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Mathematical implementation of robotics algorisms such as MDP, EKF, RRT, and etc.

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Computational Robotics

Content:

  • MDP System
  • Planning
  • Policy Iteration
  • Value Iteration

Content:

  • Trajectory planning of a tank-drive robot
  • Implemented an RRT planner for generating trajectories given a special initial state and a desired goal region
  • Visualized RRT evolution
  • Compared performance of RRT* algorithm on the planner vs. original RRT planner used previously

Content:

  • Two-wheeled robot with microcontroller in both ideal state and real state considered
  • Mathematical setup of the robot in a rectangular space:
  • Create a Kalman Filter based state estimator to generate a state estimate, based on motor commands and sensor measurements
  • Implemented an Extended Kalman Filter (EKF)
  • Evaluate the algorithms in simulated environments

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Mathematical implementation of robotics algorisms such as MDP, EKF, RRT, and etc.

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