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You also need to plot the pole zero for the open loop system as well and then you can say that for step response, the P-Z moved from point A to point B. That makes more sense to analyse the system in terms of P-Z.sismxad

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I reviewed "Modeling and High Performance Control of Electric Machinery" by Chiasson pg 44-46 and I believe your state equations are not correct. I'm not going to go through the derivation unless your really want it but $\lambda_f(i_f)=L_fi_f$. This field inductance term is missing from your state equations. \begin{equation} L\frac{di}{dt}=-Ri+...

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At this moment, on the second bullet, is there a reason not to consider if time-varying (shouldn't it be $i_f(t)$ or was it just a typo)? I would consider it a typo. I've tried to put together the differential equations in the following way (considering if, $i_a$ and $\omega_m$ as state variables respectively): If you are going to allow $i_f$ and \...

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Please edit the question and correct if I understand $w$ is the angular speed, so the correct symbol is $\omega$ or $\Omega$. Moving on, I do understand that the time constant on the field circuit is much much smaller than on the armature circuit I would say it is right the opposite. Therefore it does make sense to consider that the field current is ...

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To give an easy-to-understand intuitive explanation, what happens in SMPS circuits, Boost constant current mode topologies specifically: When the load increases, output voltage drops and the controller increases the duty cycle to compensate but at first that makes the output voltage drop even more!. It'll recover (relatively) soon but the controller freaks ...

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It is incorrect to say that the loop-gain must be stable in order for the complete, closed loop system, to be stable. Note: in the system $F = \frac{G}{1+GH}$, loop gain is $GH$, not $1+GH$, as you stated. It may be true that instability in the path $GH$ could cause closed-loop instability (for example, if $H$ itself is an ill-behaved entity), ...

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The answer of your question can be easily found in any authentic book of Control Systems. Nevertheless, there is a direct expression to determine the angle of breakaway/in which is: theta = (pi)/n where n is the total number of root locus branches approaching/leaving the point(breakaway/in point). If there are 2 branches, let's say leaving from the breakaway ...

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The circuit is designed such that the microcontroller GPIO controlling the heater circuit must be pulsing in order for the capacitor to couple a signal through to the NPN transistor in order for it to turn on the p-chan mosfet. This way if the microcontroller locks up for whatever reason, the GPIO won't pulse and the NPN transistor circuit will timeout and ...

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