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I'm trying to gain a better understanding on poles and zeros. Seems everywhere i read it says the poles and zeros can tell you the system response, characteristic and you can do lots with it from filter design to controls. Its a broad area but was hoping someone can provide further information to enhance my understanding like.

Some questions:-

-Why do you always want the poles to be on the left hand side of the complex plane? Do you always want poles to be on the left hand side of the plane?

-How can you design filters from the poles/zeros. Is there a direct relationship between resistors/caps/inductors to poles zeros? Lets say i have an equation for my transfer function , can you pick values for the resistors/inductors/caps to make the n-order filter?

-How do you tell the stability/poles zeros of a control system? I don't see how you can come up with an equation to look at the poles/zeros of a system.

-The closer to a pole means higher gain/amplitude while closer to a zero means lower gain/amplitude.

-A reactive component like caps/inductors produces 1 pole. So if you want a 5 pole system you can get away with 'T' like figure (combine with inductor/resistor) with 2 extra caps on each side of the 'T', for a total of 5 caps. But how do you find the values based on your desired cutoff frequency?

Thanks

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# Understanding poles and zeros

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