PID control of inverted pendulum

Design of a PID controller for an inverted pendulum. In this lab: We learn how to use sympy to compute partial derivatives and inverse Laplace transforms, how to use the 'control' module in Python to simulate dynamical systems using their transfer functions and how to design and test PID controllers. ▬ See also ▬▬▬▬▬▬▬▬▬▬▬ Modelling of inverted pendulum:    • Video Lecture 5 - Inverted pendulum dynamics   ▬ Control Systems Textbook ▬▬▬ Check out my textbook on control systems at https://bit.ly/control-systems-book Paperback available on Amazon: US/International: https://www.amazon.com/dp/173913866X UK: https://www.amazon.co.uk/dp/173913866X Other countries: Australia: https://www.amazon.com.au/dp/173913866X Canada: https://www.amazon.ca/dp/173913866X France: https://www.amazon.fr/dp/173913866X Germany: https://www.amazon.de/dp/173913866X Italy: https://www.amazon.it/dp/173913866X Japan: https://www.amazon.jp/dp/173913866X Poland: https://www.amazon.pl/dp/173913866X Spain: https://www.amazon.es/dp/173913866X Sweden: https://www.amazon.se/dp/173913866X The Netherlands: https://www.amazon.nl/dp/173913866X