Department of Mechanical Engineering

Subject: Automation and Control (MMC 52103)

M.Tech. II (Design+MET)

Assignment 3

1. Obtain the transfer function Y(s)/X(s) of the system shown in Fig. 1 using Masons gain formula.

Fig. 1

2. From the signal flow graph shown in Fig. 2, find the overall gain C(s)/R(s). Use Masons gain rule.

Fig. 2

3. Obtain a state-space model of the system shown in Fig. 3.

Fig. 3

4. Consider a unity-feedback control system with the closed-loop transfer function

bass

bKs

sR

sC

2)(

)(

Determine the open-loop transfer function G(s). Show that the steady-state error in the

unit-ramp response is given by

b

Ka

Ke

v

ss

1