instrumentation and control

1. In the Name of Allah, the Merciful, the Beneficent.
Praise Be To The
Lord Of All Worlds

2. Transfer Function and Response of a closed
loop control system

3. LTI Systems

4. System Response of 1st & 2nd Order Systems

5. POLES & ZEROS
Zeros of a Transfer Function
Poles of a Transfer Function

6. Poles & Zeros of 1st Order System: An Example
• Given the transfer function G(s) in Figure a. Poles and zeros are plotted on the complex s-plane in Figure b.
To show the properties of the poles and zero s,l et us find the unit step response of the system.

7. a. System showing
input and output;
b. pole-zero plot
of the system;
c. evolution of a
system response.
Follow blue arrows
to see the evolution
of the response
component generated
by the pole or zero.

9. Effect of Pole Location in s-plane