ECED 4602 Control Systems
Assignment 2
Q1. For each of the unit step responses shown in Fig. 1, find the transfer functions.
Figure 1. Step responses for Q1
Q2. For the 2nd order systems shown below, find the poles of the systems as well as
performance parameters such as damping ratio, natural frequency of oscillation, settling
time, peak time, and percent overshoot.
Q3. For the system shown in Fig. 2, find the transfer function,
overshoot, peak time, and settling time.
, and determine percent
Figure 2. Rotational system for Q3
Q4. Represent the transfer function in Q3 in state space format. Calculate the eigen values
of the system. Is the system stable?
Q5. Find the transfer function for the system represented by following state space format.
Is the system stable?
Q6. Represent the system shown in Fig. 3 in the form of state space, where output is the
load angular position, ѲL(s). Comment on the stability of the system.
Figure 3. Rotational system for Q6