Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 10, Problem 32P
For the Bode plots shown in Figure P10.10, determine the transfer function by hand or via MATLAB. [Section: 10.13]
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2- Using Matlab, what are the step response curves of the closed-loop system, as shown in
fig.1. the feedback represents the second-order dynamic system. (fill in the following
table)
For=0.4
Wn
1
3
6
9
10
R(S)
0.1
0.3
0.6
0.9
1
For w 5 rad/sec
3
Settling time Peak response
2
Wn
s(s+23wn)
Settling time
Peak response
C(s)
Discuss the follow
Which parameters or w occur on the rise time of the response?
Which parameter increases the speed of response?
Which parameters can be decreases the response amplitude?
Which parameter decreases the steady error state?
fig.2
11. Consider a system that can be modeled
as shown. The input x in (t) is a prescribed
motion at the right end of spring k 2. Find
X(s)
the system transfer function
Xeq(s)*
m
k₂
ww
Xin
The values of the parameters are m= 30 kg,
k ₁=700 N/m, k 2= 1300 N/m, and b=200 N-
s/m. Write a MATLAB script file that: (a)
calculates the natural frequency, damping
ratio, and damped natural frequency for the
system; and (b) uses the impulse
command to find and plot the response of
the system to a unit impulse input.
For the system represented by the following block diagram, Find
a) The Closed-loop Transfer function.
b) Characteristic equation.
c) Type and Order of the system.
c) Time-domain Specifications ( Delay Time, Peak Time, Rise Time, Settling time, and Percentage
overshoot).
R(s)
C(s)
G(s)
H(s)
Where G(s) and H(s) are given as :
324
G(s) =
s(s+6)
H(S) :
1
Chapter 10 Solutions
Control Systems Engineering
Ch. 10 - Prob. 1RQCh. 10 - Prob. 2RQCh. 10 - Prob. 3RQCh. 10 - Briefly describe how to obtain the frequency...Ch. 10 - Prob. 5RQCh. 10 - Each pole of a system contributes how much of a...Ch. 10 - Prob. 7RQCh. 10 - Prob. 8RQCh. 10 - Prob. 9RQCh. 10 - What is the major difference between Bode...
Ch. 10 - Prob. 11RQCh. 10 - Prob. 12RQCh. 10 - Prob. 13RQCh. 10 - 14. What is a Nyquist diaoram?
Ch. 10 - Prob. 15RQCh. 10 - 16. When sketching a Nyquist diagram, what must be...Ch. 10 - Prob. 17RQCh. 10 - Prob. 18RQCh. 10 - Prob. 19RQCh. 10 - Prob. 20RQCh. 10 - Prob. 21RQCh. 10 - Prob. 22RQCh. 10 - Prob. 23RQCh. 10 - Prob. 24RQCh. 10 - Prob. 25RQCh. 10 - Prob. 26RQCh. 10 - Prob. 1PCh. 10 - Prob. 7PCh. 10 - Prob. 14PCh. 10 - For each closed-loop system with the following...Ch. 10 - Prob. 27PCh. 10 - For the Bode plots shown in Figure P10.10,...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- (1) Consider the system represented by the block diagram. The closed loop transfer function T(s)-Y(s)/R(s) is (a) T(s)-50/(s+55 s+50). (b) T(s)=10/(s+50 s+55) (c) T(s)=10/(s+55 s+10). (d) None of the above. R(s)- 10 + s+5 5 Y(s)arrow_forwardroot locus electrical engineering Don't overthink and reject. Complete the solution as per the given transfer function. No need of quadratic equation just simplify for the exact given transfer function.arrow_forwardFor the system with open loop transfer function given by R(s) K s(s + 1) (s² + 4s +13) where K is the feedback gain. Sketch the root locus a) How many asymptotes are there for this system's root locus? what are asymptote angles? What is the center of asymptotes? C(s) b) Does the root locus cross the imaginary axis? where and what is the value of K at that point? c) Is there any break away, break in points? What is the approximate values of these points?arrow_forward
- Match the transfer function with correct Bode phase plots. G(s) = 5 $+7 G(s)=s+5 G(s) = s+10 S S G(s) = S+ 10 QUESTION 10 90 deg 00 0 deg -90 deg 180 deg B. D 90 deg @ 0 deg -90 deg 180 deg 90 deg @ 0 deg -90 deg 180 deg 90 deg @ 0 deg -90 deg 180 degarrow_forwardR$ RL V (t) V(t) L Figure 7: A tuning circuit for radio 5. Figure 7 shows a tuning circuit used in radio. Derive the state equation using the linear graph approach. Also let the output variable be the voltage vo(t). Derive the output equation.arrow_forwardQUESTION 5 An open-loop transfer function for a root locus is given as: 2K (S + 4) S(S + 2) (S + 8) Use the given transfer function to determine the following: 5.1 The open-loop poles and the zeros G(s)H(s) = Do some of the loci break away? Explain. The centre of asymptotes The asymptotic angles 5.5 The stability of the system 5.2 5.3 5.4arrow_forward
- Consider a system described by the following dynamic equation: 5x + 17* + 20x + 8x = 4f(t) -0.9g(t) Submit to Connect: What form is this dynamic model in? a. Draw the block diagram for this system if x(t) is the output and f(t) is the input to the system. b. Write out each of the Transfer Functions for this system, and describe the expected characteristic behavior of the system and the differences between the response x(t) to f(t) and g(t). c. Define the state equations for this system. Also define the A, and B matrices for the system.arrow_forwardConstruct the Bode plots of the following transfer functions. Indicate Gain Margin and Phase Margin of the systems. a) b) 8 s(1.25s + 1)(s+2) 1.6 (s+0.4)(s+0.8) (s + 1)arrow_forward11. A system is described by the following differential equation: [Section 2.3] d'x dx +2 + 3x = 1 dt with the initial conditions x(0) = 1, ¿(0) = -1. Show a block diagram of the system, giving its transfer function and all pertinent inputs and out- puts. (Hint: the initial conditions will show up as added inputs to an effective system with zero initial conditions.)arrow_forward
- For the given close-loop system transfer function, determine its stability using Routh-Hurwitz Test for Stability.1. What is the stability of the system? (Stable, Unstable, Marginally Stable)arrow_forwardThe open loop transfer function of a humanoid's arm control system is given as: K G(s) = 2 s(s + 2s + 2) (a) Clearly locate all poles and zeros on a linear graph paper. Provide calculations for the following: asymptote angles, centroid for asymptotes, and departure angle from complex pole. (b) Plot the complete root locus, with the locus on the real axis is clearly shown. Use the scale of 4 cm : 1 unit for both axes and choose the longer side of the graph paper as the real axis.arrow_forwardThe Gilles & Retzbach model of a distillation column, the system model includes the dynamics of a boiler, is driven by the inputs of steam flow and the flow rate of the vapour side stream, and the measurements are the temperature changes at two different locations along the column. The state space model is given by: x = 0 00 -30.3 0.00012 -6.02 0 0 0 -3.77 00 0 -2.80 0 0 Is the system?: a. unstable b. C. not unstable x+ 6.15 0 0 0 0 3.04 0 0.052 not asymptotically stable d. asymptotically stable -1 u y = 0 0 0 0 -7.3 0 0 -25.0 Xarrow_forward
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