Questions tagged [control-system]

A system that may be electronic circuits or even software that uses control theory (principally differential equations) to control an output by monitoring various aspects of the system under control and varying inputs all towards meeting a defined goal. Some famous examples are controlling a rockets thrust angle to ensure directional control.

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How do I refer the transfer function of a system from its Laplace equivalent?

I have a problem, I know how to analyze circuits in Laplace domain to get the transfer Laplace function. However, I don't know how to translate the answer to "real life" Suppose that I have a ...
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65 views

What is difference between natural response and zero-input response of a system and how to find natural response?

In most books it is said that natural response is another name to zero-input response while in some resources is is mentioned that the classification is based on poles of transfer function and input....
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79 views

Nyquist plot of a time delay open-loop transfer function

As shown in the example 6 of here, the Nyquist plot of a open-loop transfer function that has a delay term in the numerator will encircle the origin several times (in fact, infinitely many times). ...
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49 views

Transfer Function [ the transfer function of the feedback stage? (Optical sensor and the lm2917) ]

I have to make a control system that maintains a constant speed of a small car prototype using a DC Gearmotor regardless of external disturbances such as slopes (small slopes). For the development of ...
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45 views

Calculating input voltage required for a series of capacitors to reach a a certain voltage in a certain time

just had a question regarding a system of capacitors. Its from the EE263 Introduction to Linear Dynamical Systems, Stanford University, 2008 Prof Boyd. If I have the step response and eigenvalues of ...
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20 views

Boost converter load regulation

I am currently building a boost converter with PID control to control the output based on the discharge. The output will be fed into a DC/AC converter which, ideally, will power different loads. As of ...
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27 views

How to treat poles with imaginary part when using root locus angle criteria - what is the angle to use?

Context: In the process of designing a phase-lead compensator for a system, I have used the design requirements to find the ideal locations for my closed-loop (CL) poles, have picked a place for a new ...
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66 views

Confusion of terminology for control systems

I am confused about the following definitions (if there are any): Reference input reference signal setpoint reference I don't understand specifically what they are referring to. Do they refer to ...
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124 views

Optimum number of CANopen nodes in a CAN bus for motor control

I am studying about the CANopen implementation in a motion control work. CANopen is a protocol over tha CANbus. It is seen that, in the CANopen specification, theoretically at most 127 nodes could be ...
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17 views

Reset control systems - Reduced overshoot (Swing)

The following figure shows a Two-step Incremental Sigma Delta/Zoom ADC where the feedback DAC is adjusted based on the result of the coarse conversion. I am interested in the signal that is injected ...
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66 views

Moving summing block before integrator

I wanted to move the summing operation (+10) that I perform before the integrator block as shown below: (MODEL-1) I check in this wikibook page - https://en.wikibooks.org/wiki/Control_Systems/...
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201 views

Design of a lead compensator with root locus in matlab

For the transfer function G(s), I tried to design a lead compensator for the function to have a response to the step with the following specifications: Overshoot= 10%; Ts (2%) = 5s. When I simulate ...
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82 views

Guidelines and design considerations for designing a controller for a grid tie inverter?

I'm working on designing a controller for a grid tied inverter. I'm not able to find a suitable reference or book that might help in this case. What I have understood now is: There must 2 loops (...
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62 views

PI or PID vs Manual Controller design using Control theory

Why should we design a controller manually using Bode plots and control theory instead of using PI or PID controllers and tune them? Or more specifically when should I design a controller and when ...
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35 views

What are some techniques to troubleshoot a second order sigma delta loop?

I have designed a slightly modified second order (3-bit) multi-bit incremental sigma delta modulator (IDSM) in simulink (system level). The SNR that I get is 45dB, which is not as expected. But ...
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119 views

How to plot root loci in z plane

How to plot root loci of loop gain G(z)= k/(z-0.5)(z-0.5)(z-0.5) in z plane?
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159 views

How to use the Root Locus design method to improve the transient response of my system?

By closing the loop, I need to design a controller in the feedforward path to minimise the effects of the two pairs of dominant poles of the 5th order transfer function. Use a pole-zero cancellation ...
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121 views

How do I calculate a PID controller gain for a certain damping coefficient?

I have a third order process and I have to design a PID controller by cancelling out the two most dominant poles of the process. The process transfer function is: The controller is of the form, where ...
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92 views

Steady state error due to disturbance

I was trying to solve a question from the 2004 GATE IN paper, I solved it this way, Now, the book is giving a different solution, I'm pretty sure my way is correct since they pulled the "standard ...
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30 views

Difference in feedback DAC levels between first and higher order Multibit sigma delta modulators

My objective is to understand the difference between first and higher order Multi-bit sigma delta modulators in terms of DAC feedback signals. I have a setup of 3-bit incremental sigma-delta ...
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38 views

What is the meaning of the sensivity, of the open loop transfer function, being -1 regarding the non zero pole?

I have to calculate the sensivity of this transfer function regarding the pole s=-10. I used the formula below, and I got the value of -1 but I do not understand its meaning. I replaced (s+10) with p ...
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68 views

Designing of a PID Controller

First of all, I am new to this Q/A site. If I am doing anything wrong, please forgive me. I am having some trouble solving this problem: Given the system of Figure(1), design a PID controller so that ...
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25 views

Principle and generalization of proportional-resonance controller

simulate this circuit – Schematic created using CircuitLab We can introduce the model of \$u(s)\$ into the controller \$K(s)\$ to realize high accuracy control. \$u(t) = 1\$, i.e. \$u(s) = 1/...
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46 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 ...
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42 views

What's oscillatory instability in the delay differential equations?

Does DDE’s stability depend on forcing term and ODE’s stability does not depend?If yes, then is frequency analysis of stability applicable only to DDE and not ODE? In control systems, we study ...
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176 views

design of compensator type 2 for current mode control of boost converter?

