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How to obtain the pole zero map and step response of the 2nd order system and determine the mode of damping in the system using MATLAB?

$$\frac{C(s)}{R(s)}=\frac{\omega_n^2}{s^2+2\zeta \omega_n s+\omega_n^2}$$ Obtain the pole zero map and step response of the 2nd order system and determine the mode of damping in the system. If the ...
SKevinAR18's user avatar
4 votes
2 answers
545 views

Poles of system seem counter intuitive

I have a system with the three poles 0+8i, 0-8i, and -0.5. When I input a sinusoidal signal, this is the output: Based on the poles, -0.5 is in the left side of the plane so it should be stable. +8i ...
newbie's user avatar
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3 answers
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How do I derive a transfer function of RC circuit including ESR?

I am reading through some lecture and wondering how to derive transfer function when input source is a current source. Can you anyone give me an advice? Thank you
igor's user avatar
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Continuous Time LTI system stability confusion

It is understood that if ROC of the transfer function of a system doesn’t not contain the \$j\omega\$ axis, then the system is unstable. I also know that if the transfer function of the system has any ...
McSuperbX1's user avatar
0 votes
2 answers
111 views

Determining poles and zeros from those of interconnected two-port networks

My goal is to find the poles and zeros of a large network. Specifically a cascade connection of series C's and shunt L's. One could also consider this a CL Ladder circuit. I am interested in ...
asgarth's user avatar
0 votes
2 answers
294 views

Pole location in simple RC circuit

Could someone help me to find the pole expression in the circuit shared below? The expression of the zero is: (Wz=-1/(R8*C2)), but I'm unable to find the pole location due to R8 (without it I would be ...
AnalogMan's user avatar
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1 answer
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Why a series resistor on the output of an op amp would add a zero

Capacitance on the output of an op amp I was looking at this post and I totally understand except the answer said that the series resistance at the output of the op amp is creating a pole and a zero. ...
Wu Eric's user avatar
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What is Byrnes-Isidori form and why is it usefu?

I was reading a paper about analysis of "Zero Dynamics" of a system but they initially converted the state-space model of the system into a "Byrnes-Isidori normal" form. What is ...
aakarsh's user avatar
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What is Zero Dynamics of a system?

I am trying to understand Zero Dynamic attack(ZDA) on a system, but for that I am confused what exactly is ‘’’Zero dynamics of a system’’’. Is it the state of a system at one of its zeroes or ...
aakarsh's user avatar
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1 answer
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Pole Splitting - Why does output pole not also decrease to lower frequency?

Miller's Theorem Application This is a follow-on question. I have a question regarding pole Splitting. If there was an existing capacitor on node E and on node A, I often see that books say that ...
AlfroJang80's user avatar
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Poles of a second-order closed-loop transfer function

I was reading about the effects of poles and zeroes of a second-order transfer function on its time response and it was said that the real part of the pole of transfer function gives the exponential ...
Sam1470's user avatar
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2 answers
290 views

Bode plot from s-domain singularities

Considering any transfer function H(s), is there any meaningful way to use the s-variable singularities to obtain the f-variable ones to trace the Bode plot? I know direct conversion with \$ s = \...
concerned middle age man's user avatar
1 vote
1 answer
557 views

Relation of Eigenvalues with poles and zeros

I have modeled a system showing the following properties. It has some negative eigenvalues. All poles are placed in a left-half plane. Some zeros are right-half plane. In my knowledge, eigenvalues ...
Yan's user avatar
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1 answer
173 views

Unclear relationship between s domain and frequency domain

I’m trying to brush up on some things I left behind, let’s consider the usual RC parallel circuit, I’m trying to get the bode plot of its impedance. The equivalent impedance is obviously \$ Z = \frac{...
ale_zec's user avatar
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1 answer
116 views

Stability in a double-pole system

A simple low-pass RC circuit is a single pole system and it's stable. In a DC-DC buck converter, we have a conjugate double pole due to the LC filter. Yet, we employ several techniques such as D-CAP ...
Arshiya's user avatar
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3 votes
4 answers
2k views

Why is a capacitor to ground a low frequency pole, instead of a high frequency zero?

