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СµÜʵÔÚÊÇÒ»Çϲ»Í¨¶Ômatlab£¬²»Òª¹ÖСµÜÌáµÄÎÊÌâ±È½Ïɵ£¬Ò»¸öÊDZ¨´íÖеÄÎÊÌ⣬Õâ¸ö[k,fval,flag] = fmincon(@ObjFunc7FminconÒ»¾äµÄ@ObjFunc7FminconÊÇÔõôÉ趨µÄ£¿ÎÒ¿´ÓеÄÈËд@ObjFunc4Fmincon. È»ºóÂé·³´ó¼Ò¿´¿´Õâ¸öÎÒ×Ô¼ºÄ£ÄâµÄ´úÂ룬Êǰ´ÕÕ°æÖ÷ @dbb627µÄ´úÂëдµÄ£¬µ½µ×ÊÇÄÄÀï²»¶ÔÂé·³¸ÄÏÂллÁË¡£ function parafit % % r1 = k(1)*C(1); % r2 = k(2)*C(1); % r3 = k(3)*C(2); % r4 = k(4)*C(3); % r5 = k(5)*C(2); % r6 = k(6)*C(3); % % dCAdt = - r1 - r2; % dCBdt = r1 + r4 - r3 - r5; % dCCdt = r2 + r3 - r4 ¨C r6 ; % dCDdt = r5 + r6; clear all clc % t/min CA-1 CB-2 CC-3 CD-4 / mol/L Kinetics=[0 100 0 0 0 10 0.2441 0.1390 0.28.31 0.0171 20 0.432 0.1629 0.2370 0.0192 30 0.756 0.1992 0.2509 0.0349 40 0.522 0.2091 0.2737 0.0531 50 0.426 0.1967 0.3231 0.0634 60 0.397 0.1803 0.3536 0.0822 70 0.431 0.1732 0.3330 0.0945 80 0.531 0.1645 0.3310 0.0987]; k0 = [0.0000000005 0.0000000005 0.0000000005 0.00000000005 0.00000005 0.00000005]; % ²ÎÊý³õÖµ lb = [0 0 0 0 0 0]; % ²ÎÊýÏÂÏÞ ub = [1 1 1 1 1 1]; % ²ÎÊýÉÏÏÞ x0 = [100 0 0 0]; yexp = Kinetics; % yexp: ʵÑéÊý¾Ý[x1 x4 x5 x6] warning off % ʹÓú¯Êýfmincon()½øÐвÎÊý¹À¼Æ [k,fval,flag] = fmincon(@ObjFunc7Fmincon,k0,[],[],[],[],lb,ub,[],[],x0,yexp); fprintf('\nʹÓú¯Êýfmincon()¹À¼ÆµÃµ½µÄ²ÎÊýֵΪ:\n') fprintf('\tk1 = %.11f\n',k(1)) fprintf('\tk2 = %.11f\n',k(2)) fprintf('\tk3 = %.11f\n',k(3)) fprintf('\tk4 = %.11f\n',k(4)) fprintf('\tk5 = %.11f\n',k(5)) fprintf('\tk6 = %.11f\n',k(6)) fprintf(' The sum of the squares is: %.1e\n\n',fval) k_fm= k; warning off % ʹÓú¯Êýlsqnonlin()½øÐвÎÊý¹À¼Æ [k,resnorm,residual,exitflag,output,lambda,jacobian] = ... lsqnonlin(@ObjFunc7LNL,k0,lb,ub,[],x0,yexp); ci = nlparci(k,residual,jacobian); fprintf('\n\nʹÓú¯Êýlsqnonlin()¹À¼ÆµÃµ½µÄ²ÎÊýֵΪ:\n') fprintf('\tk1 = %.11f\n',k(1)) fprintf('\tk2 = %.11f\n',k(2)) fprintf('\tk3 = %.11f\n',k(3)) fprintf('\tk4 = %.11f\n',k(4)) fprintf('\tk5 = %.11f\n',k(5)) fprintf('\tk6 = %.11f\n',k(6)) fprintf(' The sum of the squares is: %.1e\n\n',resnorm) k_ls = k; output warning off % ÒÔº¯Êýfmincon()¹À¼ÆµÃµ½µÄ½á¹ûΪ³õÖµ£¬Ê¹Óú¯Êýlsqnonlin()½øÐвÎÊý¹À¼Æ k0 = k_fm; [k,resnorm,residual,exitflag,output,lambda,jacobian] = ... lsqnonlin(@ObjFunc7LNL,k0,lb,ub,[],x0,yexp); ci = nlparci(k,residual,jacobian); fprintf('\n\nÒÔfmincon()µÄ½á¹ûΪ³õÖµ£¬Ê¹Óú¯Êýlsqnonlin()¹À¼ÆµÃµ½µÄ²ÎÊýֵΪ:\n') fprintf('\tk1 = %.11f\n',k(1)) fprintf('\tk2 = %.11f\n',k(2)) fprintf('\tk3 = %.11f\n',k(3)) fprintf('\tk4 = %.11f\n',k(4)) fprintf('\tk5 = %.11f\n',k(5)) fprintf('\tk6 = %.11f\n',k(6)) fprintf(' The sum of the squares is: %.1e\n\n',resnorm) k_fmls = k; output tspan = [0 : 10 : 80]; [t x] = ode45(@KineticEqs,tspan,x0,[],k_fmls); figure; plot(t,x(:,1),t,yexp(:,2),'*');legend('ca-pr','ca-real') figure;plot(t,x(:,2:5)); hold on plot(t,yexp(:,3:6),'o');legend('cb-pr','cc-pr','cd-pr','ce-pr','cb-real','cc-real','cd-real','ce-real') % ------------------------------------------------------------------ function f = ObjFunc7Fmincon(k,x0,yexp) tspan = [0 : 10 : 80]; [t x] = ode45(@KineticEqs,tspan,x0,[],k); y(:,2) = x(:,1); y(:,3:6) = x(:,2:5); f = sum((y(:,2)-yexp(:,2)).^2) + sum((y(:,3)-yexp(:,3)).^2) ... + sum((y(:,4)-yexp(:,4)).^2) + sum((y(:,5)-yexp(:,5)).^2) ... + sum((y(:,6)-yexp(:,6)).^2) ; % ------------------------------------------------------------------ function f = ObjFunc7LNL(k,x0,yexp) tspan = [0.0 : 10 : 80]; [t x] = ode45(@KineticEqs,tspan,x0,[],k); y(:,2) = x(:,1); y(:,3:6) = x(:,2:5); f1 = y(:,2) - yexp(:,2); f2 = y(:,3) - yexp(:,3); f3 = y(:,4) - yexp(:,4); f4 = y(:,5) - yexp(:,5); f5 = y(:,6) - yexp(:,6); f = [f1; f2; f3; f4; f5]; % ------------------------------------------------------------------ function dxdt = KineticEqs(t,x,k) r1 = k(1)*x(1); r2 = k(2)*x(1); r3 = k(3)*x(2); r4 = k(4)*x(3); r5 = k(5)*x(2); r6 = k(6)*x(3); dCAdt = - r1 - r2; dCBdt = r2 + r4 - r3 - r5; dCCdt = r2 + r3 - r4 - r6; dCDdt = r5 + r6; dxdt = [dCAdt; dCBdt; dCCdt; dCDdt]; |
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2Â¥2015-11-29 21:52:01
llgcty
½ð³æ (ÕýʽдÊÖ)
- Ó¦Öú: 5 (Ó×¶ùÔ°)
- ½ð±Ò: 985.4
- É¢½ð: 5
- ºì»¨: 1
- Ìû×Ó: 337
- ÔÚÏß: 143.9Сʱ
- ³æºÅ: 1073112
- ×¢²á: 2010-08-11
- רҵ: ÄÜÔ´»¯¹¤
3Â¥2015-11-30 11:21:13













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