. What is the restriction on the transfer function G2(s) in the system below to obtain zero steady-state error for step inputs if G1(s) is (a) a type 0 TF, (b) a type 1 TF, or (c) a type 2 TF? G2(8) R(s) E(s) 20 C(s) G|(s) |s(s+3)|

3. For the block diagram below, a. Find the closed loop transfer function b. Find the poles and tell the natures of damping of the closed loop system c. Based on the transfer function, please write down the time domain differential equations between inputs and outputs d. For step input, calculate %OS and R(s) + 10 s(s+2) C(s) - wn, S. Tp. T:

EXAMPLE: Given the system of figure below, operating with damping ratio of 0.174, design ideal integral compensator (PI) reduces the ess to zero for a step input without appreciably affecting transient response. Gain Plant R(s) + E(s) C(s) K 1 (s+1)(s+2)(5+10)

Q/ Get the pole, zero, gain values of the transfer functions given below. Theoretical solution. 1 A. G(s) s2+s+4 B. G(s) = s2+9 1 C. G(s) = (s²+3s+5)(s+3)(s+5)