優(yōu)化設(shè)計報告

1、優(yōu)化設(shè)計報告投2戲China University of Geosciences學(xué) 院：機(jī)械與電子信息學(xué)院專業(yè)：機(jī)械設(shè)計制造及其自動化班 級：7210403學(xué) 生：姜又強指導(dǎo)老師：饒建華無約束優(yōu)化設(shè)計題目：求解無約束優(yōu)化問題，已知x0=1,1,Min f(X)=x(1)八2 + 2*x(2)八2-2*x(1)*x(2)-4*x(1)(題目為課本p34例4-1) 下面是利用matlab求解過程:1.1編輯并保存m-file：function f=funl(x)f=x(1)八2+2*x(2)八2-2*x(1)*x(2)-4*x(1);Editor - C:UsersAdministratorDoc

2、uTnentsMATLABfLin.rri，F(xiàn)ile Edit T&xt Go Cell Tools Debug Desktop Window Helpm sb:增偏-1.0+ I -S- 1.1 X 密遮 fllfunction f=funr：K)- fcz(l Q) 2-2*i (l)*i C2)-4*i(O ；341.2進(jìn)行優(yōu)化求解，編程并運行得到結(jié)果 x0 =1,1;x=fminunc(fun,x0);y=funl(x)File Edit Debu g Parallel Desktop Window Help菖 弟電曜呵 ol 才藝 C:U &ersAd mini stratorDoc

3、u m entsM ATLABShortcuts How to Add _?1 Whats New xO =1, 1:x=fuiinuncfunJ, xO);y=fun fx)Warning: Gradient must be provided for trust-region algorithm: using line-search algorithm instead. In fmirum】 at 34：Local minimiuiL fciund.Optimization completed because the 就2 nf the gradimirt is less than the

4、default value of the funEtMn tciluranE.stio口口inM orihria-8. 0000約束優(yōu)化設(shè)計題目：求解下面線性規(guī)劃問題：Min f (X) =(x(1)-1)八2+(x(2)-2)八2 + 1 s.t.2*x(1)-x(2)=1;x(1)+x(2)=0;x(2)=0;X0=0,0(題目為課本p87習(xí)題6-1)1.1編輯并保存m-filefunction f=objfun(x)f=(x(1)-1)八2+(x(2)-2)八2 + 1Ed tor - C :UsersAd mini stratorDes lrtopo bjf u n. mFile Ed

5、it Text Go Cell Tools Debug Desktop W:堆通-10 | + | ? 1.1* 毯疫 &function f=objfunK)-4 一-1)*(! (2)-2) 2+13function c, ceq =confun(x) c=2*x(1)-x(2)-1;x(1)+x(2)-2;-x(1);-x(2);ceq=;Editor - C:UsersAdministrartorDesIrtopUntitle(File Edit Text Go Cell Tools D&bug 口莒|苗通謚言，|* *i- 10 + | -；- 1.1* | 成遮L -unction

6、 c ceq =confun(K)-c= 2*k (1)-k (2)-1:k(1)+k(2)-2；-k(1);r ;5 -ceq=:2.2進(jìn)行優(yōu)化求解，編程并運行得到結(jié)果x0=0,0；x,fval=fmincon(objfun,x0,confun)去 MATLAB 7.9.0 (R20Mb)File Edit Debug Parallel Desktop Window Help ! D d舶嘻色|御苗目 Current Folder: C:U sersAd mini strata rDocu m entsMShortcuts How to Add Z1 Whats New k0=0, 0;kj

7、 fval =fminconrobjfuiij xOj ,冒 confun)Warning: Trust-region-reflective algorithm does not solve this type of problentj usir In fmiiiEn at 410Lnral minimujR po呂呂ible. Con呂traints 呂ati呂fied.f mine on st opped because the 二 izr nf thm rnrreirt tEarch directinn is less than twice the default value of th

8、e Me口 mirm tcdmranE and constraints were satisfied to within the default value of the Eiiitraint t己raiiE.呂topping criteriaAct ive inequalities to within opt ions. TolCon = 1 e006): lower upper ineqlin ineqnonlin11. 1825-1. 7398fval =3. 0608ft 3.感想通過幾周的學(xué)習(xí)，對優(yōu)化設(shè)計有了初步的了解，知道了在我們的生產(chǎn)實踐中可以有很多 的優(yōu)化方法來對我們設(shè)計的產(chǎn)品進(jìn)行優(yōu)化，以達(dá)到成本最小利潤最大化的目的，另外優(yōu)化設(shè) 計方法也對我們的科學(xué)發(fā)展提供了一定的保障。通過理論學(xué)習(xí)和和上機(jī)實習(xí)，讓我對優(yōu)化設(shè) 計方法有了更好的理解，并通過自