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Control Methods

Collection of modern control strategies implemented in:

  • C++, using Eigen and osqp-eigen
  • Python, using numpy and cvxpy

State Space Model

For a given LTI state space model, two controllers were implemented:

  • Model Predictive Control: Nominal MPC controller with input constraints.
  • Data-enabled Predictive Control: DeePC controller that constructs its input and output Hankel matrices once instantiated.

Results

Markov Decision Process

For a Markov Decision Process, such as Tic Tac Toe or a grid with a starting cell and goal cell, a few controllers were tested:

Model-dependent

Policy Iteration and Value Iteration were used to generate a policy for the processes given their models' transition probabilities.

Reinforcement Learning

Some variations of reinforcement learning were used to obtain efficient model-independent policies for the processes, namely:

  • Q-Learning
  • State–action–reward–state–action (SARSA)
  • Monte Carlo Learning

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Collection of modern control methods such as MPC, DeePC, and reinforcement learning.

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