EE105 HOMEWORK 3
Due Sept. 27,10
Using Matlab, make a Bode plot of the transfer function H1(s) =
s + 3s + 1
Using Matlab, make a Bode plot of the transfer function H2(s) =
s2 + 3s + 1
Find the transfer function that relates Vel1 to F in the
EE105 HOMEWORK 4
Due Oct. 4, 10
Find the transfer function 1/Tin for the mechanical
arrangement of Fig.3.
1 = 1/sJ1(Tin-T1) T1 = B(1- 2 ) 2 = (1/sJ2)T1
EE105 HOMEWORK 5
Due Oct. 11, 10
The motor and generator of Fig.1 are identical machines. Measurements show that in the
steady state for Vin = 1V .
Iin = 0.05 amps
Vo = 0.8
= 300 rad/sec
Find the motor constants rm,
EE105 HOMEWORK 6
Find the Laplace transform of f(t) = t
Due Nov.01, 10
Lcfw_t = 1/s2
Lcfw_tf(t) = -(d/ds)F(s)
Find the Laplace transform of f(t) = t2
Lcfw_t2 = 1/(2s3)
Find the Laplace transform of f(t) = t3
Lcfw_t3 = 1/(3!s4)
In the system
EE105 HOMEWORK 7
s +4s +6s+16
Find the upper bound on Ko for which the system
Due Nov. 8, 10
Given that GH in Fig.1 is GH=
P(s) = s3+4s2+6s+16+Ko
KoMAX = 4(6)-16 = 8
For KoMAX the syst
EE105 HOMEWORK 8
Due Nov 15, 10
A certain system has the
open-loop transfer function
GH = K(s+1.5)
Locate the breakaway point.
s2- 2s(s+1.5) = 0
Plot the loci.
Show the loci form a circle about the point s=-1.5.
By the angl
EE105 HOMEWORK 9
Due Nov 22, 10
A certain unity-feedback control system with the plant transfer function G(s) = 1/(s+4) 2 is
to be compensated with the controller H(s) = A/s.
Find the maximum value of A=A1 for which the three closed loop poles are ne
EE105 HOMEWORK 10
Due Dec 06, 10
A certain control system has the open-loop transfer function
The closed-loop system is to have a unity gain frequency of 5 rad/sec.
Choose K, z, and p so that the closed-loop s
Given that for a certain system
[(d/dt)2 + 4(d/dt) + 3]c(t) = r(t)
find the system characteristic polynomial.
P(s) = s2 + 4s + 3
Given that the system input is r(t) = U(t), find c(t).
= 1/3 - 1/2 + 1/6
The position control system plant
of Fig.1 has the transfer function
Gp(s) = 1
The system is to be compensated
by the control law
Hc(s) = Ao s + Ai.
Find the system order
Nov 9, 2010
Oct 11, 10
Given that C(s) = (s+1) find c(t).
C(s) = 1/4 - 1/4 + 1/2
c(t) = 1/4 - (1/4)exp(-2t) + (1/2)texp(-2t)
Complete the equations below that
describe the arrangement of Fig.1.
The machine constant is km and t