space on a configuration space. The dimensional difference between the configuration space and the control parameter space leaves redundant degrees of freedom of a Null space. The degrees of freedom of the Null space are increased using a task description being void of invariant control parameters. The invention further refers to a respective computer software program product, a manipulator, an actuated camera system, a robot comprising one or more manipulators and an automobile equipped with a driver support system.