Problem 3:
Feedback stabilization: Consider a system with input
?(?)
and output
?(?)
and system transfer function
?(?) =
2
?−𝑎
, where
𝑎 > 0
is a constant. Clearly, this system is not BIBO stable due to pole on the right
hand side of the s-plane. A negative feedback with gain
𝐾
can be used to stabilize this system as shown in
the Fig. 1.
a)
Find the transfer function
?(?)
of the system with feedback.
b)
Find the range of values of
𝐾
for which the feedback system becomes stable.
EE 102: Systems and Signals
Winter 2018
Homework #5
–
due in class by end of the lecture on February 22
Instructor: Prof. Danijela Cabric
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