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6
votes
1answer
97 views

How does the second order time constant affect circuit behavior?

I learned that the transfer function of a second order circuit can be expressed in the following standard way: $$ \frac{K}{\tau_s^2 s^2 + 2 \zeta \tau_s s + 1} $$ Where: \$K\$ is the gain \$\zeta\$ ...
1
vote
0answers
30 views

Transient Response and s-plane root location

A second-order system has the closed-loop transfer function T(s)=Y(s)/R(s). The system specifications for a unit step input is as follows: I managed to solve the problem until this step. But I am ...
1
vote
0answers
28 views

Transfer function using signal flow graph problem

Determine the system transfer function for the following signal-flow diagram of figure I have shown my attempt of solving this problem. Can anyone tell me whether I did this problem properly?
0
votes
1answer
43 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 ...
0
votes
0answers
25 views

Transfer Function For Electronic Pressure Regulator and a Step input

I was wondering if I could have some help in how to determine the transfer function for a Proportional Pressure Regulator. (VEAB-L-26-D7-Q4-V1-1R1). I have done a basic instrumentation and control ...
0
votes
1answer
52 views

Find the total gain from the following Signal Flow Graph

The signal flow graph for a system is given in the figure. Find resultant gain.
0
votes
1answer
32 views

Characteristics from transfer function

All! I am trying to figure out characteristics of a second order system The system is (for example) And its characteristics for an unit step input are I want to solve this equation by hand and ...
1
vote
2answers
135 views

Why am I getting non-sinusoidal output for sinusoidal input in a mass-spring system?

A mass-spring system is represented by the following transfer function $$ H(s) = \frac{s^{2} + 0.1s + 10}{s^{4} + 0.2s^{3} + 20s^{2}} $$ For a sinusoidal input I am getting a non-sinusoidal output, ...
0
votes
1answer
45 views

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 ...
2
votes
2answers
135 views

Is the transfer function for the given RC network right?

For the question I arrived at the following answer (I have assumed V1 btw) Is my solution right? I just have a big doubt if whether I can use the voltage division rule at point A when there is an RC ...
3
votes
1answer
110 views

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 ...
2
votes
1answer
60 views

How do I calculate this inverse Laplace Transform

I have this transfer function and input, and I have to manually calculate what the systems response will be. The transfer function is: and the input is: I multiplied the two functions and used ...
0
votes
0answers
36 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 ...
2
votes
2answers
87 views

Meaning of transfer function in s evaluated at a complex number

From the pole-zero plot, you can compute the system frequency response by assuming a locus of test points along the \$j\omega\$ axis. Figure from: http://web.mit.edu/2.14/www/Handouts/PoleZero.pdf \...
2
votes
1answer
295 views

Reducing the order of transfer function while maintaining same response

Scenario: I have been going through Ogata Modern Control Engineering book and working through several exercises to improve my understanding of basic control principles. I came across the following ...
10
votes
1answer
555 views

Finding the Transfer Function of Spring Mass Damper System

I have been going through Ogata Modern Control Engineering book and working through several exercises to improve my understanding of basic control principles. I came across the following example which ...
0
votes
1answer
85 views

Calculating the transfer function of this op-amp circuit

The first op-amp is a differential, second one is a follower and third one is a second order low pass filter. I've been struggling with the low pass and the final output of the circuit and I am not ...
3
votes
1answer
219 views

Degenerate circuit concept and its theoretical and practical implications

I came across with the term "degenerate circuit" when I was studying solving linear differential equations with Laplace transform. I have learned that a system is called degenerate when the ...
-1
votes
1answer
52 views

Relation between dash pot and spring in forces when extracting a transfer function [closed]

If a spring load some energy and use it for opposing other forces, and a dash pot has a friction, physically the both shouldn't have the same force-displacement equation ? In most of dash pots, we ...
0
votes
2answers
85 views

How to I go from generalized Transfer Function to generalized State Space, and back?

Question: How can I transform a generalized Transfer Function a generalized state space form (preferable with the First Companion Form), and back? For the sake of presenting an example, let us say ...
1
vote
2answers
129 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 ...
3
votes
1answer
263 views

PID tuning without plant model

My aim is to keep temperature constant at a certain place. I don't have a mathematical model of the plant. Currently, PID is used with some fixed Kp, Ki, and Kd, and I want to optimize these ...
0
votes
4answers
1k views

Approximation of second order system, by step response

I am trying to aproximate a transfer function of a system. The system is a linear actuator, connected to a feedback potentiometer. The following figure is a step respons, with 24 V as input, and the ...
1
vote
2answers
464 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}}...
1
vote
1answer
98 views

How can I find the transfer function of a quadcopter's motor? [duplicate]

I want a model of a quadcopter and, thus, I need the transfer function of the motor. Any suggestions on how to do it will be very helpful for me. Thanks.
0
votes
0answers
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 ...
0
votes
2answers
77 views

Can we think of an impedance or an admittance as a case for a transfer function?

