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[ÇóÖú] ÇóÖú¡£matlab¹²Ïí²ÎÊýÀàµÄ×Ô¶¨Ò幫ʽÄâºÏÐÞ¸ÄÎÊÌâ ÒÑÓÐ1È˲ÎÓë

Êǹ²Ïí²ÎÊýÀàµÄ×Ô¶¨Ò幫ʽģÄ⣬ĿµÄÊÇÇó5¸öϵÊý£¬y1-x1¶ÔÓ¦q0¹Ì¶¨ÏµÊý£¬y2-x2¶ÔÓ¦q1¹Ì¶¨ÏµÊý£¬ÒÀ´ÎÀàÍÆËĸöϵÊý¡£ÎÒÕâ¸ö´úÂëÊǿ϶¨²»ÐÐѽ- -£¬ÏëÒªÖªµÀÕâ¸öÄܲ»ÄÜÇó°ïæÐ޸쬲¢ÇÒ°ÑÕ⼸¸öÇúÏß»æÖƵ½Ò»ÕÅͼÉÏ£¬Ð»Ð»Ð»Ð»Ð»Ð»

clear
clc
data = [36.287         34.765         38.875         37.683         33.580         27.010         34.720         35.470
42.726         37.060         38.475         42.038         31.388         30.550         33.480         37.460
44.688         38.646         40.391         43.510         30.339         24.934         25.711         29.321
43.517         39.432         41.318         42.936         29.632         26.228         27.102         28.644
44.222         38.646         42.530         41.718         28.211         24.991         27.792         29.638
43.771         40.398         42.454         44.425         27.862         25.291         26.591         27.814]
q0=0;
q1=0.2;
q2=0.35;
q3=0.5;
x1 = data(:,1);
x2 = data(:,2);
x3 = data(:,3);
x4 = data(:,4);
y1 = data(:,5);
y2 = data(:,6);
y3 = data(:,7);
y4 = data(:,8);
f = @(a,b,c,d,e)[a.*x1./(b*q0^3+c*q0^2+d*q0+e);
a.*x2./(b*q1^3+c*q1^2+d*q1+e);
a.*x3./(b*q2^3+c*q2^2+d*q2+e);
a.*x4./(b*q3^3+c*q3^2+d*q3+e)]
[X,RESNORM,RESIDUAL,EXITFLAG,OUTPUT,LAMBDA] = lsqcurvefit(f, [1 1 1 1 1 ], [x1;x2;x3;x4],[y1;y2;y3;y4],[0 0 0 0 0 0],[],[])

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ÖÁ×ðľ³æ (ÎÄ̳¾«Ó¢)

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Â¥Ö÷£¬ÄãÕâ¸öº¯ÊýºÃÏñ¾ÍÊǸöÏßÐÔ·½³Ì£¬f(x)=kx, ÕâÑùÄâºÏ½á¹û¿ÉÄܲ»Ì«ºÃ°¡¡£¶øÇÒ¾ÍËãÓÐ5¸ö²ÎÊýÐèÒªËÆºÏ£¬5¸öÒ²²»ÊÇÏ໥¶ÀÁ¢µÄ¡£
Äã¿´¿´ÏÂÃæµÄÕâ¸ö£ºÆäÖÐ k1=b/a,k2=c/a,k3=d/a,k4=e/a

data = [36.287         34.765         38.875         37.683         33.580         27.010         34.720         35.470
        42.726         37.060         38.475         42.038         31.388         30.550         33.480         37.460
        44.688         38.646         40.391         43.510         30.339         24.934         25.711         29.321
        43.517         39.432         41.318         42.936         29.632         26.228         27.102         28.644
        44.222         38.646         42.530         41.718         28.211         24.991         27.792         29.638
        43.771         40.398         42.454         44.425         27.862         25.291         26.591         27.814]
q0=0;
q1=0.2;
q2=0.35;
q3=0.5;
q=[q0,q1,q2,q3]
Q=[q.^3;q.^2;q;ones(1,4)]
xdata=data(:,1:4)
ydata=data(:,5:8)
f = @(k,x) x./repmat([k(1),k(2),k(3),k(4)]*Q,6,1)
k0=[1 1 1 1]
k = lsqcurvefit(f,k0,xdata,ydata)
f_fit=f(k,xdata)
plot(xdata(:,1),ydata(:,1),'o',xdata(:,1),f_fit(:,1),...
    xdata(:,2),ydata(:,2),'*',xdata(:,2),f_fit(:,2),...
    xdata(:,3),ydata(:,3),'+',xdata(:,3),f_fit(:,3),...
    xdata(:,4),ydata(:,4),'x',xdata(:,4),f_fit(:,4))
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2Â¥2019-02-02 02:45:25
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