Existing Air Traffic Control (ATC) procedures rely completely on human supervision and control. However, with the burgeoning traffic demands, it has become necessary to find options for automated (and possibly decentralized) traffic control. In particular, the problem of aircraft collision avoidance is of great interest. However, current approaches, [1] [2], are either computationally intensive...

This paper studies the problem of target control and how a virtual ellipsoid can avoid static obstacle. During motion to set, achieve under collision avoidance by keeping distance between We present solutions this in class closed-loop (feedback) controls based on Hamilton–Jacobi–Bellman (HJB) equation. Simulation results verify validity effectiveness our algorithm.