²é¿´: 623  |  »Ø¸´: 2

llgcty

½ð³æ (ÕýʽдÊÖ)

[ÇóÖú] ÔÚÏߵȣ¬Çë°æÖ÷¿´¿´ÈçºÎÔËËã²»ÁË¡£×ÜÊDZ¨´í

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];
»Ø¸´´ËÂ¥
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

llgcty

½ð³æ (ÕýʽдÊÖ)

¿ìµãÀ´°É£¬°ïæһÏ£¡£¡£¡
2Â¥2015-11-29 21:52:01
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

llgcty

½ð³æ (ÕýʽдÊÖ)

¸÷λ´óÉñ°ï°ïæ
3Â¥2015-11-30 11:21:13
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
Ïà¹Ø°æ¿éÌø×ª ÎÒÒª¶©ÔÄÂ¥Ö÷ llgcty µÄÖ÷Ìâ¸üÐÂ
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[˶²©¼ÒÔ°] ÊÛSCIÒ»ÇøÎÄÕ£¬ÎÒ:8 O5 51O 54,¿ÆÄ¿ÆëÈ«,¿É+¼± +4 8rmuugja8q 2026-02-22 8/400 2026-02-23 12:22 by alian_214
[»ù½ðÉêÇë] ÌåÖÆÄÚ³¤±²ËµÌåÖÆÄÚ¾ø´ó²¿·ÖÒ»±²×ÓÔڵײ㣬ÈçͬÄãÃÇÒ»Ñù´ó²¿·ÖÆÕͨ½ÌʦæÇÒÊÕÈëµÍ +10 ˲ϢÓîÖæ 2026-02-20 13/650 2026-02-23 11:23 by holypower
[ÂÛÎÄͶ¸å] ÊÛSCIÒ»ÇøÎÄÕ£¬ÎÒ:8 O5 51O 54,¿ÆÄ¿ÆëÈ«,¿É+¼± +4 khieu8v8m0 2026-02-22 8/400 2026-02-23 09:29 by w4l55oybr1
[¿¼ÑÐ] ÊÛSCIÒ»ÇøÎÄÕ£¬ÎÒ:8 O5 51O 54,¿ÆÄ¿ÆëÈ«,¿É+¼± +5 usprnugpzw 2026-02-21 11/550 2026-02-23 09:24 by w4l55oybr1
[½Ìʦ֮¼Ò] ΪʲôÖйú´óѧ¹¤¿Æ½ÌÊÚÃÇË®ÁËÄÇô¶àËùνµÄ¶¥»á¶¥¿¯£¬µ«»¹ÊÇ×ö²»³öÓîÊ÷»úÆ÷ÈË£¿ +5 »¶ÀÖËÌÒ¶Ýè 2026-02-21 8/400 2026-02-23 09:19 by »¶ÀÖËÌÒ¶Ýè
[ÂÛÎÄͶ¸å] ÊÛSCIÒ»ÇøÎÄÕ£¬ÎÒ:8 O5 51O 54,¿ÆÄ¿ÆëÈ«,¿É+¼± +3 w89i99eaeh 2026-02-22 5/250 2026-02-23 08:04 by w4l55oybr1
[²©ºóÖ®¼Ò] ÊÛSCIÒ»ÇøÎÄÕ£¬ÎÒ:8 O5 51O 54,¿ÆÄ¿ÆëÈ«,¿É+¼± +4 khieu8v8m0 2026-02-22 6/300 2026-02-23 07:59 by w4l55oybr1
[²©ºóÖ®¼Ò] ÊÛSCIÒ»ÇøÎÄÕ£¬ÎÒ:8 O5 51O 54,¿ÆÄ¿ÆëÈ«,¿É+¼± +6 3dfhjxgsh7 2026-02-22 9/450 2026-02-23 07:49 by w4l55oybr1
[¿¼²©] ÊÛSCIÒ»ÇøÎÄÕ£¬ÎÒ:8 O5 51O 54,¿ÆÄ¿ÆëÈ«,¿É+¼± +4 khieu8v8m0 2026-02-22 4/200 2026-02-23 06:46 by jsjzfl
[¹«Åɳö¹ú] ÊÛSCIÒ»ÇøÎÄÕ£¬ÎÒ:8 O5 51O 54,¿ÆÄ¿ÆëÈ«,¿É+¼± +3 khieu8v8m0 2026-02-22 5/250 2026-02-23 06:29 by w4l55oybr1
[˶²©¼ÒÔ°] ÊÛSCIÒ»ÇøÎÄÕ£¬ÎÒ:8 O5 51O 54,¿ÆÄ¿ÆëÈ«,¿É+¼± +4 khieu8v8m0 2026-02-22 8/400 2026-02-23 06:24 by w4l55oybr1
[½Ìʦ֮¼Ò] °æÃæ·Ñ¸Ã½»Âð +7 Æ»¹ûÔÚÄÄÀï 2026-02-22 8/400 2026-02-22 22:37 by otani
[»ù½ðÉêÇë] ÃæÉÏ¿ÉÒÔ³¬¹ý30Ò³°É£¿ +4 °¢À­¹±aragon 2026-02-22 4/200 2026-02-22 21:22 by ɽÎ÷Ðü¿ÕË¿ÕÐüÎ
[ÂÛÎÄͶ¸å] ÊÛSCIÒ»ÇøÎÄÕ£¬ÎÒ:8 O5 51O 54,¿ÆÄ¿ÆëÈ«,¿É+¼± +4 usprnugpzw 2026-02-21 6/300 2026-02-22 19:48 by w89i99eaeh
[¿¼ÑÐ] ÊÛSCIÒ»ÇøÎÄÕ£¬ÎÒ:8 O5 51O 54,¿ÆÄ¿ÆëÈ«,¿É+¼± +3 3dfhjxgsh7 2026-02-22 4/200 2026-02-22 16:52 by khieu8v8m0
[ÕÒ¹¤×÷] ÊÛSCIÒ»ÇøÎÄÕ£¬ÎÒ:8 O5 51O 54,¿ÆÄ¿ÆëÈ«,¿É+¼± +3 usprnugpzw 2026-02-22 3/150 2026-02-22 16:37 by khieu8v8m0
[¹«Åɳö¹ú] ÊÛSCIÒ»ÇøÎÄÕ£¬ÎÒ:8 O5 51O 54,¿ÆÄ¿ÆëÈ«,¿É+¼± +3 usprnugpzw 2026-02-21 4/200 2026-02-22 16:27 by khieu8v8m0
[»ù½ðÉêÇë] ¡°ÈËÎÄÉç¿Æ¶øÂÛ£¬Ðí¶àѧÊõÑо¿»¹Ã»ÓдﵽÃñ¹úʱÆÚµÄˮƽ¡± +4 ËÕ¶«ÆÂ¶þÊÀ 2026-02-18 5/250 2026-02-22 16:07 by liangep1573
[»ù½ðÉêÇë] ʲôÊÇÈËÒ»Éú×îÖØÒªµÄ£¿ +4 ˲ϢÓîÖæ 2026-02-21 4/200 2026-02-22 11:44 by huagongfeihu
[»ù½ðÉêÇë] ½ñÄê´ºÍíÓм¸¸ö½ÚÄ¿ºÜ²»´í£¬µãÔÞ£¡ +11 ˲ϢÓîÖæ 2026-02-16 12/600 2026-02-21 21:14 by lq493392203
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û