Speed Constraint

Speed constraints in motion planning and control are a critical research area focusing on generating optimal and feasible trajectories for various systems, from spacecraft to autonomous vehicles and robotic swarms, while adhering to velocity and acceleration limits. Current research employs diverse approaches, including time-shifting techniques, differential flatness for trajectory optimization, and extensions of the Dubins model to incorporate multiple speeds, aiming for time-optimality or time-risk optimization. These advancements are significant for improving the efficiency, safety, and maneuverability of autonomous systems across numerous applications, particularly in scenarios with complex dynamics or environmental constraints.