Questions tagged [control-system]

A control system regulates the behavior of other devices or systems, usually using a control loop. Examples are a home heating controller using a thermostat, a regulator keeping a drone stable, and industrial control systems used for controlling processes or machines.

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How to get Transfer Function from R to Y?

How to get Transfer Function from R to Y? I can group G2 and G3 up by doing G2/1+G2G3 Correct? Dont really know what to do from there
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1 answer
340 views

Drawing Signal Flow Graph from Bridged-T Network

I am confused about where to place R1. Is it a feed-forward or feedback term? Y1 and Y2 are admittances representing the capacitors.
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1 answer
66 views

The effect of input and output impedance

This picture shows the classical feedback system and this assumption about this system. "the input impedances of both the amplifier and the feedback network are infinite and their output ...
4 votes
2 answers
242 views

Non inverting buck boost transfer function

When considering the compensation of a non inverting buck boost (single inductor), the datasheet considers to take into account the worst transfer function between the buck transfer function and the ...
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1 answer
51 views

Multi-loop systems block reduction techniques

Do I start by multiplying 18/s+3 * 1/s+3 = 18/(s+3)^(2)? Then is it (18/(s+3)^(2))/(1+(18/(s+3)^(2)*4)) = 18 / ((s + 3)^2 * (72 / (s + 3)^2 + 1))?
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1 answer
474 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 ...
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1 answer
728 views

Design of compensator type 2 for current mode control of boost converter

I have designed a boost converter with peak current mode control in PLECS. I have used the method of k factor approach to design the compensator. The Bode plot transfer function of the power stage is ...
1 vote
2 answers
80 views

Proof that two systems are equivalent

I was wondering if someone could help me with the proper answer for this? Below is the question and my solution. I was hoping for partial points but I don't know what can be marked partially correct ...
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Does current mode control for dc/dc conv imply a constant current output?

I am getting very confused, I have read articles about current mode and voltage mode control, and it seems that most converters use current mode control - which seems has two nested control loops. The ...
1 vote
3 answers
368 views

Nichols plot confusion

The transfer function is \$F(p)=10/(p^2+2p+1).\$ Using Wolfram Alpha, the Nichols plot shows that the argument \$\to -\pi\$ when \$\omega \to +\infty\$. However, calculating the argument on paper ...
1 vote
3 answers
125 views

Determining Transfer Function from Block Diagram

I'm doing my homework and need to find a transfer function W_eg (from input g to output e) using given block diagram. The problem is that the output e disappeared. I made a step by step solution how I ...
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 ...
2 votes
1 answer
248 views

Finding the K value for minimum damping coefficient

I have a block diagram, From the diagram, I think the two summing points at the middle of the diagram can be switched, therefore, I got open and close loop transfer function as below: $$ \begin{...
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1 answer
257 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,...
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3 answers
508 views

Output Impedance for Stability Analysis

I was reading this application note from Omicron. Output Impedance for Stability Analysis I was not able to understand how the output impedance is used to measure the phase margin of the DC-DC Control ...
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1 answer
61 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 ...
4 votes
5 answers
1k views

Slew rate, bandwidth and settling time

I have a system which has to be as fast as possible. The system has to sense a current across a shunt. My first idea as I have no experience on this subject would be to take a "current sense ...
3 votes
2 answers
163 views

Kalman filter for estimation of braking resistor temperature

Let's say I have an inverter fed three phase induction motor drive where in the braking phase (when the motor operates in a generator mode) the generated electrical power is dissipated in the braking ...
1 vote
1 answer
87 views

Complex Block Diagram Reduction

I have this Block Diagram and I need to simply it. But I'm still confused and this is my progress currently. I don't know is this correct or not. Maybe someone can help me.
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Wire the ALPS RWM SCS Speed control Switch

I recently purchased an ALPS RWM SCS Speed Control switch board. This will speed control an ALPS Standard Rod Wrapped 110 VAC motor . The board has. B500k POT, capacitor, resistor and TiAC components ...
-3 votes
1 answer
101 views

Consider the following circuit system (RLC Circuit, R and L parallel then series with C), please determine the transfer function

i'm trying to figure this out, but i'm still confused. Can anyone help me? Thank you This is what i've done. Am i in the correct path?
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1 answer
54 views

Second-order RLC transfer function

I solved the exercise in the picture with Laplace: Not being familiar with systems theory yet, I do not understand one thing (circled in pink in the picture.) The transfer function found with the ...
4 votes
1 answer
340 views

Power converter: Why is audio susceptibility named so?

In power converter, audio susceptibility refers to line-to-output transfer function. ( Line= Input voltage ) [ Ref : Fundamentals of Power electronics: Erickson ] Why is it named so- "audio-...
1 vote
2 answers
149 views

Sampling gain effect in buck converter

I recently learned that there is a phenomena called sampling gain effect in dc-dc converter and I am struggling to understand what this phenomena really is. Could someone enlighten me? And I have seen ...
2 votes
1 answer
561 views

Boost converter design with TL5001 PWM controller

I am trying to design and build a boost converter with the TI TL5001 PWM controller, to convert 9 VDC to 400 VDC to supply a Geiger-Müller tube. This is my first boost converter with an analog ...
4 votes
2 answers
541 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 ...
0 votes
2 answers
4k views

Confusion calculating steady-state error in MATLAB

I am trying to use MATLAB to calculate a steady-state error. I have found a weblink that gives code for finding the steady-state error, but when I use that code I get a value of the steady-error ...
0 votes
0 answers
24 views

How to determine the values of transportation delay blocks and step block in block diagram?

