Mercurial > hg > ltpda
diff m-toolbox/classes/+utils/@math/pzmodel2SSMats.m @ 0:f0afece42f48
Import.
author | Daniele Nicolodi <nicolodi@science.unitn.it> |
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date | Wed, 23 Nov 2011 19:22:13 +0100 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/m-toolbox/classes/+utils/@math/pzmodel2SSMats.m Wed Nov 23 19:22:13 2011 +0100 @@ -0,0 +1,64 @@ +function [A,B,C,D] = pzmodel2SSMats(pzm) + if (~numel(pzm)==1) || (~isa(pzm, 'pzmodel')) + error(['function ' mfilename ' only accepts one pzmodel as an input']) + end + + den = 1; + num = 1; + G = pzm.gain; + + % computing the A matrix + for i=1:length(pzm.poles) + if isnan(pzm.poles(i).q) + w0 = pzm.poles(i).f*2*pi ; + den = conv(den,[1 w0]); + G = G * w0; + else + q = pzm.poles(i).q; + w0 = 2*pi*pzm.poles(i).f; + p = [1, 1/q*w0 w0^2]; + den = conv(den,p); + G = G * w0 * w0; + end + end + + % computing the C matrix + for i=1:length(pzm.zeros) + if isnan(pzm.zeros(i).q) + w0 = pzm.zeros(i).f*2*pi ; + num = conv(num,[1 w0]); + G = G / w0; + else + q = pzm.zeros(i).q; + w0 = 2*pi*pzm.zeros(i).f; + p = [1, 1/q*w0 w0^2]; + num = conv(num,p); + G = G / w0 / w0; + end + end + + % setting gain + num = num*G; + + % zero padding TF numerator if degree is smaller than denominator + Nss = length(den)-1; + if length(num)<Nss+1 + num = [zeros(1,Nss+1-length(num)) num]; + end + + % computing the D/C matrix + [q,r] = deconv(num,den); % polynmial division for den = conv(num,q)+r . + if ~length(q)==1 + error('system may be non causal'); + end + + % Allocating matrices + D = q; + A = [zeros(Nss-1,1) eye(Nss-1); fliplr(-den(2:(Nss+1)))]; + B = zeros(Nss,1); + if Nss>0 + B(Nss) = 1; + end + C = fliplr(r(2:(Nss+1))); + +end \ No newline at end of file