Linearization is needed to design a control system using classical design techniques, such as Bode plot and root locus design. Linearization also lets you analyze system behavior, such as system stability, disturbance rejection, and reference tracking.

Why do we linearize control systems?

Stability of any system is property of its equilibrium operating conditions. ... Thus, we can linearize mathematical equations of rigid body dynamics and aerodynamics models to analyze flight dynamic stability and design control laws for operating equilibrium flight conditions.

What is the linearization formula?

The Linearization of a function f(x,y) at (a,b) is L(x,y) = f(a,b)+(x−a)fx(a,b)+(y−b)fy(a,b). This is very similar to the familiar formula L(x)=f(a)+f′(a)(x−a) functions of one variable, only with an extra term for the second variable. ... The function L(x,y) is also called the Linear Approximation to f at (a,b).