1. Modern Control Systems EKT 308
Tutorial 3
Modern Control Systems
EKT 308

2. Question 1
For the above circuit, define system state and write state-space equation for the evolution of the state.
Write output equation.
Assuming R = 3, L = 2 and C = 0.333, compute output voltage using Scilab through numerical simulation of the above state space equations for unit step input.
Repeat question 1(c) for unit ramp input.

3. Question 2
a) Consider the first order system given by the following transfer function,
Write system response to unit step input both in s-domain and t-domain.
b) Plot the output of the system versus time using Scilab for unit step input.
c) Plot the output of the system versus time for unit ramp input.

4. Question 3
Assume b = 2 Newton /meter/sec and m= 2 Kg. Find the first order transfer function for the above system.
b) Find the velocity of the system for a unit ramp force input.