Complete example: modelling to simulations

A complete worked example that includes: (i) modelling a dynamical system using Newton's second law of motion, (iii) characterisation of the equilibrium points, (iv) linearisation, (v) determination of the transfer function of the linearised dynamics, (vi) determination of the impulse and step response of the system. ▬ Contents ▬▬▬▬▬▬▬▬▬▬ 00:00 - Start 00:30 - Problem statement 02:40 - Modelling 12:50 - State space representation 17:58 - Equilibrium points 21:26 - Linearisation 27:59 - Transfer function 31:15 - Simulations 42:07 - Overview ▬ 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