In building my intuition about how analog circuits relate to the s-plane, I am wondering why a pole emerges from a capacitor to ground, for example in a simple lowpass filter consisting of only a ...
anyfoo's user avatar
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0 answers
680 views

Pole zero cancellation amplifier circuit

I've built the circuit which looks like this: At the input comes pulses from 30 volts biased photodiode. After adding parallel 4.7 nF and 10kΩ for pole zero cancellation everything works fine, in AC ...
Paweł Chmolewski's user avatar
5 votes
1 answer
2k views

Identify zeroes of circuit by inspection

In a circuit, we can approximate the poles of the transfer function by calculating the AC Resistance and Capacitance at every node. For every node we get a pole so a change of slope in the Bode plot ...
Alema416's user avatar
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1 answer
882 views

Magnitude of a Transfer Function

So I have an unknown circuit with a plot like this: From this I have to determine a likely transfer function model. It looks to me like there is a pole at 50 rad/sec and a zero at 1500 rad/sec, with ...
Ryan Geisen's user avatar
0 votes
1 answer
158 views

Finding the position of a zero without doing explicit calculations

I have the following circuit: It is a fully-differential amplifier. Since the circuit is symmetrical with respect to the vertical axis, only the right portion (for example) can be studied to find ...
Stefanino's user avatar
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6 votes
5 answers
461 views

Exciting an RC Circuit at its TRUE Pole on the Sigma (Real) Axis in the Left-Half Plane

Yeah, you probably are reading this question and thinking I'm one of those engineers who hasn't learned about the s-plane. I can assure you I'm not! I know that the transfer function of an RC circuit (...
banjoeschmoe's user avatar
0 votes
3 answers
320 views

Breakpoints, poles and zeros of a band reject filter

I'm reading a manual about op. amps. (op amps for everyone) which, at a certain point, speaks about poles and zeros. I'm trying to understand the following example: Given the following band reject ...
Martel's user avatar
  • 1,259
-1 votes
1 answer
88 views

Root Locus of the system

How can I plot root locus like these system can you help me?
Hans Muller's user avatar
3 votes
1 answer
442 views

Complex conjugate poles for OTA unity gain

So I am designing an OTA, exactly like Miller OTA, but I tried to see the behaviour without Miller compensation. The circuit diagram is shown below As seen there is no compensation network, neither ...
RAN's user avatar
  • 309
3 votes
6 answers
2k views

Why is frequency not measured in db in bode's plot?

While drawing bode's graph paper where Y axis is gain given in db while the X axis is frequency given in absolute value but scale used is log. I think the reason for log scale on X axis is to increase ...
SUNITA GUPTA's user avatar
0 votes
1 answer
491 views

Break in and break away point

Consider the open loop transfer function of \$\frac K{s^3+2s^2+2s}\$. In a negative feedback system, that has three poles \$0, -1+i ,-1-i\$. Is there any break-in or break-away point because only one ...
Camila's voice's user avatar
0 votes
2 answers
284 views

Do we analyze real poles the same way you analyze complex conjugate poles?

So I am analyzing a filter and I came up with the following expression for the transfer function in its canonical form: $$\frac{987654 + 4666.67 s + 1. s^2}{2.48519 \times10^8 + 52316.2 s + s^2}$$ ...
Granger Obliviate's user avatar
1 vote
2 answers
128 views

Zeroes of transfer function

In 'Franklin F kuo's book it is written that "The zeroes of transmission of the ladder occur at the poles of The series branch impendences or at the zeroes of shunt branch impendences" here ...
user215805's user avatar
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0 votes
3 answers
3k views

Zeros and poles in the following bode plot

According to the definition, zeros are the frequencies which make transfer function to be zero, and poles are the frequencies which make transfer function to be infinity. The definition can be seen ...
Audra Jacot's user avatar
1 vote
0 answers
65 views

How can you change the precision of the pole zero ouput in HSpice?

I'm extracting the poles and zeroes of a circuit using HSpice, but I need it to be as accurate as possible. HSpice is only giving me 6 decimal places, and I'm wondering if it would be possible to ...
torpdeo's user avatar
  • 21
1 vote
1 answer
795 views

Centroid from calculated root locus is different to the one from MATLAB

Hi all hope someone can help me here. My problem involves the transfer function G(s)=(s+32.8)/((s+2.8)(s+5)(s+27.8) ) As far as im concerned the centroid is ...
dorudrakky's user avatar
10 votes
1 answer
4k views

What does a Bode plot represent and what is a pole and zero of a Bode plot?

