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pole-placement

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This Mathematica notebook provides development of a Forward Kinematic model, Inverse Kinematic Model, and Dynamic model using Generalized Momenta method of a Universal Omni Wheeled mobile robot. Also, a PID trajectory tracking controller was developed to track different trajectories with very small error.

  • Updated Sep 13, 2024
  • Mathematica

The Pole's Shadow: The distance of dominant poles from the imaginary axis sets the cognitive budget of linear systems. Determines how long they can remember and integrate slow inputs before transients decay. Explores the robustness vs memory tradeoff with theory, math, simulations and visualizations.

  • Updated Apr 6, 2026
  • Python

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