IEEE Transactions on Robotics · 2021 · 23 citations · 28 references
We present a distributed framework for predicting whether a planned reconfiguration step of a modular robot will mechanically overload the structure, causing it to break or lose stability under its own weight. The algorithm is executed by the modular robot itself and based on a distributed iterative solution of mechanical equilibrium equations derived from a simplified model of the robot. The model treats intermodular connections as beams and assumes no-sliding contact between the modules and the ground. We also provide a procedure for simplified instability detection. The algorithm is verified in the Programmable Matter simulator <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">VisibleSim</i> , and in real-life experiments on the modular robotic system <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Blinky Blocks</i> .
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Linear Algebra and Its Applications
E. I., Gilbert Strang · Mathematics of Computation · 1976 · 1.9K citations
Structured computer organization
Computer Languages · 1985 · 666 citations
Seth Copen Goldstein, Jason Campbell, Todd C. Mowry · Computer · 2005 · 320 citations