Questions tagged [step-response]

For questions about the step response of an electrical system, which is the response of the system in the time domain to a unit step function input. Important characteristics of the step response include rise/fall time, overshoot, ringing, and settling time. Consider using in conjunction with related tags such as "rise-time", "control-theory", etc., if applicable.

For questions about the step response of an electrical system, which is the response of the system in the time domain to a unit step function input. Important characteristics of the step response include rise/fall time, overshoot, ringing, and settling time. Consider using in conjunction with related tags such as , , etc., if applicable.

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Why do we use step response?

We tend to identify systems more often by using the step response. Why? Especially when the impulse response is directly related to the transfer function?
howland12
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Is there an English word for the output response of a non-minimum phase system?

I've noticed in some French language control courses they have a word for the initial part of the response of a non-minimum phase system. They say it has "un départ malin". I looked up malin and it means different things in English, for…
Bill
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After being open for long time, the switch in circuit closes at \$t=0\$. Determine \$I_1(t)\$ for \$t>0\$, Steady State Current and Initial Current

I am seeking guidance on this Assignment [Homework] Problem regarding RL circuits because me and my study group are getting two different answers and we don't know why. Question : After being open for a long time, the switch in the circuit closes…
Etlewisg
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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 cases?
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Finding the output time response of a transfer function with a step response

The question is finding the output time response of the transfer function below. I solved that it is an underdamped response. The step response is 1/s. $$T(s)=\frac{20}{s^{2}+6s+144}$$ According to the answer key, the answer…
romeoPH
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Equivalent Inductor Equation (Antoniou Gyrator Proof)

I've been working on a proof for University and I've been able to understand most of what I was asked, but I'm having trouble understanding why is it that the equivalent inductor in an Antoniou Gyrator has inductance L = (R1*R3*R5*C4)/R2, referring…
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optimal low pass by trial and error?

After opening an old webcam I found a lens with a magnetic socket, which is used for autofocus. A coil moves the lens in and out to adjust sharpness. I recently mounted that feature onto the raspberry pi camera module. Now I want to control the…
Anton Alice
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How can a transfer function with only real poles show an overshoot in the step response?

I am trying to simulate the circuit below on SIMSCAPE, and its behavior is different in the simulation and in the real world. The simulation shows an overshoot, while the measurements I made do not - which makes sense since it only has real poles in…
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Unexpected output from LC circuit

I am trying to get back into some electrical engineering basics, and had a quick question regarding an unexpected output I am seeing. I am trying to learn about RLC circuits again, and wanted to build a quick circuits with some parts that I had at…
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Step response of voltage inverter and RC filter homework question

This is my solution so far: Vth would simply be the output of the inverting op amp which is Vth = -(Rf/Ri)Vi Rth would simply be R2 || R3. simulate this circuit – Schematic created using CircuitLab And now we have a simple RC circuit with a DC…
user263783
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How to estimate settling time of an overdamped system?

I've been trying to figure out how to estimate the settling time of a second order system in response to a step input of magnitude 5. The systems transfer function is $$G(s) = \frac{1}{(s+2)(s+4)}$$ and I have already determined the time response…
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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 time? I have a comparator (the block to the right…
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Understanding digital filters, specifically their effects on time domain information, how to preserve the waveform of a signal being filtered?

According to Steven W. Smith, in his book: The Scientist and Engineer's Guide to Digital Signal Processing, when designing a digital filter, "Good performance in the time domain results in poor performance in the frequency domain, and vice versa",…
Albukhari
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Derivative of a waveform

I am self studying linear circuits and I came to a very basic problem. The problem: $$y(t) = e^{-t} u(t)$$ where \$u(t)\$ is the step function. Calculate the derivative of \$y(t)^{\prime}\$. My take is: $$ \begin{align} y(t)^{\prime} & =\left(…
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How to prove property of transfer function for causal LTI system

For causal linear time-invariant systems the degree of denominator must be larger or equal than the degree of the denominator. How can this be proven rigorously?
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