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authorprashantsinalkar2018-02-03 11:01:52 +0530
committerprashantsinalkar2018-02-03 11:01:52 +0530
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+// Pole placement controller using internal model principle, as discussed in Sec. 9.4.
+// 9.8
+
+// function [Rc,Sc,Tc,gamma,phit] = pp_im(B,A,k,phi,Delta)
+// Calculates 2-DOF pole placement controller.
+
+function [Rc,Sc,Tc,gamm] = pp_im(B,A,k,phi,Delta)
+
+// Setting up and solving Aryabhatta identity
+[Ag,Ab] = polsplit3(A); dAb = length(Ab) - 1;
+[Bg,Bb] = polsplit3(B); dBb = length(Bb) - 1;
+
+[zk,dzk] = zpowk(k);
+
+[N,dN] = polmul(Bb,dBb,zk,dzk);
+dDelta = length(Delta)-1;
+[D,dD] = polmul(Ab,dAb,Delta,dDelta);
+dphi = length(phi)-1;
+
+[S1,dS1,R1,dR1] = xdync(N,dN,D,dD,phi,dphi);
+
+// Determination of control law
+Rc = convol(Bg,convol(R1,Delta)); Sc = convol(Ag,S1);
+Tc = Ag; gamm = sum(phi)/sum(Bb);
+endfunction;