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Problem 4. For the following system determine the following: Refer to Lecture 7/16/19 | Geel K...
% MATLAB allows root loci to be plotted with the % rlocus(GH) command, where G(s)H(s) =...
% MATLAB allows root loci to be plotted with the
% rlocus(GH) command, where G(s)H(s) = numgh/dengh and GH is an
LTI transfer-
% function object. Points on the root locus can be selected
interactively
% using [K,p] = rlocfind(GH) command. MATLAB yields gain(K)
at
% that point as well as all other poles(p) that have that gain.
We can zoom
% in and out of root locus by changing range of axis values
using
% command axis([xmin,xmax,ymin,ymax]). root locus...
Exercise 10 (8 Marks) Given the open loop transfer function of a system: KH(S) = K...
Exercise 10 (8 Marks) Given the open loop transfer function of a system: KH(S) = K s(s +3Xs? +2s +2) Draw manually the root locus plot for the system and determine: a) The number of branches. b) The starting and ending points of all the branches. c) The location of the centroid d) The range of K to keep this and angles of asymplotes. e) The intersections of the root loci with the imaginary axis and the corresponding value of...
QUESTION 2: Again, for the feedback control system from Question 1, Let G(S) 3 +27 s2 +218 s+504 ...
QUESTION 2: Again, for the feedback control system from Question 1, Let G(S) 3 +27 s2 +218 s+504 s2 +6s+34 Part a) What are the poles and zeroes of G(s)? Part b) Plot the root-locus using RLOCUS.M - Refer to the MATLAB notes in the back of this handout. - Be sure to indicate the direction of "increasing K" on each branch Part c) Comment on this root-locus plot How it pertains to poles and zeros of G(s), etc. Are...
K(s+2) 2) Sketch the tot locus of closed loop system with openloop D (s)G(s) = s...
K(s+2) 2) Sketch the tot locus of closed loop system with openloop D (s)G(s) = s +2s+3. a. sketch real root locus b. find the asymptotes c. find the departure angles of complex poles d. sketch the root locus to the best of your ability e. Use matlab rlocus () to confirm your sketch (include a print out of your plot)
PID controller: KG (5) - K(s’+1.55 +0.5) Plant: G (s)=- 1 (20s +1)(10s +1)(0.5s +1) For...
PID controller: KG (5) - K(s’+1.55 +0.5) Plant: G (s)=- 1 (20s +1)(10s +1)(0.5s +1) For this control system, do the following tasks. Advice: Before you start, it is advised that you convert G,(s) to a standard form so that the leading coefficients of the denominator polynomials become 1 (without altering the overall transfer function). (1) Plot the root locus for 0 <K<using a computer tool, e.g., Matlab tools such as rlocus(), rltool() or any appropriate computer tools. Also, read...
Nise Ch. 10, Problem 10.(**Ignore book question**) Here is is the questions for each system, (a) ...
Nise Ch. 10, Problem 10.(**Ignore book question**) Here is is the questions for each system, (a) Use MATLAB to draw/plot the root locus (b) Obtain the limits for stable gain. (c) Get bode plot (d) Get gain margin and limits for stable K/gain. (It should be the same as the values obtained from the locus) -Suggestion ) Use the commands like 'rlocus, riocfind' and 'bode, in Matlab. C(s) R(s)+ | (s + 2) -ㄒㄧ System I R(s) + C(s) (s...
The system considered in this problem is in the form: 1. Determine the open-loop transfer funct...
The system considered in this problem is in the form: 1. Determine the open-loop transfer function G(s) corresponding to the following root locus plot. Root Locus 50 40 30 n 20 10 -20 30 F 40 -50 -12 -10 -8 -6 -4 2 Real Axis (seconds 2. Confirm your answer to question 1 in MATLAB (use rlocus (G)). Provide plot and code.
The system considered in this problem is in the form:
1. Determine the open-loop transfer function G(s) corresponding...
Q.2 (10 marks) Consider the system shown in Fig.2 with K(5-3) H(s) = (s – 4)...
Q.2 (10 marks) Consider the system shown in Fig.2 with K(5-3) H(s) = (s – 4) (s+1)(s+2) (a) Sketch the root locus of the closed-loop system as the gain K varies from zero to infinity. (b) Based on the root locus, determine the range of K such that the system is stable and under-damped. (c) Determine the K value such that the closed-loop system is over-damped and stable. (d) Use MATLAB draw the root locus and confirm the root locus...
% We can couple the design of gain on the root locus with a % step-response...
% We can couple the design of gain on the root locus with a
% step-response simulation for the gain selected. We introduce
the command
% rlocus(G,K), which allows us to specify the range of gain, K,
for plotting the root
% locus. This command will help us smooth the usual root locus
plot by equivalently
% specifying more points via the argument, K. Notice that the
first root locus
% plotted without the argument K is not smooth. We...
