Poles and Zeros of a Transfer Function with Solved Problems(Hindi)

POLES AND ZEROS OF TRANSFER FUNCTION: The transfer function for linear control system is expressed as G(s)=(𝐴(𝑠))/(𝐵(𝑠))="a0sn + a1sn−1 + a2sn−2 +………+ an " /(" b0sm + b1sm−1 + b2sm−2 +………+ bm " ) When numerator and denominator are factorized G(s)=(𝐴(𝑠))/(𝐵(𝑠))=𝐾 ( "(s−s1)(s−s2)" ………."(s−sn)" )/("(s−sa)(s−sb)" ……."(s−sm)" ) Zeros: In transfer function if we put s equal to s1, s2, s3……., sn then transfer function is zero. Hence s1, s2, s3……., sn zeros of transfer function Poles: In transfer function if we put s equal to sa, sb, sc……., sm then transfer function is infinite. Hence sa, sb, sc……., sm poles of transfer function Problems: Q1.For the transfer function plot the poles and zeros in s-plane and determine the value of transfer function at s=2 Q2.The pole-zero plot for the transfer function is given, the value of transfer function at s=1 is 3.2, Determine the transfer function and gain factor K.