Robots fall because classical planners take longer to compute a response than the fall itself. This demo shows our O(1) solver predicting the exact landing state before impact, bracing at the perfect moment, then absorbing the shock with precise compliance. The result is the robot survives a landing that should be impossible.
Classical planning finds the ideal stability position by simulating millions of possible joint movements and kinetic outcomes. This process is computationally expensive and takes hundreds of milliseconds, meaning the robot is guaranteed to crash *before* the software can calculate the necessary brace.
If the simulation takes 100 milliseconds, the robot has already hit the ground and failed its mission.
TSRE uses a proprietary O(1) Algebraic Solver breakthrough to find the optimal impedance profile required for survival. Instead of simulating millions of moves, the solver instantaneously calculates the lowest possible survival state and programs the robot's stiffness and joint angle to achieve it.
Note: Everything shown here is driven by an underlying closed-form physics solution. The solver provides an exact stiffness/angle profile. This animation is a simplified depiction of how a robot would carry out that mathematically optimal response.