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1

That's a simple process, where $y(k)=u(k-3)$, as the $z^{-1}$ blocks just perform a delay by one sample. $x_1(k)$, $x_2(k)$ and $x_3(k)$ are just arbitrary names. In other words: output will be exactly like input, only delayed by three samples.


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See the image (found in this article). Inject a signal into the loop somewhere (I show it below as going between the controller and the plant). Then measure the input to the plant and the output from the plant. Note that the image is a bit confusing -- it assumes that the normal command to the loop is 0 or some constant. It would be better to actually ...


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You are suggesting an open-loop controller. For some applications such as washing machines and bread toasters, an open-loop controller gives sufficient performance. A closed-loop controller such as a PID controller uses feedback to determine the current measurement error from the target measurement, and attempt to reduce the error (in your case the target ...


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What's wrong with what I just described? There's no PID control involved, no error term. Ok, even if you knew all this (which you practically never do), then, when do you switch off the heating? The heater's going to be hotter than the target temperature of the room (otherwise, you'd never be able to reach that temperature), so if you keep it on for as long ...


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or the transfer function from the input 𝑢 to the output, how can I do this ? Is that not what your $G$ is? If you want to find the transfer function from just one element of $u$ to the output, then either delete the columns of $B$ that don't pertain to that element of $u$ and get your transfer function, or just look at the column of the transfer function ...


0

It appears to have -40 dB/decade roll-off in magnitude starting at 1 rad/sec and transitioning to -120 dB/decade roll-off in magnitude at approximately 300 rad/sec (this suggests you have 2 dominant poles that begin to be dominant when f is at 1 rad/sec and 4 additional poles that begin to contribute at f> 300 rad/sec since each pole would contribute -20 dB/...


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