How to find time constants from given 2+ order transfer function?

I have a transfer function let us take for e.g k/(100*s^2+20*s+1).In this TF I want to access the denominator as k/(10*s+1)(10*s+1) in such a way that algorithm will return tau1=10,tau2=10.How to get it?

Answer 1

[David Wilson]

If you just want to display the transfer function in time-constant form, you can do the following:

s = tf('s'); 
k = 45; % anyhting 
G = k/(100*s^2+20*s+1) % expanded polynomial form

[z,p,k] = zpkdata(G)
G1 = zpk(z,p,k,'DisplayFormat','timeconstant')

If you want access to the time constants, use damp.m

damp(G)
[w, zeta, p] = damp(G)
tau = 1./w 

I',m assuming you have a stable TF. Check with isstable.