I have designed 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 ...
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2answers
88 views

Help with identifying a transfer function - with neuroscience application

This is a question for you electrical network engineers. The problem has arisen in a neuroscience study I am working on, but I hope to be able to glean some insight from other domains that deal with ...
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71 views

Pole-placement problem

I was following this example of implementing a pole-placement with an Integral controller. Matrices A_star=[-5 -3 0;1 0 0;0 -1 0] B_star=[1;0;0] desired poles -100,-8+i*11,-8-i*11 I know the ...
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367 views

PI Controller with XLSEMI4016 Buck Converter, unstable VFB seen

I have the following circuit set up to control VOUT (labelled SENSE on my Excel test results). Note that the node between REXT, POT, and R_B is called VFB. It goes to the FB pin of the XL4016 chip, ...
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73 views

Control Systems - State equations

I'm starting to learn about the state-space representation and i'm facing some difficulties. Suppose we have a system with connected blocks, like the one below: where Sometimes we want to choose ...
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57 views

Obtaining the analytical expression using the state transformation matrix

I am trying to derive the analytical expression in the box below. T is the state transformation matrix. x_dot=A*x(t) is a second order linear system. A has 2 distinct eigenvalues s1 and s2 and ...
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162 views

Why does the gain and phase margin need to be positive for a stable system?

As far as I understood, phase margin means the amount of phase that needs to be added in order to coincide with 0 db gain and -180 degrees phase. Likewise for the gain margin it means means the amount ...
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48 views

How to derive the Tf of an amplifier from its datasheet?

I am designing a control system, where the forward path has an amplifier in Howland's current pump configuration. I want to derive the TF of the current pump, and also take into consideration the ...
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69 views

Why does applying the complex exponential into an LTI system give the steady state response?

I'm really confused why does applying a complex exponential to an LTI system give the steady state response $$Applied \ \ Signal : e^{jwt} $$ Does applying a signal $$ e^{(\sigma + jw)t}$$ also ...
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58 views

What to do with PI feedback value

I've been studying and trying to implement a PI feedback controller for a BLDC. Right now, just to unit test the code for the PI controller, I'm driving two phases with a PWM signal on a MOSFET ...
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73 views

State Space Model Basics

I have added the problem with its solution. I tried applying Mason's Gain Formula which led me to the same result and it should have as Transfer Function is unique. Is there a shorter way to get ...
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1answer
68 views

What is the mathematical difference between a transfer function and a state transition matrix?

I do know what the difference in meaning is between a transfer function (output over the input) and a state transition matrix $\Phi$ (describes the unforced response of the system). Yet when looking ...
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55 views

Find the gain \$K\$ at a point of given rootlocus?

From the given information i can write the transfer function as $$G(s)=\frac{384}{s(s+4)(s+8)}$$ now get the value of \$K\$ at \$s=-1.5+j1.5\$ which is in root locus the generalised TF can be ...
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61 views

variable factors in Simulimk

In my simulation of Van der Pol equation in matlab, I need to have variable factors the same as shown in following picture but Simulink doesn't accept that. how I can solve this problem?
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129 views

Tips for solving difficult block diagrams?

I've gotten the hang of solving block diagrams, i.e. condensing them to a transfer function. I'm aware that one may be solved in multiple ways. For simple diagrams, it's fairly straightforward to see ...
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46 views

Can a controller consist of a single zero? -Control systems

I'm trying to solve a problem in which the transfer function is this : $$G(s)=\frac{2}{s^2+\frac{s}{3}+1}$$ I'm asked to make a controller to move the poles so that they have damping rato ζ=1. Drawing ...
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56 views

Is the system's pole movable?

Here is the state space representation of the system. $$\dot x=\begin{bmatrix}\dot x_1\\\dot x_2\end{bmatrix}=\begin{bmatrix}0&0\\1&0\end{bmatrix}\begin{bmatrix} x_1\\ x_2\end{bmatrix}+\begin{...
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101 views

Question about the transfer function found from state space model

I'll make up a problem to explain what I'm having trouble with. $$\dot x=\begin{bmatrix}0&1\\-5&-6\end{bmatrix}x+\begin{bmatrix}0\\1\end{bmatrix}u=Ax+Bu\\\\y=\begin{bmatrix}0&1\end{bmatrix}...
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1answer
109 views

Get transfer function from state space

The following system is given and I'm asked to find the transfer function $$\frac{Y(s)}{U(s)}=G(s)$$ $$\bar {\dot x}=\begin{bmatrix} 0 & 1 & 0 & 0 &0 \\0 & 0 & 1 & 0 & ...
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73 views

Design controller to get this response

We have the following closed loop system where a is from 1 to 10 and p from 0 to 1(excluding 1). We want to design controllers H(s) and C(s) so that the step response is inside this area This is ...
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295 views

Calculate K for best settling time?

I'm practising on compensators and the root locus. A very common problem in my textbook is to find the value of a variable for the minimum settling time of the system. I have no trouble drawing the ...
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146 views

Simple current regulator transfer function

I did simple op amp MOSFET current source. It was not working correctly, it had oscillations as per picture, so RC circuit was was added and problem was resolved. What I am wondering is transfer ...
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1answer
89 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....
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4k views

Determining closed loop transfer function from an open loop transfer function

I have an open loop transfer function given by \begin{equation} \frac{(s+3)}{s(s+1)(s+5)} \end{equation} I'm trying to convert it to a closed loop system with a gain of 0.987 and damping ratio of 0....
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33 views

Implement a multimodel control system

I am asking you how would i be able to implement a multimodel system using RC filters.I need a nonlinear model and my teacher told me to use RC filters.By using a RC filter i get a first order system ...