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Questions tagged [step-response]

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1answer
25 views

Sensor rise time compared to experimental step input rise time

I have a dynamic calibration system. With it, I am applying a experimental step input to a pressure sensor. The goal is to measure the step response of the sensor and use it to calculate the frequency ...
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2answers
59 views

How can I convert a step response that is described by the sum of two exponents to an IIR filter analytically?

If a system has the following step response: $$\begin{align} y(t) &= 1 - \Big(A e^{−t/T_1} + (1-A) e^{−t/T_2}\Big) \\ &= 1 - A e^{−t/T_1} - (1-A) e^{−t/T_2} \\ \end{align}$$ and I know the ...
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1answer
169 views

IIR filter design fitting step response

I have access to the step response of a system and I want to find its poles and zeros without knowing the order of the system. Consider an example of a step response of the system shown in the ...
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3answers
149 views

Why use transfer functions than differential equations?

I have some simple questions regarding DSP and Control Systems, but found no simple answers. I just need simple and easy to understand answers, not complex answers with huge maths. Why we use ...
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2answers
42 views

unit step signal as sum of impulses from MIT OCW video

From MIT's OCW on Signals and Systems by A. Oppenheim, at 4:30 mark https://www.youtube.com/watch?v=jGk3w1b7UXQ&index=3&list=PLLNp7XoiSLQYygYw8Mzt763zZCQdzCZcd He said that by forming the sum ...
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1answer
43 views

impulse response of a system from its step response;confusion

If the step response of a system is given as $$c(t)=(10e^{-5t}-2e^{-10t}+1)u(t)$$ then its impulse response is _______? My Approach: we know: $$h(t)= \frac {d}{dt} c(t)$$ Process(1): $$h(t)= \{ ...
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1answer
206 views

Step response given impulse response $h = e^{-|t|}$

I was given the above homework problem and I know how the step response is achieved, but I'm not sure how to set up the integrals in order to evaluate the problem. I've attached my work, but it is ...
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1answer
431 views

Find step response for LTI system represented by the following impulse response?

(i) $ h[n]=\left(\dfrac{1}{3}\right)^nu[n]+\left(-\dfrac{1}{3}\right)^nu[-n-1]$ here's how i tried to solve : since we know, step response = running sum of impulse response i.e, $$s[n]=\sum_{k=-\...
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2answers
504 views

Pade Approximation of dead time

For the time delay $e^{-sT}$ I shall find the Pade Approximation for $M = 0$ and $N = 1$. $f(s) = \sum_i^{\infty} a_is^i \approx \dfrac{\sum_{n=0}^{N} b_is^i}{\sum_{m=0}^{M} c_is^i}$ $e^{-sT} = \...
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1answer
58 views

How to determine the poles from a graph

From my knowledge of stability, I understand that if the function approaches a finite number then the system will be stable. Thus if a system is stable its poles will be on the left of the $j\omega$-...
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1answer
261 views

Relating transfer functions with step responses

Relate the transfer function to its' corresponding step response. First, I tried setting up the poles and zeros of the transfer functions. This helped a bit since I know that $G_A (s)$, $G_B(s)$ and $...
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1answer
294 views

FIR filter reverse engineering from step response

I am working on a reverse engineering problem - I am trying to reconstruct a filter. I have: The step response of the system. (I could calculate the impulse response by derivating) I know: The ...
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1answer
1k views

How do I calculate the step response of a discrete-time system?

I am given the impulse response $$h[n]=2\left (\frac{1}{2} \right )^n\sigma [n]-\delta [n]$$ where $\sigma$ is the unit step function and $\delta$ is the unit impulse function. I know that $$a[n]=\...
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3answers
216 views

Is there a linear filter whose step response is an S-curve?

Is there a linear filter whose step-response (or ramp-response) is an S-curve? I think the properties I'm looking for here are (1) time-reversal symmetry, and (2) at least a continuous first ...
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1answer
94 views

Overshoot computations not matching

Take the following transfer function of a 3rd order system: $$H(s)=\dfrac{2.302~s+0.3548}{s^3+0.739~s^2+3.223~s+0.3548}$$ with poles: ...
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2answers
276 views

LTI system with Laplace transform

Given the input $$x(t)=u(t)$$ and the corresponding output signal measured as $$y(t)= 2 e^{-3t} u(t)$$ determine the impulse response $h(t)$. This what have done so far: $$ h(t)= \mathscr{L}^{-1} \...
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1answer
171 views

Step response of a differentiating system

Consider I can find the step response of a system with the following method: We can easily find the step input of a system from its transfer function. Given a system with input $x(t)$, output $y(t)$ ...
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1answer
1k views

Find transfer function from root locus and step response diagram?

I am given the response of a step of magnitude of 3 and the root locus and I have to find the transfer function of the system. The function I find gives me the step response(magnitude of 3 again) of ...
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0answers
56 views

identifying overshoots in given state space system with step inputs

Suppose I have the following state space system: $$ \dot{x}(t) = Ax(t) + Bu, \quad y(t) = Lx(t), \quad x(0) = x_0 $$ where $A$, $B$ and $L$ are real matrices, $u$ is a constant real vector (so that ...
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1answer
88 views

How can one know the polynome equation based on the output of a system?

I came across this situation in my textbook: However I have no clue about how you can (starting from the stepresponse on the left), get the polynome equation on the right. Could someone please ...
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2answers
175 views

Impulse response of a certain system

I know that generally the impulse response of a system is the output when input is an impulse. It is also the differentiation of a step response. So if we have a system described by thi differential ...
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0answers
32 views

How to determine load cell response to arbitrary temperature changes with known step response(s)

We have a loadcell, the output of which is (naturally) temperature dependent. Under static load conditions, we have observed a dynamic response to temperature changes. Therefore, we did a step ...
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115 views

Step response for a real unknown system

In the plot below the author declares that he conducted unit step tests on each of a system's inputs individually, by increasing the step's amplitude by 5% and then 10%. Then he declares that he did ...
3
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1answer
444 views

When input data into a low pass filter, are the first several data unusable?

For example, I want to feed a DC into a low pass filter. The the filter's first several output will not have the same DC value I want. Does it mean that I need to dispose first several results? How ...