Linear Approximation Examples: Inverted Pendulum and Logistic Growth

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.

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[gaurav_IITB]

How are you able to write like mirror image, I mean it must be very difficult

[manasgupta]

Interested in learning Model Predictive Control and Receding Horizon Control through these videos if possible. Thanks!