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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)) ]; ³ÌÐò´íÎóºÃ¶à£¬µ«ÊDz»ÖªµÀÔõô¸Ä£¬ÓÈÆäÊÇ ·ÇÏßÐÔÄâºÏ²¿·Ö£¬¹ØÓÚ¾ØÕóbeta£¬ÎÒÊDzÎÕÕÒ»±¾ÊéÉϵÄÒ»¸öÀýÌâдµÄ£¬µ«ÊÇËûÖ»ÓÐÒ»¸ö·½³Ì£¬ÎÒÓÐ5¸ö£¬»¹Çë¸÷λ´óÉñ°ï濴һϡ£¡£Íò·Ö¸Ðл£¡£¡ |
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