Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 8, Problem 2P
Sketch the general shape of the root locus for each of the open-loop pole-zero plots shown in Figure P8.2. [Section: 8.4]
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Find the equivalent closed loop transfer function for the system
R(s)
E(s)
Y(s)
3
K
s+2
10
s+10
(Ctrl)
QUESTION 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
5.4
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)
Chapter 8 Solutions
Control Systems Engineering
Ch. 8 - Prob. 1RQCh. 8 - Prob. 2RQCh. 8 - Prob. 3RQCh. 8 - Prob. 4RQCh. 8 - Prob. 5RQCh. 8 - What are two ways to find where the root locus...Ch. 8 - Prob. 7RQCh. 8 - Prob. 8RQCh. 8 - Prob. 9RQCh. 8 - How would you determine whether or not a root...
Ch. 8 - Prob. 11RQCh. 8 - Prob. 12RQCh. 8 - Prob. 13RQCh. 8 - Prob. 1PCh. 8 - Sketch the general shape of the root locus for...Ch. 8 - Prob. 3PCh. 8 - Let Gs=Ks+23s2s+6 in Figure P8.3. [Section: 8.5]...Ch. 8 - Let Gs=Ks+12s2+2s+2 with K0 in Figure P8.3....Ch. 8 - For the open-loop pole-zero plot shown in Figure...Ch. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - Figure P8.5 shows open-loop poles and zeros. There...Ch. 8 - Prob. 10PCh. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - Sketch the root locus and find the range of K for...Ch. 8 - For the unity feedback system of Figure P8.3,...Ch. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Given the root locus shown in Figure P8.7,...Ch. 8 - Prob. 19PCh. 8 - For the unity feedback system of Figure P8.3,...Ch. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - For the unity feedback system shown in Figure 8.3,...Ch. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39PCh. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 45PCh. 8 - Repeat Problem 3 but sketch your root loci for...Ch. 8 - Prob. 47PCh. 8 - Prob. 49PCh. 8 - Prob. 50PCh. 8 - Prob. 51PCh. 8 - Prob. 52PCh. 8 - Prob. 53PCh. 8 - Prob. 55PCh. 8 - Prob. 57PCh. 8 - Prob. 58PCh. 8 - Prob. 59PCh. 8 - Wind turbines, such as the one shown in Figure...Ch. 8 - Prob. 62PCh. 8 - Prob. 67PCh. 8 - Prob. 68PCh. 8 - Prob. 70PCh. 8 - Prob. 72P
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- The 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_forward(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_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
- Part A: Find the steady-state solution of the mechanical system shown below: k mu E m G(s) F(t) F(t) = F sin wt Part B: Sketch the root locus for the transfer function: Ks (s+ 4) (s + 3)(s + 1)arrow_forwardR(S) s+5 Find Closed Loop Transfer function XIS K s+2 s+3 Y(s)arrow_forwardöialg äbäi the open - loop transfer function of the system given as in figure below, what is error steady state * for an input r(t)=1+4t+3t^2 10 (s+1) G(s) s²(5s+6) 3.6 O 5.6 O 7.6 O 10.6 Oarrow_forward
- Given the system equipped with unitary feedback, whose direct branch transfer function is: Design a PID controller with one of the Ziegler-Nichols methods.arrow_forwardFor 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) : 1arrow_forward3- Nise (4.4) A unity feedback control system has the following open-loop transfer function: G(s) = 45+¹ Find expressions for 4s+1 45² its time response when is subjected to unit impulse input.arrow_forward
- root 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_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_forwardSimplify the block diagram shown below. Then, obtain the closed-loop transfer function C(s)/R(s). H3 R(s)- G1 G2 G3 G4 > C(s) H +arrow_forward
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