Linearize the state space model
Design a PID lateral and PID longitudinal controller
Check the controllablility and stabilizability fo the linearized system
Design a lateral full-state feedback controller
Design a lateral optimal controller
Implement EKF SLAM to control the vehicle without default sensor input
Design a baseline LQR controller to fly the quadrotor without any motor failure
Design a MRAC to fly the quadrotor with 50% lost of thrust in one motor
Check the system is actuated or underactuated (controllablility)
Find Basin of attraction of stable fixed points in simple pendulum
Find minimum-time policy and LQR policy to control double integrator system
Finite-time, optimal quadratic regulator for sliding block
Grid world using dynamic programming
Energy-based swing-up and LQR balancing controllers for the cart-pole system
Single shooting algorithm for the simple pendulum with actuator constraints
Hermite-Simpson direct collocation algorithm for the cart-pole system
Feedback-stabilizing controller around the open-loop state
iLQR algorithm
analyze the stability of the rimless wheel walking down a uniform slope\
Apply Resistive Force Theory (RFT) on the Terradynamics of Legged Locomotion on Granular Media