Nichols plot confusion
The transfer function is \$F(p)=10/(p^2+2p+1).\$Using Wolfram Alpha, the Nichols plot shows that the argument \$\to -\pi\$ when \$\omega \to +\infty\$.However, calculating the argument on paper...
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4th order transfer function
I have a 4th order transfer function. Given transfer function is below.If given transfer function had been 2nd order transfer function, it would easily be factorization of transfer function like:How...
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How to find transfer function from a graph
I need help to find the transfer function of the system from this input/output graph:
View ArticleBreak in and break away point
Consider the open loop transfer function of \$\frac K{s^3+2s^2+2s}\$.In a negative feedback system, that has three poles \$0, -1+i ,-1-i\$.Is there any break-in or break-away point because only one...
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Transfer Function of Differential opamp with common mode voltage
When we consider the relationship between Vout and Vin of the differential amplifier, we connect one of its inputs each time to the ground to ignore that input voltage in the calculation, in order to...
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Common mode voltage with configurations of Opamp
I am reading this article (https://www.analog.com/media/en/training-seminars/design-handbooks/designers-guide-instrument-amps-complete.pdf) in order to understand more how traditional instrumentation...
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Why is each time constant in this transfer function equal to "open circuit"...
From this lecture notes, the open circuit time constant approximation:How to prove the yellow part? The lecture note mentioned Richard Adler at MIT did prove this but I could not able to find his proof...
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Transfer function of an op-amp circuit with inverting feedback and dual input
Given the below circuit containing two ideal op-amps, how can I find the transfer function? I am confused by the \$-K\$ op-amp. Typically we need to find a transfer function like $$V_0 = f(v_1,v_2)$$
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Impulse response of an RL circuit
I've got homework in the Signals & Systems class I'm taking, and I'm trying to find the impulse response to this circuit whose transfer function I've found. In the class we've done practice...
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How to determine the step response given a transfer function?
I would like to know how to draw the step response given a transfer function. For example, given \$G(s)=\frac{(1-\frac{s}{3})}{{(\frac{s}{0.1}+1)(\frac{s}{100}+1)^2}}\cdot 10\$ a transfer function, I...
View ArticleAllowable process variation for non minimum phase plant
Scenario (plant model subject to process variations)Consider a plant \$P(s)\$ in series with a controller \$D(s)\$ with a negative feedback path around it, where the closed loop is given by the...
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Parallel RC circuit differential equation for a mechanical engineer
For a mechanical engineering course in controls, I was asked toWrite the differential equation, state equation, and transfer function for this circuitThat's the full text of the problem, and the...
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Which \$\frac{V_{out}} {V_x}\$ is correct here? Mine or the author of the book?
The following is from the book Design of Analog CMOS Integrated Circuit, Page 177."Determine the transfer function of the circuit shown in Fig. 6.9(a) using (a) direct analysis and (b)...
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How are equations (transfer functions) and the uncertainties for sensors found?
Does anyone have a good: book / link / resource which describes from the ground up how to find an equation / transfer function and the accompanying uncertainties for sensors?I am looking for references...
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should we consider \$R_{out}\$ for \$\omega_{out}\$ in transfer function?
The following is from the book Design of Analog CMOS Integrated Circuit, Page 180, Example 6.5compute the transfer function of the common-gate stage.$$\omega_{in} = \left[(C_{GS} + C_{SB}) (R_S...
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What's wrong with my FET transfer function?
The following is from the book Design of Analog CMOS Integrated Circuit, page 207.Find the transfer function of the circuit in Fig. 6.47(a):Suppose the voltage at node A is \$V_x\$.with the use of KCL...
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Transfer function of phase change controlled with capacitance
We have an RLC series circuit with sinusoidal voltage source of frequency \$\omega\$. The normal transfer function of current to voltage is:$$ G(s) = \frac{I(s)}{V(s)} = \frac{1}{R+s L+ \frac{1}{s...
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Transfer function of a heating system
I wanted to design a small temperature-regulated DC heater for the sake of educational purposes in the field of control theory.The idea is to heat up a resistive element through a buck converter of...
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Deriving a transfer function from Nyquist plot
I am given a half Nyquist plot and exercise as belowI know how to plot a Nyquist curve for a given transfer function but I have trouble doing it the other way.I stumbled upon this post Deriving...
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Negative phase margin and misconception of the point of instability in...
PreludeConsider a canonical block diagram of a negative feedback loop with gain \$K\$, plant transfer function \$G(s)\$ and feedback transfer function \$H(s)\$: -Regardless of what functions K, G, and...
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