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Disturbance error transfer function

I was trying to solve some examples from the book Feedback Control of Dynamic Systems by Franklin, Powell & Emami-Naemi. (Seventh Edition, Pages 195 & 204) about PID controllers. The problem is...

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Determining the zeros and poles of a common emitter amplifier

I want to determine the transfer function of the base common emitter amplifier. I don't want to neglect the impedances of the capacitors in the calculations because I want to determine the zeros and...

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How should I apply FACT technique on this circuit?

I am learning the fast analytical circuit technique. How could I calculate the pole in the circuit below? I also calculated in the "traditional" way.I was able to determine the zero and the static...

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Obtain the overall Transfer Function of each of the following block diagrams...

Help me guys to answer this question!

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Cascading op-amps

I am trying to figure out the gain of the following circuit:What I have done so far is looking at each amplifier independently:$$U_3=-R_9/R_8=-4$$$$U_4=R_{10}+R_{11}/R_{10}=3$$$$V_o=-R_9/R_8 \times...

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RLC bandpass filter transfer function

I've been tasked with finding the transfer function of the RLC filter shown below. I converted to the S-domain and used the voltage divider rule to find the output, and came up with:$$H(s) =...

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Frequency domain design of a PI controller for a first order system with...

Let's say I have following first order system with transport delay$$G(s) = \frac{4563}{s + 64.77}\cdot e^{-0.000455\cdot s}$$My goal is to design in the frequency domain a PI controller in the...

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Control system transfer function

I tried to find the transfer function F(s) = C(s)/R(s) through block manipulation and through Mason's Formula but the results are not matching. Where is the mistake?

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How can I calculate the transfer function of a low-pass Sallen–Key filter?

I was looking at the following circuit. AFAIK, this is a low-pass Sallen–Key filter, with a VCVS instead of the op-amp.I started to work out the transfer function, but somehow I got lost at a certain...

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Deriving transfer function from Bode Diagram

From the Bode Diagram which is also a minimum phase system,I have tried to figure out the transfer function it could have been like this,$$ \begin{align*} L(s) = \dfrac{1}{s}\cdot\dfrac{2}{s +...

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Assign Bode plots to Nyquist diagrams

How do I assign the following Bode plots to their corresponding Nyquist diagram?Can i tell the number of poles of the transfer function of the nyquist plot, by looking at w→infinity (from which of the...

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Second-order Butterworth gain calculation at cut-off frequency

The Butterworth second-order low-pass filter has the following transfer function:$$\frac{\omega_c^2}{s^2+\sqrt2s\omega_c+\omega_c^2}$$We know that at \$s=\omega_c\$, the filter's attenuation is -3 dB,...

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How to determine the transform function of certain bode plots?

The answer to this question above is C, yet I only know that the anti-resonance and resonance are located at 8 and 11 Hz respectively.Another example below to which the answer is B.I appreciate any...

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Second-order Band-Pass Filter Gain Confusion

If I derive the equation for a bandpass filter (in this case, critically damped) from the RLC transfer function, I get a different result than I would get otherwise by combining the transfer functions...

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Closed loop transfer function of two cascaded systems [closed]

I am trying to understand a problem for my research. I don't have access to teachers or professors and couldn't find the solution to the problem in the available textbook (just studying it out of...

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Derive S-Parameter Matrices for Interconnected Multi-Port Networks of...

Question(s)Is the math below correct?If not, then what should be changed?If you know of an authoritative reference for this derivation, then please post it in an answer, or in the...

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Realize transfer function with Op-Amps

I have this transfer function:$$H(s) = 15 \cdot \frac{(1k)^2}{s^2+500 s+(1k)^2} \cdot \frac{s+40}{s+300}$$I separated it into two stages, diving the \$k=15\$ so that both transfer functions have...

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If I have an operational amplifier with a finite open loop gain, can I...

I'm talking about this op-amp. In the solution it finds an expression for the transfer function using a virtual short circuit without considering the open loop gain \$ A_{vol} \$ at all. I wanted to...

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How to find the transfer function of current H(w) = I_out(w)/I_in(w)?

How do you find the transfer function $$H(\omega)=\frac {I_\text{out}(\omega)}{I_\text{in}(\omega)}$$ of a circuit like the below?simulate this circuit– Schematic created using CircuitLabI understand...

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Stability Criteria of Type 3 Digital PLL

I suppose we can derive the stability criteria based on poles of open-loop transfer function of F(z) in expression (4.11). However, the pole analysis does not help in deriving the stability criteria at...

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