x=[10.6;10.1;9;6.8;6.2;7.9;9.1;10.7;11.9;10.3;9.6;9.8;9.7;9.6;9.4;9.2;8.1;7.8];gm1(x);测试数据%二次拟合预测GM(1,1)模型functiongmcal=gm1(x)sizexd2=size(x,2);%求数组长度&n9|.^!i(x9O2R)G"z(^8`%m6z3}2Gk=0;1y;S+E:X.M*ffory1=xk=k+1;:a'm6E3v7~,[&Xifk>1x1(k)=x1(k-1)+x(k);%累加生成:H!S'M+J!P2G/}'Hz1(k-1)=-0.5*(x1(k)+x1(k-1));%z1维数减1，用于计算Byn1(k-1)=x(k);else,n7u#n7W+x.F(c3W1x:ix1(k)=x(k);endend.T(d7v/Q'c5L(CM9}z:c.y1i-`.VP*h1k+o*{3i7a%x1,z1,k,yn16_*O/?!s"u1t'h$H2A;b-W1p%C3E8p4D0dsizez1=size(z1,2);;C8[&[,\6@,f%n%size(yn1);)v#F2[0e:g2g&Fz2=z1';0I_3E*D"{3Z&Dz3=ones(1,sizez1)';1j.K.F'A'V#{$C*O)C0i%P,pYN=yn1';%转置4h:L6@-H*U/K$~%YN3T;m4v#?,j2U4pB=[z2z3];au0=inv(B'*B)*B'*YN;*d'B:i/E#`5n1Zau=au0';:M$v%R7P0X-K%p*\%B,au0,aut`4J7[:K)T:@2e(|afor=au(1);+?*R#O*y#J)^*Pufor=au(2);*v/Z(w8N&W5D-E#Y6Z8Pua=au(2)./au(1);%afor,ufor,ua1s%d0g!o0t(X5r%输出预测的au和u/a的值7@)Q4T(i6w6N+M3R8v{!H/Kconstant1=x(1)-ua;;n.?*J&y"J;m5G)Eafor1=-afor;8v)^!A9B5?9k'v"@x1t1='x1(t+1)';estr='exp';.c8r$S1p*|;n,h3vtstr='t';/u6z5n6B'Cleftbra='(';rightbra=')';1D"h7I#R9j'z;c4p!w%constant1,afor1,x1t1,estr,tstr,leftbra,rightbra,D#E0dL2M/@+xstrcat(x1t1,'=',num2str(constant1),estr,leftbra,num2str(afor1),tstr,rightbra,'+',leftbra,num2str(ua),rightbra)"n%K&e'C7X$h6Y%输出时间响应方程%******************************************************%二次拟合2c,x7a"`1s(U1x7S4i*Y+j0H6i$^6[k2=0;fory2=x1k2=k2+1;ifk2>kelse;_5G/Z#O1E1?)e;Sze1(k2)=exp(-(k2-1)*afor);endend%ze12t6].R+o#}/x-S0j%Z"w2y.P8@;a#M;L(Q-Asizeze1=size(ze1,2);z4=ones(1,sizeze1)';G=[ze1'z4];X1=x1';)[9};h"O"~au20=inv(G'*G)*G'*X1;2x9M:R,N8Lau2=au20';0t"d8q1E.d%z4,X1,G,au20"G6A#b)k'd$b0?0_.@)@6r7y3jAval=au2(1);Bval=au2(2);%Aval,Bval%输出预测的A,B的值$\#z/M/r;]4sstrcat(x1t1,'=',num2str(Aval),estr,leftbra,num2str(afor1),tstr,