In this homework, you need to design a PID controller for an inverted pendulum considered in homework 4. Simulate the output response using 2 different ways:
1. Simulations by script (use the function ode45)
2. Simulations by Simulink
Find a proper Kp, Ki, Kd for your controller.
For this homework, you should additionally submit a report including your analysis. Give the reason if you can't reach the expected control goal.
