Questions tagged [root-locus]
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47 questions
0 votes
1 answer
89 views
How to find the values of parameter \$a\$ such that some conditions hold?
How to find the values of parameter \$a\$ such that the system will have a pair of complex poles corresponding to a dampening factor of \$\zeta=\frac{1}{\sqrt{2}}\$? I've done Root Locus analysis of ...
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23 views
Root Locus drawing from the input of open loop transfer function
just a clarifying question: When trying to graph root locus by hand, are the poles and zeros placed on the graph the open loop transfer function poles and zeros? And the line you draw moving from ...
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56 views
Root Locus validating second order approximation
I am learning about root locus and designing a lead controller and I understand the basic ideas well as the process of designing a lead controller. I have one question, though: The open loop transfer ...
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84 views
Design a controller using root locus technique
Given the system described by the transfer function $$P(s)=10/(s^2 +1)$$ Design a controller using root locus technique so that: The closed loop system is of first type and $$|e_1|<=0.01$$ The ...
1 vote
0 answers
60 views
Control engineering: how to design a system for desired impulse response
I've designed a system to get a desirable step response. However, I think the impulse response of my system is more important. There are many methods for designing a system for transient response ...
0 votes
1 answer
678 views
The center and radius of root locus
With this opened-loop transfer function, $$ \begin{align*} L(s) & = \dfrac{K(s+2)}{s(s+1)} \end{align*} $$ I would like to plot the root locus of this system. Based on the textbook,...
2 votes
1 answer
658 views
What does the root locus tell us exactly?
More specifically what information can one extract from a root locus drawing without calculating the transfer function and then using Routh Hurwitz or other techniques? Essentially, what information ...
1 vote
1 answer
77 views
Unable to determine transfer function to obtain root locus
This one is pretty straightforward. We set K1 = 4 and want to bring out K2 as a common factor so we can plot the root locus for the system. The correct answer is: $$\small G_{new}(s)=4K_2\frac{(s+6)}{(...
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0 answers
80 views
How are break-away point and break-in points related to damping factor 'd' of a system?
I have to determine gain of P-Controller when damping factor = 1. So in the solutions it is mentioned that damping factor and break-away point are related. Please can anyone clarify how damping factor ...
3 votes
1 answer
413 views
What is the practical advantage of root locus method in control system engineering? [closed]
Recently I learned about the topic. Decades ago, when no computational power was available for engineers, it was surely helpful in some way. But I do not understand what the advantage is nowadays, ...
1 vote
0 answers
383 views
PID - Root Locus (Sisotool) for Transfer Function (TF) with Zero and Poles in Right Plane
I have a 8th order transfer function, you can see it in the first image: % Transfer function num = [2.091,0,203.3,0,-2151,0,-1.072e05]; den = [1,0,-830.4,0,-1.036e05,0,-5.767e05,0,2.412e07]; tf = tf(...
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209 views
Which of the following methods tells Absolute stability & which method tells Relative Stability? Bode Plot, Routh Hurwitz, Root Locus, Nyquist PlotC
Which of the following methods tells Absolute stability & which method tells Relative Stability? I. Bode Plot ii. Routh Hurwitz iii. Root Locus iv. Nyquist Plot What i think is the following ...
1 vote
1 answer
100 views
Trouble with meeting design specifications of a second order system using Matlab
I am trying to solve the following question. Consider the transfer function $$G(s) = \frac{1.247}{s^2+9.76s+23.8}$$ is in the forward path of a unity feedback control loop. Assume that it is ...
0 votes
0 answers
88 views
How to move closed loop pole to meet the design requirements for settling time and overshoot?
I have tried adding a lead compensator as shown in the second image however am now confused as to how to move the closed loop pole on the right into the feasible region. The first image shows the ...
2 votes
1 answer
1k views
Break away/Break in angle in Root Locus method
We are learning Root Locus in our introductory controls course, and one thing has really been confusing me. When the poles are on real axis, is the breakaway angle always 90 degrees? Is there a simple ...