Assignment
A) The step response shown in figure 1 below is to be set up in Simulink.
Identify the values that would need entering into the Simulink step block to
ach1eve th1s. “(2‘)
5 :l-
2 Time (t)
Figure I .’ Step Input – u(t) [10 marks]
B) Sketch a Simulink model schematic of the system whose behaviour is
described by the differential equation
d 2 t d t
y2( )+K1-y( )+K2y(t)=u(t)
at at
which is capable of monitoring its output response, ya), on a scope
when it is subjected to the step input u(t) described in A) above.
Please ensure that you show all the block values assigned within it. [20 marks]
C) The simulation developed in B) above was ran and the resulting step
response, y(t), is shown in Figure 2.
Figure 2 .’ Systems Step Response – y(t)
i) Fully describe the process to obtain the plot in figure 2. [20 marks]
ii) How would you set the systems initial conditions to achieve
the response seen in figure 2 ? [10 marks]
iii) Identify the system’s steady state gain and
estimate the value of the system constant K 2.
Hint .’ In the steady state nothing is changing .’ [20 marks]
iv) Evaluate the system’s percentage overshoot and describe
how you would use the simulation to evaluate the
value of the constant K; needed to reduce this to 10% ? [20 marks]