PID controller is reportedly widely built and used in control systems engineering for industrial applications. The PID-controller has a transfer function as: (Kd*s^2+Kp*s+Ki)/s.

Therefore, it seems such a transfer function box, could be built in terms of an electronic circuit component.

Meanwhile, the order of an observer-based controller is higher than a PID-controller, as for example you see in the snap-shot from Ogata control engineering book, attached. Since Ogata is a practical engineering text-book, therefore I guess such an observer-based controller could be practically built as an electronic circuit and then embedded as a controller.

Moreover, we usually build transfer function blocks, simply in Matlab Simulink. But is it possible, practical, simple, and convenient to build such blocks as an integrated electronic element in a circuit, while they are of high order?

My main question:

There is a controller, with a transfer-function:

H_controller(s)=N(s)/D(s),

Where:

N(s)=b0*s^m+b1*s^(m-1)+b2*s^(m-2)+…+bm,

And:

D(s)=a0*s^n+a1*s^(n-1)+a2*s^(n-2)+…+an.

Moreover, m=10, n=10, or, n=11.

The digested question:

Is it possible, and practical to design an electronic circuitry for a box, with the transfer function: H_box=H_controller(s)=N(s)/D(s)?

Warning: I have no experience to build a real electronic circuitry, and my question is only the possibility and practicality of designing a circuit for such a transfer function box. Do not mind about the performance of the controller or any other stability concern with regard to that. Only the possibility and practicality of designing an electronic box which has an equivalent transfer function: H_box=H_controller(s)=N(s)/D(s).

The box is in feed-forward path.

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