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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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Find transfer function and step function for this circuit

Can someone help me to find the transfer function of this circuit (i want to have the tension through the capacitor I think) and the step response in order to get the voltage in the function of the ...
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67 views

tracking error state space, linear control example

I am trying to understand a detail from an example, from the control textbook Slotine and Li (1991) "Applied Nonlinear Control", Prentice-Hall, Example 6.4, pag. 220. A linear system is given: $$\...
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65 views

Designing PID to reject load disturbances of dead-time process

I am using the PID Tuner for the PID Controller Block in Simulink. I am particularly interested in the output disturbance BODE plot. I am trying to achieve an acceptable output disturbance with the ...
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637 views

Deriving PI controller transfer function when input is reversed

I'm developing the compensator for the linear DC Bench Power Supply I'm designing. As I've come to deriving the transfer function for the op amp-based compensator, I realize I've been depending on a ...
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72 views

CANopen SYNC object and synchronous window length

In CANopen specification there is an object called Communication Cycle Priod [1006h]. This is the time interval between two consecutive SYNC objects. There is also another object called Synchronous ...
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88 views

design a modular system, choosing bus and backplane

Our team has developed a several controller boards for our current Projects for over three years. With little modifications we have used this board in several projects so far. Its structure is as ...
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35 views

Finding the memory polynomial model coefficients

I want to build a memory polynomial model given that I know the corresponding output signals for known input signals. What is the easiest way to find the coefficients of it? And how do we take the ...
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25 views

Designing a CCM Boost PFC rectifier circuit

I am working on designing a CCM Boost PFC rectifier circuit, supplying up to 2.8kW at 400Vdc nominal, while taking 230Vac, 50Hz controlled via negative feedback in the average current control mode. I ...
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47 views

Control issues: Simulation of PMSM in FOC Model

I have been designing a model of an already existing actuator which is run in FOC with an SVPWM inverter and cascade speed-current control. Losses like eddy current or hysteresis, or switching losses ...
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49 views

What is the meaning of the first gain in the block diagram?

I have do design a circuit based on the block diagram below. I know how to design the PID part but I don't understand what the K=2 is. For the PID I have made the following:
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57 views

Nonlinear system general representation

I am fairly new with non linear systems. I understand that a general representation of a nonlinear system is: $$ \dot{x} = f(x) + g(x)\cdot u $$ where \$x\$ is the state variable, and \$u\$ the input....
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How to calculate the value of compensation network of DC DC converter

I am designing a circuit to boost voltage from 5V to 9V.I came across various kind of Switch regulator from TI. I don't know how to calculate the R-C value of compensation network. Thanks in Advance.
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174 views

Closed-loop systems - discrepancy between Simulink and Arduino

I am trying to figure out how to reproduce closed-loop systems in Arduino that were designed initially designed in Simulink. Take the following closed-loop system with unity feedback and gain: Where ...
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Circuit diagram of the Full Order Observer

I am a novice in the field of control system and electronics per se. I am trying to implement the Full-order observer in an electrical circuit made of R, C and Op-amps. I understand the block ...
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151 views

LQR for inverted pendulum

I'm studying an optimal control for the inverted pendulum in the following figure the state and the output of the system are defined as $$x=\begin{bmatrix}r & \theta & \dot{r} & \dot{\...
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73 views

PI controller to drive a constant power source

So I have a load that needs constant power to maintain a specific temperature and this load changes over time. For this, I am using the design outlined in the following article: https://www....
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188 views

PD control (PID without I) - Homework help

I've been given a system - x" = bx′ + kx + ru and I've been asked to rewrite it in the canonical form x' = AX + BU. I've got -- ...
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Block diagram feedback control of cart and inverted pendulum

I am making a block diagram for a classic control theory problem; the inverted pendulum on a moving cart. I want to model two types of disturbances on the system; force on the cart and another force ...
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29 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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33 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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17 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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22 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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103 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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121 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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62 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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32 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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137 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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48 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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41 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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24 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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33 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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62 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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22 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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65 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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300 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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53 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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148 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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67 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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57 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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65 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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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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57 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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115 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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45 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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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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72 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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262 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 ...