We define impedance as the complex ratio of potential (voltage) over flow (current). We can describe it as how much a system "impedes" the flow according to a potential applied to it. But wouldn't it ...
0
votes
1answer
120 views

Definition of minimal phase

Let us consider a linear time-invariant system. The term minimum phase is used for a system that has stable poles and stable zeros. A system is called nonminimal phase if it is not minimum phase. ...
0
votes
1answer
116 views

What to use in finding frequency response : \$G(s) \cdot H(s) \$ or \$ \dfrac{G(s)}{1 + G(s) \cdot H(s)}\$?

While studying frequency response of control systems, all of the sources I'm referring to is considering unity feedback system i. e. H(s) = 1 & drawing Bode plots and polar plots on basis of that. ...
3
votes
5answers
851 views

control systems - how to obtain the transfer function from this block diagram?

I am trying to find the transfer function for this basic block diagram According to the book I am reading I should be able to derive the transfer function (given in the image above) from the block ...
0
votes
1answer
66 views

Any transfer function has the same denominator 1+T

Sometime ago, I came across some theory saying that in a control loop any transfer functions such as ...
0
votes
0answers
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}...
0
votes
1answer
115 views

Compensator for a specific damping ratio ζ

Okay, so I've been given a system to linearize and it gave me this result $$δ\ddot x+δx=δu$$ I tried state-space modeling this and this is what I got: $${\dot x}=Ax+Bu=\begin{bmatrix}0&1\\-1&...
1
vote
1answer
96 views

Identify transfer funtion given step response

This is the system with its step response below. I'm asked to find the transfer function. Note that this is a question from an exam sheet and a computer can't be used. I can say that it has to do ...
0
votes
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 & ...
1
vote
1answer
95 views

Find the transfer function given responses

We have an open loop system with an input u , a transfer function G(s) and an output y. We apply the following inputs $$u_i(t)=\sin(ω_it), i=1,2,...6 $$ and get the following responses These are of ...
0
votes
1answer
107 views

Derivation of the transfer function form with the system type number included

A transfer function is derived from an ODE with the Laplace transform as following... Some times though there is a different form of the transfer function, one that includes the system type number \$...
0
votes
1answer
141 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 ...
0
votes
0answers
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....
3
votes
3answers
7k views

over and critically damped systems settling time

I know that for second order systems the settling time(St) equation is: So my question is, should this same formula be used when the system is over or critically damped? Is it right to use it in that ...
0
votes
0answers
80 views

Should this system be stable?

I'm doing some coursework on control theory and I'm unsure whether I'm getting the right answer for one of the questions: When I go through all the analysis, I get the response $$y(t) = 3U(t)(4-2e^{...
0
votes
1answer
63 views

Getting wrong answer for problem involving transfer functions and Laplace transforms

I need help finding where I have made the error in this problem set by my control systems lecturer. The Question: The output of a linear time invariant system for an input \$r(t)\$ equals \$c(t)\$. ...
0
votes
1answer
399 views

Standard parameters of a second order transfer function with some zeros

We already know that we can derive the parameters \$\omega_{n}\$ and \$\zeta\$ from a second order system which adopts the canonical form: \$ H(s) = K\frac{\omega_n^2}{s^2 + 2\zeta\omega_n s + \...
2
votes
1answer
169 views

Determine whether the system can be stabilized by the control law

I have a controls homework question I am having trouble figuring out where to start. The questions is Determine whether the system can be stabilized by the control law \$u = - {G_1}{x_1} - {G_2}{x_2} ...
0
votes
1answer
269 views

Analysis of Closed Loop Transfer Function

I am trying to understand how to solve a homework problem I have. It states: Analytically show that closed-loop system is stable for all values of K. By looking at the block diagram, I know that this ...
3
votes
2answers
799 views

Finding transfer function of a compensator circuit similar to a type 2 compensator topology

I know how to find transfer functions of op-amp circuits using equations derived from using Kirchhoff's current law (nodal analysis), and normally I don't have any problems solving them. However, I ...
1
vote
2answers
708 views

control systems - state space representation using transfer functions

I am trying to manually get the state space representation of an RLC network. I often end up with a bunch of differential equations that I can't relate to each other. I think it would be easier to ...
2
votes
1answer
257 views

Least Square Fit - Transfer Function

I have here this continuous transfer function: $$\frac{Y(s)}{U(s)} = \frac{s+3}{s^3 + 12 s^2 + 39 s + 28}$$ Passing this tf to discrete domaing like this: ...
0
votes
3answers
2k views

When eqvivalent transfer function of two systems in series is a product of two transfer functions that describe these systems?

In control systems theory when two systems with transfer functions \$ H_1(s)\$ and \$H_2(s)\$ are in series, equivalent transfer function is given as \$H(s)=H_1(s)H_2(s)\$. However if we have two RC ...
1
vote
2answers
392 views

Frequency response of an input with a phase (steady state)

I know that, at steady state, the frequency response can be calculated relatively easily from the transfer function and the frequency of the input. So if we have a system described by the transfer ...