Two examples of how to approximate a nonlinear system with a linear model using linearization. The first example is that of an inverted pendulum which can be used to model physical systems like the Segway, the hover board, landing a first stage of a rocket vertically, or a walking biped robot; the Taylor series is used to generate a linear approximation of the pendulum's motion around an angle for zero. The second example uses the logistic population growth model; the equilibrium points are computed and used to get a linear approximation at each point.
** SUBSCRIBE:
/ @endlessengineering
** Check out the website:
endlessenginee...
** Follow us on Instagram for more endless engineering:
/ endlesseng
** Like us on Facebook:
/ endlesseng
** Check us out on twitter:
/ endlesseng
** Segway photo is licensed under Creative Commons and is courtesy of
Joan Campderrós-i-Canas in Flickr: www.flickr.com...
Licence creativecommon...
** First Stange Falcon 9 landing photo is in the public domain courtesy of SpaceX. The photo can be found on SpaceX Flickr account: www.flickr.com...
** World population growth image is courtesy of Lauren Manning on Flickr: www.flickr.com.... The photo is licensed under Creative Commons: creativecommon...
Негізгі бет Linear Approximation Examples: Inverted Pendulum and Logistic Growth
No video
Пікірлер: 5