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function KineticsEst1_int11
clear all
clc
t=[0 20 40 100 270 450 750 1410 1590 1810];%ʱ¼ä
rA=[0.0004765 0.0004507  0.0004250  0.0003477 0.001549 0.0001117 0.0000396 0.0000018  0.0000038 0.0000062];%·´Ó¦ËÙÂÊ
Pa=[0.042729739 0.041609737 0.040801805 0.038526838 0.033412812 0.030519156 0.028695168 0.02792077 0.027918742 0.0278887981]; %ÈéËáµÄĦ¶û·ÖÂÊ
Pb=[0.123670897  0.122550895  0.121742963 0.119467996 0.11435397  0.111460314  0.109636326  0.108861928 0.1088599 0.108829956];%ÕýT´¼µÄĦ¶û·ÖÂÊ
Pc=[0.833599364  0.834719366 0.835527299 0.837802265 0.842916291 0.845809947 0.847633933 0.848408333 0.848410361 0.848440305];%Ë®µÄĦ¶û·ÖÂÊ
Pd=[0.001120002 0.001927934 0.004202901 0.009316927 0.012210583 0.014034571 0.014808969 0.014810996  0.014840941  0.014850941];%ÈéËáÕý¶¡õ¥µÄĦ¶û·ÖÂÊ
%ÏßÐÔÄâºÏ
P=2.337132745*Pa.*Pb-0.564655417*Pc.*Pd;y=rA';X=[ones(size(y))  P'];

b=X\y;k=b(2);     
%·ÇÏßÐÔÄâºÏ
beta0=[k]
[beta,resnorm,residual,exitflag,output,lambda,jacobian] = ...
    lsqnonlin(@ObjFunc,beta0,[],[],[],rA,Pa,Pb,Pc,Pd)  


%ÄâºÏЧ¹ûͼ(ʵÑéÓëÄâºÏµÄ±È½Ï)
figure(1);plot(t,rA,'.')
r_poly=beta(1)*(2.337132745*Pa.*Pb-0.564655417*Pc.*Pd);
hold on;plot(t, r_poly,'g')
figure(2);plot(Pb,rA,'.'); hold on;plot(Pb, r_poly,'g')

%-----------------------------------------------------------------------------Ò»
Function f=ObjFunc(beta,rA,Pa,Pb,Pc,Pd)
f=rA-beta(1)*(2.337132745*Pa.*Pb-0.564655417*Pc.*Pd);

³öÏÖÒÔÏ´íÎó
??? Error using ==> feval
Undefined function or method 'ObjFunc' for input arguments of type 'double'.

Error in ==> lsqnonlin at 203
            initVals.F = feval(funfcn{3},xCurrent,varargin{:});

Error in ==> KineticsEst1_int11 at 33
[beta,resnorm,residual,exitflag,output,lambda,jacobian] = ...

Caused by:
    Failure in initial user-supplied objective function evaluation. LSQNONLIN
    cannot continue.
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