Estimate first order transfer function from Phase at Frequency
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What command would I use to estimate a first order transfer function (TF), from a known Phase at Frequency?
The TF is known order (first-order), known gain of 1 at DC, and monotically decreasing phase (ie only passes through a phase value once).
Let's say the given data point is a phase P at freq F (say, -45 deg at 100 Hz).
How would I programatically find the TF that includes this datapoint?
The TF should be unique, once the TF order, DC gain, monotically decreasing phase is assumed, and P&F are defined.
I looked at tfest using iddata, and other similar commands, but non are exactly what I'm looking for...
Paul on 23 Mar 2022
Based on the problem statement can you write the symbolic form of a first order transfer function, H(s)? How many free parameters does H(s) have? Given that angle(H(1j*(2*pi*100)) = -45*pi/180 (example data from the Question), can you solve for the free parameter(s)? Don't make the problem more complicated than it needs to be.