Linearising a nonlinear function
To obtain a linear model of a nonlinear system, we assume the variables deviate slightly from an operating condition.
Taylor Series: a series expansion of a function about a point
Taylor Series: linear approximation
The linear approximation of the system (function) can be obtained using the tangent line.
f(x) f(x) + f'(x) (xx)
Nonlinear function: sine function Linearise it at x = pi and x = 5
Plot the nonlinear function and the linearised functions.