What are the values of transportation delay blocks and step block in this block diagram to get Motor speed Graph for KI = 1.0s−1, KP = 0.3 and time delay = 0.046?
1 vote
1 answer
436 views

What is the bandwidth of a type 1 or higher system?

Since bandwidth is defined as the frequency at which the gain drops below -3dB compared to the low-frequency gain, how can i determine the bandwidth of a type 1 system where low-frequency gain is ...
2 votes
2 answers
4k views

Relationship between root locus pole and percent overshoot and gain in MATLAB

I have a peculiar confusion regarding the relationship between a closed-loop pole on a root locus plot and its gain and percent overshoot. I have found a point on the root locus plot that MATLAB ...
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43 views

Converting system of s-domain equations to block diagram (control system designing)

Hi I am new to control system and block diagrams. I have the following question: I just want to ask if my interpretation of how the block diagram should be designed is correct? (see below)
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59 views

Design a PID controller for a MG=1.5

Consider the following system: I need to design a PID controller with a gain margin of 1.5 for the disturbance P(s). In order to have a certain gain margin I need to find the critical gain Ku, so ...
-1 votes
1 answer
1k views

Calculating discrete-time transfer function

I have a continuous function \begin{equation}G_p(s) = {1\over s^2} \end{equation} which I am trying to combine with a zero order hold (with a sampling time of 1 second) to produce a discrete function....
1 vote
1 answer
282 views

Transfer Function of Controlled Capacitor Discharge

I've been having some difficulties trying to design a closed loop, current pulse control system that controls a capacitor's discharge to an inductive load. The basic operating principle is that there ...
2 votes
1 answer
165 views

Stability test for Feedback Amplifiers

Does the following simple test deduced from Nyquist criterion also apply to positive feedback case or it needs to be modified? If magnitude of loop gain i.e. |T (jω)| > 1 at the frequency where ...
2 votes
2 answers
842 views

Nyquist stability criterion for positive feedback

it is known that the stability of a system with negative feedback may be analyzed through the Nyquist stability criterion, which is based on observing the number of turns around the point (-1;0) in ...
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1 answer
270 views

Digital Root Locus in Scilab

I have the following digital plant: \$G(z)=\cfrac{z+1}{(z-0.3)(z-1)}\$ I want to use root locus to design a system with: (1) position error=0; (2) overshoot \$\leq 10\%\$ (3) settling time \$\...
2 votes
3 answers
9k views

Designing a PI controller for a first order system

I have a first order plant: $$ b/(s + a) $$ That I'm trying to control using a PI controller: $$ \frac{(K_ps + K_I)}{s} $$ I closed the loop with unity feedback to get this transfer function: $$...
2 votes
1 answer
504 views

Determine the impulse response of the following discrete system

I'm not sure how they got the answer (provided below) for the following discrete system y[n] = x[n]- 2x[n-2]+ x[n-3]- 3x[n-4] the answer is given as .... h[n] = [1 0 -2 1 -3] why is this? any help ...
1 vote
1 answer
87 views

What is the differential equation that relates input and output voltage of a circuit?

I have the transfer function of this circuit, which is I am being asked to find the differential equation that represents the relationship between input and output voltage. Since the transfer ...
1 vote
1 answer
287 views

Doubt about application of stability criteria

I have only seen systems with this transfer function treated in stability criteria with this general form: $$\frac{KG(s)}{1\pm KG(s)}$$ so the $$\lvert H(s)\rvert =1$$ Is it possible to apply criteria ...
1 vote
3 answers
617 views

How do I find the transfer function of a PID that uses a single op-amp?

How does one go about finding the transfer function of the following op-amp PID? I have tried to convert each component of the circuit into its transfer function representations, e.g., making each ...
1 vote
1 answer
350 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 ...
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35 views

Is it necessary to calculate the flux for sensorless control of a PMSM?

For sensorless control of a PMSM, I require just the position estimation to replace the encoder. Further parameters such as speed can be calculated from position. However, in many places I notice the ...
0 votes
1 answer
217 views

Static and dynamic behaviour of a sensor

On a slide, i read that i can model the static behaviour of a sensor as: whereas it's dynamic behaviour as: Is correct to say that the static behaviour is the steady-state behaviour, while the ...
2 votes
3 answers
716 views

Negative phase margin and misconception of the point of instability in negative feedback control loops

Prelude Consider a canonical block diagram of a negative feedback loop with gain \$K\$, plant transfer function \$G(s)\$ and feedback transfer function \$H(s)\$: - Regardless of what functions K, G, ...
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2 answers
379 views

Component connected in series in a block diagram of a control system

I am given the following block diagram of a control system (I think it also applies to electrical circuits as well with linear components. Correct me if I'm wrong). My textbook says that C(s) is ...
2 votes
1 answer
370 views

Transfer function of a heating system

I wanted to design a small temperature-regulated DC heater for the sake of educational purposes in the field of control theory. The idea is to heat up a resistive element through a buck converter of ...
2 votes
2 answers
1k views

Transfer function of phase change controlled with capacitance

We have an RLC series circuit with sinusoidal voltage source of frequency \$\omega\$. The normal transfer function of current to voltage is: $$ G(s) = \frac{I(s)}{V(s)} = \frac{1}{R+s L+ \frac{1}{s C}}...
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Gate driver selection for digitally controlled via PFM, LLC resonant half bridge charger

I am designing a LLC half bridge charger. I am going to use a microcontroller to control the switching frequency, with feedback from the output to smoothly control the switching requency. I don't ...

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