I studied Bode plots and the author of my book is somehow relating zeros of transfer functions to Bode plots. What is the relation between zeros or poles of a Bode plot and transfer function? We ...
Ali Aqdas's user avatar
  • 125
1 vote
1 answer
7k views

Poles from Bode plot

How does one deduct the number of poles from a Bode plot? Is it further possible to decide where the poles are? I have not understood this concept even though there is so much focus on Bode plots in ...
Lamar's user avatar
  • 45
1 vote
2 answers
2k views

Find the Zero of a simple circuit

I would like to better understand how to find the zero of the transfer function of a circuit by inspection using fast analytical techniques. simulate this circuit – Schematic created using ...
Dealer's user avatar
  • 13
4 votes
3 answers
9k views

Switching frequency and controller's crossover frequency in DC-DC converters

In the context of control loop stability of DC-DC Converters, A switch mode power supply is essentially a sampled-data system, therefore the theoretical maximum bandwidth is one half the switching ...
user avatar
1 vote
1 answer
376 views

Bode plots and electrical circuits - zeroes and poles

I would like to understand electrically with little math (transfer function) involved about poles and zeroes in a control system (feedback in a DC-DC buck converter, to be specific). I have been told ...
user avatar
1 vote
3 answers
493 views

Stability - Driving a Capacitive Load

I know I have been asked not to provide video links and ask questions. But I have no proper guide/mentor or anyone who can provide me better answers other than users in this site. So, please pardon ...
user avatar
0 votes
1 answer
914 views

Effect of zeroes in stability

I thought earlier that zeros have no direct effect on stability but when I read the below article of Wikipedia where it said under the heading "Effect of poles and zeros " It says that adding zeros ...
DSP_CS's user avatar
  • 1,219
0 votes
1 answer
209 views

Sketch a Bode Plot for the Loop Gain of the circuit

Below I have the transfer function, but I am still uncertain about Bode plots. How do I know the slope, how do I know where the zeros of the function are?
Hector's user avatar
  • 403
0 votes
1 answer
541 views

How can I prove that for any control system root locus plot starts from poles of OLTF and ends at zeroes of OLTF?

simulate this circuit – Schematic created using CircuitLab G(s)H(s)=N/D T(s)=KN/(D+KN) Proof: ] But For K=0 T=0 For K=infinity T=infinity then how can K=0 {condition where forward path ...
SUNITA GUPTA's user avatar
0 votes
0 answers
296 views

Questions on Bode Plot and Nyquist Plot

Bode Plot 1) Why the gain plot |G(jw)| drops and then increases for conjugate zeroes ? 2) Why the gain plot |G(jw)| increases and then drops for conjugate poles ? Nyqust Plot 3) For Figure 9-18(B),...
kevin's user avatar
  • 535
3 votes
2 answers
613 views

spike in the Full bridge SMPS

I have a full bridge SMPS and I am measuring the voltage across the output´s diodes on the secondary side. As you can see the voltage spike changes by changing the output current, for example at zero ...
Nakh0d4's user avatar
  • 113
0 votes
1 answer
174 views

Stability Criteria of Type 3 Digital PLL

I suppose we can derive the stability criteria based on poles of open-loop transfer function of F(z) in expression (4.11). However, the pole analysis does not help in deriving the stability criteria ...
kevin998x's user avatar
  • 413
1 vote
2 answers
627 views

Low Pass Filter Wrong Pole Location

I wanted to understand and derive an equation of simple low pass filter that shows the location of pole in frequency response graph (Bode plot). So, here is the derivation: $$V_{OUT}=\frac{V_{IN}*...
lucenzo97's user avatar
  • 2,442
0 votes
1 answer
103 views

Low Entropy derivation of Transfer Functions with OP AMPS

I was recently low entropy equations of passive filters, and came across the Extra Element Theorem and all of its uses. I was wondering if the there is something similar for OP AMP circuits/ Active ...
Preetham Reddy's user avatar
0 votes
1 answer
1k views

Root locus for an open loop transfer function?

The function, rlocus(), in MATLAB is used for closed loop system roots for variation in gain K. However, I am curious if there is a similar function for variation ...
Mostafa Mekawy's user avatar
2 votes
2 answers
1k views

Meaning of the "pole" of a transfer function with time delay

I learned in basic control theory that we can determine the stability of an LTI system by the signs of the real part of the poles of its transfer function \$H(s)=\frac{N(s)}{D(s)}\$. For a rational ...
George C's user avatar
  • 183
1 vote
2 answers
2k views

Poles and Zeros of Two Pole Compensation

I am known with the basics of what poles and zeros of transfer function are and how to determine them, but I certainly don't know how to apply such poles and zeros to the gain curve, which describes ...
lucenzo97's user avatar
  • 2,442
0 votes
3 answers
517 views

No zeros, yet still affecting stability?

As far as im aware Poles affect the stability of a transfer function primarily, and is defined whether they stay within the unit circuit & are on the left side of the pole-zero plot. Zeros have no ...
user avatar
0 votes
1 answer
64 views

Experiment to identify of all the poles from the input output data irrespective of pole zero cancellation?

The pole zero cancellation reduces the order of the system. As a result we can't identify all the poles from the input output data. Given, input output data, can I devise an experiment such that I can ...
vedasri godavarthi's user avatar