# Questions tagged [pole-zeroplot]

The tag has no usage guidance.

71 questions
Filter by
Sorted by
Tagged with
1 vote
94 views

### 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 ...
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 ...
• 75
1 vote
160 views

### 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
• 25
55 views

### 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 ...
• 151
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 ...
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 ...
• 324
226 views

### 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. ...
• 33
1 vote
98 views

### 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 ...
• 111
72 views

### 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 ...
• 111
1 vote
91 views

### 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 ...
• 3,145
410 views

### 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 ...
• 57
1 vote
290 views

• 35
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 ...
• 17
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 ...
• 173
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 ...
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 ...
• 117
1 vote
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 ...
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 ...
• 616
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 (...
• 159
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 ...
• 1,259
88 views

### Root Locus of the system

How can I plot root locus like these system can you help me?
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 ...
• 309
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 ...
• 465
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 ...
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: $$\frac{987654 + 4666.67 s + 1. s^2}{2.48519 \times10^8 + 52316.2 s + s^2}$$ ...
• 1,431
1 vote
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 ...
• 1,184
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 ...
1 vote
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 ...
• 21
1 vote
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 ...
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 ...
• 125
1 vote
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 ...
• 45
1 vote
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 ...
• 13
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 ...
1 vote
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 ...
1 vote
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 ...
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 ...
• 1,219
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?
• 403
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 ...
• 465
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),...
• 535
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 ...
• 113
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 ...
• 413
1 vote
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}*...
• 2,442
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 ...
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 ...
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 ...
• 183
1 vote
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 ...
• 2,442