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+// Discretizing a tf with delay
+// Exact solution
+// Applicable for a 1st order system
+
+// Ref.: pg.287,Digital Control,Prof.Kannan Moudgalya
+
+// D: Delay
+// TF: e^(-Ds) OR e^(-Ds)
+// ------------ ------------ (gen.)
+// tau*s + 1 tau*s + a
+
+//D = kTs + D' (gen.)
+// G: TF with delay component
+// G1: TF with zero delay
+// Required because G cannot be directly used in Scilab
+// Coefficients are returned for ascending powers of z^-1
+
+function [B,A,k1] = delc2d(G,G1,Ts)
+D = G.iodelay;
+d = coeff(G1('den'));
+ if d(1) == 1
+ tau = d(2);
+ mu = 1;
+ else
+ tau = d(2)/d(1);
+ mu = 1/d(1);
+ end;
+
+k = floor(D/Ts);
+Dpri = D - k*Ts;
+Dis = ((%z*(1 - (exp(-(Ts - Dpri)/tau)) ) )+ (exp(-(Ts - Dpri)/tau) - exp(-Ts/tau) ))/ ((%z^(k+1))*(%z - exp(-Ts/tau)))
+Dis1 = Dis*mu;
+disp('Warning: Exact discretization of first order system only');
+k1 = degree(Dis1('den')) - degree(Dis1('num'));
+B = coeff(Dis1('num'));
+A = coeff(Dis1('den'));
+B = flip(B);
+A = flip(A);
+endfunction;
+
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