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4 months ago in Control Theory By Daniel

How do you model a swarm of robots to hold a specific formation?

I'm working on drone swarms and need them to hold a geometric shape. How do you mathematically model each drone's behavior so they maintain correct distances from each other?

FormationControl

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By Trisha Answered 1 month ago

You build a linear state-space model for each agent—usually tracking position and velocity. Then you design a distributed linear feedback control law. Each drone measures its relative position to nearby neighbors and calculates a small adjustment to minimize the error between its current distance and the target distance. Do this continuously for every agent, and the whole swarm self-organizes into the prescribed formation. No central command needed. Just local math, global shape.

By Payal G Answered 1 month ago

From my experience deploying swarms in GPS-denied environments, I would steer you away from rigid setpoint tracking. The robustness you need comes from shifting your modeling mindset from position control to formation stabilization. I have seen great success with a combination of two layers: a consensus-based estimator so each robot maintains a shared belief of the formation's centroid, and lightweight potential fields for local collision avoidance and spacing. This way, if a robot drops out, the remaining ones gracefully re-space rather than breaking formation. Start simple implement the consensus filter first, then layer the geometry on top.

 

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