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EE 3151 Homework # 4
Fall 2019
O
Total: 120 points; Due: October 28 (Monday)
1. A unity feedback system with its forward transfer function G(s) = K(s+a)/s(s+B) is to be
designed to meet the following requirements: (1) the steady-state error for a unit ramp
input equals to 0.1 and (2) the closed-loop poles will be located at -1 + j1. Find K, a, and B
in order to meet the specifications. (12 points)
2. The system given below is to have the following specifications: Kv = 10, ( = 0.5. Find the
value of ki and kf required for the specifications to be met. (12 points)
Alt G
R (S)
10
KI
C (s)
s (s+ 1 )
KfS
3. Consider the system shown where G(s) = 5/s(s+1)(s+2) and H(s) = (s+3)
G(S
H(s)
41, 2426 = W
2 EW = 2,12
(a) Find Kp, Kv and Ka and also state the system type.
2 ( 5) ( 4, 2426)
(b) Find the steady-state error e(t) if a saw-tooth signal shown below is applied to the
system (assume that the system time constant t << 1). (20 points)
A r(t)
1
2
3
1...

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- Fall '19
- Dr. Jiann-Shiou Yang