MATLAB® and Its Applications in Engineering: [Based on MATLAB 7.5 (R2007b)]

11.19. Different Representations of Transfer Functions

The open-loop transfer function of a unity feedback control system can be expressed in two forms:

1. Time constant form.

2. Pole–zero form.

For generalized transfer functions, these can be expressed as follows:

1. Time constant form

   

   where T_zi (i varies from 1 to k) and T_pj (j varies from 1 to l) are the system time constants

2. Pole–zero form

   

   where z_i (‘i’ varies from 1 to k) and p_j (j varies from 1 to l), represent zeros and poles of the transfer function.

The term sⁿ in the denominator represents the ...