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zxqworld

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[ÇóÖú] Çó´óÉñ°ï濴һϠÎÒдµÄ»ý·Ö·¨ ÇóÈ¡¶¯Á¦Ñ§²ÎÊýµÄ ³Ìʽ ÒÑÓÐ2È˲ÎÓë

function KineticsEst1_int
% ¶¯Á¦Ñ§²ÎÊý±æÊ¶: Óûý·Ö·¨½øÐз´Ó¦ËÙÂÊ·ÖÎöµÃµ½ËÙÂʳ£ÊýkºÍ·´Ó¦¼¶Êýn
clear all
clc

global X
t =[30:30:120];
X1=[67.37 58.28 45.32 32.1];
X2=[7.88 17.88 17.45 26.43];
X3=[2.48 9.09 11.84 13.65];
X4=[1.58 0 0.94 0];
X5=[20.69 14.75 24.45 27.82];
% ·ÇÏßÐÔÄâºÏ
k0 = [0.00594 0.00391 0.00222 0.00810 0.00020 0.01071 ];
n0 =[1 1 1 1.43 1.38 1.26];
beta0=[k0; n0];
tspan = [30:120];
X0 = [67.37 7.88 2.48 1.58 20.69];
[beta,resnorm,residual,exitflag,output,lambda,jacobian] = ...
    lsqnonlin(@OptObjFunc,beta0,[],[],[],tspan,X0,X);
ci = nlparci(beta,resid,jacobian);

% ÄâºÏЧ¹ûͼ(ʵÑéÓëÄâºÏµÄ±È½Ï)
figure(1)
[t4plot X4plot] = ode45(@KineticsEqs,[tspan],X0,[],beta);
plot(t,X(:,1),'bo',t4plot,X4plot,'k-')
legend('Exp','Model')
xlabel('ʱ¼ä min')
ylabel('ÊÕÂÊC_C, %')

% ²Ð²î¹ØÓÚÄâºÏÖµµÄ²Ð²îͼ
[t Xc] = ode45(@KineticsEqs,tspan,X0,[],k,n);
figure
plot(Xc,resid,'*')
xlabel('ÊÕÂÊÄâºÏÖµ£¨%£©')
ylabel('²Ð²îR (%)')
refline(0,0)

% ²ÎÊý±æÊ¶½á¹û
fprintf('Estimated Parameters:\n')
fprintf('\tk = %.4f ¡À %.4f\n',k,ci(1,2)-k)
fprintf('\tn = %.2f ¡À %.2f\n',n,ci(2,2)-n)

% ------------------------------------------------------------------
function f = OptObjFunc(k,n,tspan,X0,X)
tspan=[30:30:120]
[t Xc] = ode45(@KineticsEqs,tspan,X0,[],k,n);
f1 = Xc(:,1) - X(:,1);
f2 = Xc(:,2) - X(:,2);
f3 = Xc(:,3) - X(:,3);
f4 = Xc(:,4) - X(:,4);
f5 = Xc(:,5) - X(:,5);
f = f1+ f2+ f3+ f4+ f5;



% ------------------------------------------------------------------
function dXdt = KineticsEqs(t,X,k,n)
dXdt =  ...
[ ( -(k(1)+k(2)+k(3)+k(4))*X(1)^n(1)  )
   ( k(2)*X(1)^n(2))
   ( k(1)*X(1)^n(1)+k(5)*X(4)^n(5)+k(6)*X(5)^n(6) )
   ( k(3)^X(1)^n(3)-k(5)*X(4)^n(5))
   ( k(4)*X(1)^n(4)-k(6)*X(5)^n(6))
];

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dingd

Ìú¸Ëľ³æ (Ö°Òµ×÷¼Ò)

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΢·Ö·½³ÌÄâºÏÄãÊÔÊÔ1stOpt£¬¸ü¼òµ¥ºÃÓÃЩ¡£
2Â¥2014-05-23 10:21:25
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

zxqworld

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ÒýÓûØÌû:
2Â¥: Originally posted by dingd at 2014-05-23 10:21:25
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3Â¥2014-05-23 10:43:51
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