Work the following problem in a script file named "YourName_Extra.m":
Consider the SISO control system made up of 6 subsystems seen in the topological diagram below:
Input
+
System 1
System 2
System 3
Output
System 4
+
System 5
System 6
Take the transfer functions for the subsystems above to be defined as follows:
\frac{1}{s+2}
H_{1}(s) =
\frac{s+1}{s+5}
H_{2}(s) =
\frac{1}{s}
H_{3}(s) =
H_{4}(s) = 3
\frac{2}{s}
H_{5}(s) =
H_{6}(s) = s+1
a) Create a transfer function model for each of the 6 subsystems shown above using the function tf();
name these models "sys1", "sys2", "sys3", "sys4", "sys5", and "sys6"
b) Use the functions series(), parallel(), and feedback() with the previously generated models
to create a new transfer function model that represents the full loop system; name the model for the
full system "sys_total"
c) Generate a Bode plot and a unit step response plot for "sys_total"
