# 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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### BIBO stability and Asymptotic stability

I have difficulty solving these two exercises: Exercise 1 Consider the system described by the transfer function $$P(s)=(s-1)/(s+1)^2$$ Design a controller so that the feedback controlled system is ...
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### 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 ...
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### Help decoding weird Id current behavior at high motor speeds!

I have implemented a motor controller which employs FOC to control the speed of a PMSM motor, similar to this: Normally Id reference (IDref) is set to 0 and only the Iq reference (IQref) (quadrature ...
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### What signal to use for identifying control-to-output TF of resonant converter? Is it required to have a transfer function when PI tuner is present?

I have a resonant converter (DC-AC) built on Simulink and I want to find out its control to output (current) transfer function using the system Identification toolbox in MATLAB/Simulink. I have three ...
1 vote
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### In this transfer function equation, is "20" inside the log() the value that was factored out?

In the given problem, we're supposed to find the gain of the transfer function. The solution provides an equation to the problem. The question I have is, for that particular equation, is the value ...
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### Using Integral of Error as Input in Fuzzy Logic Controllers

I'm currently working on a control system for a doubly fed induction generator (DFIG) as part of my thesis project. Traditionally, fuzzy logic controllers (FLCs) use the error (e) and the derivative ...
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### How to calculate Rslope for MAX25611

There isn't much information for calculating Rslope. THe only equation that includes Rslope is Vslope, which is being differentiated. Unsure how to approach this, as I seem to require it for my ...
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### Why is inverse of a transfer function not really a correct way to think while doing circuit analysis?

When we try to predict the circuit behaviour using transfer function, everything works fine in forward direction (Vin to Vout). But if we try to predict the circuit behaviour in reverse direction (...
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### How does "pass band" relate to the response speed of a digital controller?

I am reading the page 318 of "Digital Control Systems: Identification, Design and Implementation" by I. D. Landau and G. Zito, which talks about the choice of desired performances in digital ...
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### Routh criterion for stability

I am doing exercises in which using Routh's table I find the sign of the poles of a function and then determine its stability. For example, studying s^3-4s^2+s+6=0 with Routh's table you find two ...
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### First order system transfer function

Suppose we have the transfer function written in the picture. The circuit from which this transfer function was derived is a classic RC circuit with an Rload (Rload parallel to the capacitor). I have ...
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### Analog Compensator Vs digital Compensator in Power electronics Converter

I was working on designing a feedback compensator for my buck converter. I decided to use the compensator circuit in the feedback and give its output to Arduino which gives the duty cycle as shown ...
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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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### 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 ...
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### 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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### 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 ...
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### 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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### 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 ...
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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 ...
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### 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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### 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 ...
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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 ...
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### 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?
1 vote
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### 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 ...
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### 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 ...
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### 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?
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### 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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### 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 ...
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### 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 ...
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### 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 ...
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### 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 ...
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### 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 ...
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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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### Are Bridge AC to DC Rectifiers using thyristors still considered Linear Rectifiers considering their switching mechanism of action?

While I tried not to make the title confusing, Whether if the question is about Non-Linear/Linear PSUs or just the Rectifier circuits, I believe This one covers both matters. Considering that the ...
1 vote
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### Zero vs pole of a circuit

Intuitively, what makes a resistor/capacitor combination become a pole or zero in around an amplifier system? My intuition always says that a zero is formed when there is a direct path through a ...
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### What are the advantages of implementing an optimization algorithm for PID tuning compared to classical methods?

I am new to studying algorithms, so I am wondering what are the advantages of using an algorithm such as Genetic Algorithm or PSO to tune the PID parameters compared to classical methods, such as ...
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### Buck Converter Step Response Analysis

I am new to power electronics and control, so I am confused with the following. I have a simulation of a Buck converter, and PID controller in Simulink. I did some trial and error tuning, and I have ...
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### Control system with nested loop

I have a question about a loop inside another one like this: What is the constraint to ensure stability? Does the bandwidth need to be faster for the inner one?
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### Connecting every other DIN terminal to each other

I am building a custom panel. My output DIN terminals are supposed to be in this order: Power, Ground, Power, Ground, Power, Ground.... I cannot find a proper way (jumpers or bars) to connect them. ...
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### Relation between controllers and compensators?

https://www.control.utoronto.ca/people/profs/kwong/ece311/2018/lecture_notes/lead_or_lag.pdf Please check the above link especially the lines shown highlighted in attached snapshot. So can we say that ...
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### Output Stage Double LC Filter of a buck converter

I am trying to design a double LC output filter on a buck topology. I want to set the bandwidth of my converter to be at 20 kHz. The swithing frequency would be equal to 250 kHz. The first resonnance ...
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### 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 ...
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### How to reduce gain margin to finite value?

I am trying to observe bode plots for a system but i am getting infite gain margin. I know that positive phase margin and/or positive gain margin represent stable system while negative phase margin ...
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### Unit of integral windup reset parameter?

What is the unit of integral windup reset parameter? Is it the same as the unit of time, seconds?
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### Can the graphoanalytic method of synthesizing controllers by Bode plots (by lead and lag elements) be used for non-minimal-phase systems? If not, why?

I remember being taught in our control engineering classes that one of the advantages of synthesizing controllers using root locus over synthesizing controllers using Bode plots is that RLOC can be ...
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### SIMPLIS - Buck CM from C. Basso Website

I took from the website of Christophe Basso a simplis simulation. I have some questions about it to be sure to understand it. Here is the schematic of the simulation: It is a current mode buck ...
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### Gimbal platform control using a DC motor

I need to make a gimbal stabilization platform for a project. I should be able to control both speed and position (a servo or stepper motor are not suitable for this reason.) There are DC motors with ...
The equation is: $G=\dfrac{k(s+4)}{(s+1)(s^2+6s+13)}$ How would I calculate the gain (k) required for a settling time of 1 s? By using $ts=\dfrac{4}{(ωζk)}$ the closest value I got was ...