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Methods #

Graph theory #

  • modeling networks of agents, analyze interactions
  • sampling-based motion planning with motion primitive automata for multi-modality

The high computational effort, paired with the need for frequent control updates, represents a challenge which I addressed with two approaches. First, I approximated the nonconvex optimization problem using both sequential quadratic programming and a combinatorial reformulation combined with a sampling-based algorithm. Second, to mitigate growing computation times with an increasing number of agents, I designed algorithms acting on a graph representation of the agent network to distribute computations across agents.

Optimization #

  • MPC for motion planning and motion tracking
  • SCP for fast motion planning
  • Graph-based optimization

Learning-based control #

  • RL

Applications #