Let G,()+3s+5) , K-1 and Ge 1 I Determine the loop transfer function L(s)-KG.G. Use 'margin' command in matlab to generate the Bode Plot for L(s). (a) What are its gain and phase margins (the...
Let G,()+3s+5) , K-1 and Ge 1 I Determine the loop transfer function L(s)-KG.G. Use 'margin' command in matlab to generate the Bode Plot for L(s). (a) What are its gain and phase margins (these should be available in the plots). (b) Convert the gain margin in dB to absolute value. (c) For what value of the gain K would the closed loop system become marginally stable? (d) Show that, for this value of K, the closed loop system does...
% MATLAB allows root loci to be plotted with the
% rlocus(GH) command, where G(s)H(s) = numgh/dengh and GH is an
LTI transfer-
% function object. Points on the root locus can be selected
interactively
% using [K,p] = rlocfind(GH) command. MATLAB yields gain(K)
at
% that point as well as all other poles(p) that have that gain.
We can zoom
% in and out of root locus by changing range of axis values
using
% command axis([xmin,xmax,ymin,ymax]). root locus...
Exercise 10 (8 Marks) Given the open loop transfer function of a system: KH(S) = K s(s +3Xs? +2s +2) Draw manually the root locus plot for the system and determine: a) The number of branches. b) The starting and ending points of all the branches. c) The location of the centroid d) The range of K to keep this and angles of asymplotes. e) The intersections of the root loci with the imaginary axis and the corresponding value of...
QUESTION 2: Again, for the feedback control system from Question 1, Let G(S) 3 +27 s2 +218 s+504 s2 +6s+34 Part a) What are the poles and zeroes of G(s)? Part b) Plot the root-locus using RLOCUS.M - Refer to the MATLAB notes in the back of this handout. - Be sure to indicate the direction of "increasing K" on each branch Part c) Comment on this root-locus plot How it pertains to poles and zeros of G(s), etc. Are...
K(s+2) 2) Sketch the tot locus of closed loop system with openloop D (s)G(s) = s +2s+3. a. sketch real root locus b. find the asymptotes c. find the departure angles of complex poles d. sketch the root locus to the best of your ability e. Use matlab rlocus () to confirm your sketch (include a print out of your plot)
PID controller: KG (5) - K(s’+1.55 +0.5) Plant: G (s)=- 1 (20s +1)(10s +1)(0.5s +1) For this control system, do the following tasks. Advice: Before you start, it is advised that you convert G,(s) to a standard form so that the leading coefficients of the denominator polynomials become 1 (without altering the overall transfer function). (1) Plot the root locus for 0 <K<using a computer tool, e.g., Matlab tools such as rlocus(), rltool() or any appropriate computer tools. Also, read...
Nise Ch. 10, Problem 10.(**Ignore book question**) Here is is the questions for each system, (a) Use MATLAB to draw/plot the root locus (b) Obtain the limits for stable gain. (c) Get bode plot (d) Get gain margin and limits for stable K/gain. (It should be the same as the values obtained from the locus) -Suggestion ) Use the commands like 'rlocus, riocfind' and 'bode, in Matlab. C(s) R(s)+ | (s + 2) -ㄒㄧ System I R(s) + C(s) (s...
The system considered in this problem is in the form: 1. Determine the open-loop transfer function G(s) corresponding to the following root locus plot. Root Locus 50 40 30 n 20 10 -20 30 F 40 -50 -12 -10 -8 -6 -4 2 Real Axis (seconds 2. Confirm your answer to question 1 in MATLAB (use rlocus (G)). Provide plot and code.
The system considered in this problem is in the form:
1. Determine the open-loop transfer function G(s) corresponding...
Q.2 (10 marks) Consider the system shown in Fig.2 with K(5-3) H(s) = (s – 4) (s+1)(s+2) (a) Sketch the root locus of the closed-loop system as the gain K varies from zero to infinity. (b) Based on the root locus, determine the range of K such that the system is stable and under-damped. (c) Determine the K value such that the closed-loop system is over-damped and stable. (d) Use MATLAB draw the root locus and confirm the root locus...
% We can couple the design of gain on the root locus with a
% step-response simulation for the gain selected. We introduce
the command
% rlocus(G,K), which allows us to specify the range of gain, K,
for plotting the root
% locus. This command will help us smooth the usual root locus
plot by equivalently
% specifying more points via the argument, K. Notice that the
first root locus
% plotted without the argument K is not smooth. We...
Let G,()+3s+5) , K-1 and Ge 1 I Determine the loop transfer function L(s)-KG.G. Use 'margin' command in matlab to generate the Bode Plot for L(s). (a) What are its gain and phase margins (these should be available in the plots). (b) Convert the gain margin in dB to absolute value. (c) For what value of the gain K would the closed loop system become marginally stable? (d) Show that, for this value of K, the closed loop system does...
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