Electronics Fundamentals: Circuits, Devices & Applications
8th Edition
ISBN: 9780135072950
Author: Thomas L. Floyd, David Buchla
Publisher: Prentice Hall
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Chapter 19, Problem 6P
Find the value of
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Q2. Figure Q2 shows a block diagram with an input of C(s) and an output R(s).
a)
C(s)
K₁
R(s)
K2
1 + 5s
1+2s
Figure Q2. Block diagram of control system.
Simply the block diagram to get the transfer function of the system C(s)/R(s).
b)
What is the order of the system?
c)
What is the gain of the system?
d) Determine the values of K₁ and K₂ to obtain a natural frequency w of
0.5 rad/s and damping ratio of 0.4.
e) What is the rise time and overshoot of the system with a unit step input?
Q4.
a) A purely derivative controller (i.e. with a zero at the origin only) is defined
by an improper transfer function. Considering its asymptotic behaviour,
explain why a purely derivative controller is difficult to implement in
practice. Relate your explanation to the potential limitations on system
performance.
b) Discuss the potential issues faced by a control system with a large cut-off
frequency. Relate your discussion to the implications on system
performance.
c)
The transfer function of a lag compensator is given by
2
KPID(S) = 2.2++0.2s
S
By using the asymptotic approximation technique:
(i) Obtain the standard form and corner frequency for each individual
component of KPID(S).
(ii) Clearly describe the asymptotic behaviour of each individual
component of KPID(S).
Module Code: EN2058
Q1. a) List the advantages and disadvantages of a closed loop system compared to
an open loop system.
b)
c)
What is the procedure for designing a control system for a bread toaster?
An RC circuit is given in Figure Q1. vi(t) and v(t) are the input and output
voltages.
(i) Derive the transfer function of the circuit.
(ii) With a unit step change vi(t) applied to the circuit, derive and sketch the
time response of the circuit.
R1 R2
v₁(t)
R3 C1
vo(t)
R₁ =R2 = 10 k
R3 = 100 kn C₁ = 100 μF
Figure Q1. RC circuit.
(iii) Assuming zero initial conditions, obtain the impulse and ramp responses
of the circuit from the step response derived in (ii). Sketching is not
needed.
Chapter 19 Solutions
Electronics Fundamentals: Circuits, Devices & Applications
Ch. 19 - A comparator will have a positive output whenever...Ch. 19 - Prob. 2TFQCh. 19 - Prob. 3TFQCh. 19 - Prob. 4TFQCh. 19 - Prob. 5TFQCh. 19 - The output of a Wien-bridge oscillator is a...Ch. 19 - A Wien-bridge oscillator uses both positive and...Ch. 19 - A two-pole filter has a maximum roll-off rate of...Ch. 19 - Prob. 9TFQCh. 19 - Prob. 10TFQ
Ch. 19 - Prob. 1STCh. 19 - To use a comparator for zero-level detection, the...Ch. 19 - Prob. 3STCh. 19 - Prob. 4STCh. 19 - The gain of the amplifier in Question 4 is -1 -2.2...Ch. 19 - To convert a summing amplifier to an averaging...Ch. 19 - Prob. 7STCh. 19 - Prob. 8STCh. 19 - The feedback path in an op-amp differentiator...Ch. 19 - Prob. 10STCh. 19 - Prob. 11STCh. 19 - Prob. 12STCh. 19 - Determine the output level (maximum positive or...Ch. 19 - A certain op-amp has open-loop gain of 80,000. The...Ch. 19 - Prob. 3PCh. 19 - Determine the output voltage for each circuit in...Ch. 19 - Determine the following in Figure 19—62: VR1 and...Ch. 19 - Find the value of Rf necessary to produce an...Ch. 19 - Find the output voltage when the input voltages...Ch. 19 - Determine the values of the input resistors...Ch. 19 - Determine the rate of change of the output voltage...Ch. 19 - A triangular waveform is applied to the input of...Ch. 19 - Prob. 11PCh. 19 - Calculate the resonant frequency of a lead-lag...Ch. 19 - Determine the JFET drain-to-source resistance in...Ch. 19 - Explain the purpose of D1 in Figure 19-66.Ch. 19 - Find the frequency of oscillation for the...Ch. 19 - What type of signal does the circuit in Figure...Ch. 19 - Prob. 17PCh. 19 - Determine the number of poles in each active...Ch. 19 - Calculate the critical frequencies for the filters...Ch. 19 - Determine the bandwidth and center frequency of...Ch. 19 - Determine the output voltage for the series...Ch. 19 - If R3 in figure 19-70 is doubled, what happens to...Ch. 19 - Prob. 23PCh. 19 - A series voltage regulator with constant-current...Ch. 19 - If R4 (determined in Problem 24) is halved, what...Ch. 19 - In the shunt regulator of Figure 19-72, when the...Ch. 19 - Assume that IL remains constant and VIN increases...Ch. 19 - Open file P19-29; files are found at...Ch. 19 - Open file P19-30 and determine if there is a...
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