Reachedtargeted

Reachedtargeted is a term used in control theory, robotics, and automated planning to denote a state in which an agent has arrived at or within a specified tolerance of a designated target state. The concept is commonly applied in sequences of tasks where success on one target enables progression to the next.

Formally, let x be the current state of the agent in an n-dimensional space and t be the target state. With a nonnegative tolerance ε, the target is considered reached if the norm distance ||x - t|| is less than or equal to ε. In practice, alternative definitions may be used, such as componentwise bounds |x_i - t_i| ≤ ε_i for all dimensions i, or additional constraints on velocity, orientation, or pose to ensure a stable arrival.

In planning and control loops, reachedtargeted serves as a termination predicate or a gate that triggers transition to subsequent targets or to a finalization phase. It is often updated at discrete evaluation steps or continuously during motion, depending on the application.

Applications include robotics (arm or mobile robot reaching a pose), autonomous vehicles (approaching a waypoint or docking station), and task execution where a multi-target itinerary must be completed with defined accuracy. The concept is closely related to convergence criteria, reachability analysis, and target-tracking algorithms, and it is sometimes embedded in policy definitions for reinforcement learning or finite-state controllers.

See also: convergence, termination criteria, reachability, target tracking, waypoint navigation.