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cmu's Introduction

Linear Control System

p1

Linearize the state space model
Design a PID lateral and PID longitudinal controller

p2

Check the controllablility and stabilizability fo the linearized system
Design a lateral full-state feedback controller

p3

Design a lateral optimal controller

p4

Implement EKF SLAM to control the vehicle without default sensor input

p5

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

Underactuated Robot

HW1

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

HW2

Finite-time, optimal quadratic regulator for sliding block
Grid world using dynamic programming

HW3

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

HW4

iLQR algorithm
analyze the stability of the rimless wheel walking down a uniform slope\

RFT modeling

Apply Resistive Force Theory (RFT) on the Terradynamics of Legged Locomotion on Granular Media

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