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ate-variable filter for a Butterworth when you can use 1 op-amp either. Loo ks like its been designed by a physicist or some non engineer with a basic electronics knowledge.
R or not it is non standard and daft. Also that state filter is not really a state filter. It is just two first orders in cascade with feedback. A pro per state feedback filter has two integrators with feedback of a defined am ount as per a signal flow graph. It is a filter but not a standard one and pointless. Looks like its been designed by a physicist or student.
I wouldn't built a state filter for a second order low pass full stop. The extra op-amps just generate noise. yes they have advantages because you can swap components easily but these are outweighed by the complexity. A Salen Key or Multiple Feedback will do the job fine. However, in todays w orld, unless it is an anti-aliasing filter (and you need fewer of these to o with Sigma-delta ADCs) then you should go digital wherever possible. Gett ing linear phase is too fiddly in analogue.
The circuit you have is a well known circuit in all the text books and is o ften used a a first example before leading to more complex designs. It is n ot a state-variable filter in the common sense at least. In a state-variabl e filter the states are defined first. In your case I don't even know what the states are though I suppose you can work them out. As for scaling, that 's not a problem either for a few op-amps.