Feedback Control Theory:Linearization Technique

Linearization Technique

If there is a continuous nonlinearity in the form of

Feedback Control Theory

In Eqs. (1.10) and (1.9) x, y represent small perturbation from the equilibrium point. Equation (1.10) can be written as

K is constant at an operating point. Throughout this book, the lower case variable represents small perturbation from equilibrium point. This is shown in Fig. 1.3.

Equation (1.8) represents one variable system. For a multivariable system, similar linearized equation can be obtained.

The solution of the governing equation simplifies if Laplace Transform is used.