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# Tag Info

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

Sums of harmonic cosines The Hann window is a sum of a rectangular function and a truncated cosine. As an impulse response it has the qualities you asked for: Figure 1. Hann window as impulse ...
• 13.5k
Accepted

### How to determine the step response given a transfer function?

The short answer is that the step response is the inverse Laplace Transform of $\frac{1}{s}G(s)$. Here are some hints that should help in being able to solve the problem. Since it is likely a ...
• 52.1k
Accepted

### Transfer function with blackbox modelling is too slow compared to real expectation

In your original code you defined the sampling interval to be $T_s=0.05$ (idd1 = iddata(ddout, ddin, 0.05);). Yet, according to the data file, the time step between ...
• 90.4k

As explained in Tendero's answer everything you've calculated is correct. Matlab is supposed to complain because the system with transfer function $$H(s)=1-sT\tag{1}$$ has (assuming causality) a ...
• 90.4k
Accepted

There is no misunderstanding at all. The Padé approximant you found is correct. The "problem" is that you chose $M$ and $N$ such that the transfer function you get to approximate the delay is ...
• 5,020

### Which step response matches the system transfer function

Open loop gain at DC is -3dB or .707 and 0 degrees. We don’t know the forward gain but assuming it is the open loop gain, the closed loop gain would be $.707/(1+.707)= .4148$, matching the first plot. ...
• 52.1k
Accepted

### Which step response matches the system transfer function

The final value of the step response is the DC gain of the closed-loop transfer function, which is generally different from the open-loop DC gain. Assuming unity gain feedback, the feed-forward ...
• 90.4k
Accepted

### Step response of a differentiating system

If your system is an ideal differentiator with input-output relation $$y(t)=\frac{dx(t)}{dt}\tag{1}$$ then its transfer function is $$H(s)=\frac{Y(s)}{X(s)}=s\tag{2}$$ From the equation in your ...
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### What is a "jump response" of a filter?

It's a bad translation of step response, i.e., the filter's response to a unit step $u[n]$ at the input. Note that the step response is the convolution of the unit step with the filter's impulse ...
• 90.4k
Accepted

### how to find the inverse response of a system

A general approach would be to take the Laplace Transform of the equation and put it in form of a transfer function: $$H(s) = \frac{Y(s)}{X(s)}$$ And then invert that and solve for the unit step ...
• 52.1k
Accepted

### Confusion regarding stability & step response?

An ideal integrator is not BIBO-stable, i.e., there are bounded input signals which result in an unbounded output. A step at the input is such a signal. Clearly, changing the sign of the transfer ...
• 90.4k
Accepted

### Find transfer function from root locus and step response diagram?

The transfer function is $$H(s)=\frac{K(s - 4)(s + 5)}{(s + 3)(s + 6)(s + 10)}=\frac{K(s^2 + s - 20)}{s^3 + 19s^2 + 108s + 180}$$ So we need to find $K$. The LT of input step is $\frac{3}{s}$. ...
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### When input data into a low pass filter, are the first several data unusable?

You have to judge yourself if for your purposes you need to get rid of the first few output values. The phenomenon you observe is determined by two factors. The first is the delay of the filter (which ...
• 90.4k
Accepted

### How to get Step Response from an Impulse Response in Simulink?

Your system H(s) is continuous $$H(s) = \frac{s}{s+1}$$ Using a discrete impulse does not make a lot of sense. I suspect Simulink added a "zero-order hold" or ZOH block between your discrete ...
• 3,777