Question

A system has a transfer function, GðsÞ ¼ 50

s þ 50

. Find the time constant,

Tc, settling time, Ts, and rise time, Tr.

Answer #1

Time constant (Tc) = T = 0.02 sec

Settling time (Ts) = 2.22T =0.044 sec

Rise time (Tr) = 4T = 0.08 sec

A system has the transfer function H (s)=3(s^2 +7 s)/(s^2
+8s+4).
Draw a Bode plot of the transfer function and classify it as
lowpass, highpass, bandpass, or bandstop. Draw the Direct Form II
for this system

1)Find the Inverse Laplace Transform of
X(s) = (s-1)/((s+1)(s+2)^2)
2)A system with the transfer function
H(s) = (s-5)/((s+1)(s+10))
a)If the input is 2u(t), find the steady-state output of the
system.

Apply the Partial Fraction Expansion to determine the time
response y(t) of the system with transfer function.
G(s) = (1)/(s^2+6s+13)
subjected to the input u(t) = 3

Derive the transfer function H’(s)/Q’(s) for the liquid-level
system when a. The tank level operates about the steady-state value
of hs = 1 ft. b. The tank level operates about the steady-state
value of hs = 3 ft. The pump removes water at a constant rate of 10
cfm (cubic feet per minute); this rate is independent of head. The
cross-sectional area of the tank is 1.0 ft2 and the resistance R is
0.5 ft/cfm.

Develop transfer function for a 2nd order system

The economist for the Grand Corporation has estimated the
company’s cost function, using time series data, to be TC = 50 +
16Q - 2Q2 + 0.2Q3 where TC = Total cost Q = Quantity produced per
period
i. Calculate the average total cost, average variable cost, and
marginal cost for these quantities.
ii. Discuss your results in terms of decreasing, constant, and
increasing marginal costs. Does Grand’s cost function illustrate
all these?

The transfer function for a SISO system is given as
follows:
G(s)=
(s2+2s+10)/(s4+5s3+8s2+3s+12)
1 Is the open loop system stable? Draw pole zero map of the
system. What is the steady
state response of this system for a unit step input?
2 When unit feedback (Kp= 1) is implemented on this
system, write down the closed loop
transfer function. Draw pole-zero map. Is the system stable with
this type of control law?
3 Find all possible proportional controller gains (Kp)...

Transfer function: Linear system+motor
a)write the equation of motion from applying the law of physics
of the system.
b) write the transfer function of the system.

A linear time invariant system has an impulse response given by
ℎ[?] = 2(−0.5) ? ?[?] − 3(0.5) 2? ?[?] where u[n] is the unit step
function.
a) Find the z-domain transfer function ?(?).
b) Draw pole-zero plot of the system and indicate the region of
convergence.
c) Is the system stable? Explain.
d) Is the system causal? Explain.
e) Find the unit step response ?[?] of the system, that is, the
response to the unit step input.
f) Provide...

Copy of For the process described by the exact transfer function
G(s) = 5(s+2)/{(11s+1)(3s+1)(2s+1)(0.5s+1)} Use Taylor series
expansion method to find an approximate first-order-plus-time-delay
transfer function model of the form Ke-θs/(τs+1) and determine the
values of
a. ___________
b. ___________
c. ___________

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