优化设计第7次课

1、 H1()2TTf XX HXB XCT( )( )0jkSgT( )(1)0jkSg( )kX(1)kX( )( )kkgHXB(1)(1)kkgHXB(1)( )(1)( )()kkkkggH XXTT( )(1)( )( )(1)( )()0jkkjkkSggSH XX（）= ( )(1)( )kkkSXX T( )( )0jkSHS( ) jS( )kSH( ) jS( )kX(1)kX( ) jSH(0)X(1)(0)0XXT110e T201e (1)0X1e2e(1)1X(1)2X(1)(1)(1)20SXX2e(2)0X(1)S(2)1X(2)2X(1)S1e2e(1)S(1)

2、2X(1)S(2)0X(1)X(2)(2)(2)20SXX(2)0X(2)0X(2)2X(1)2X(2)1X(1)S(2)2X(1)SH(2)2X(2)S(2)X(2)X(1)2XH(1)S(2)S(2)X*X(1)0X(1)3X(1)S(1)3X(1)S(1)(0)0XX1e1e2e2e3e3e(1)1 1223 3Sa ea ea e1e2e3e10a (1)223 3Sa ea e(1)S2e3e (0)X0(1)(1)(1)12,.,nSSS12,.,ne ee(1)(0)0XX1k ( )0kX( )( )( )12,.,kkknSSS( )( )( )12,.kkknXXX( )(

3、 )( )( )( )11min()()kkkkkiiiiif XSf XS( )( )( )( )1kkkkiiiiXXS( )knX( )( )( )10kkknnSXX( )( )0kknXX( )( )( )( )( )( )100()2kkkkkknnnnXXXXXX( )0kX( )knX( )1knXk( )10()kff X( )2()knff X( )31()knff Xk( )km( )( )( )1max()() (1,2,., )kkkmiif Xf Xin( )km( )( )( )1kkkmiiSXX31ff( )2( )21231213(2)()0.5()kkmm

4、fffffff( )1knS( )kmS( )( )( )( )( )( )12111,.,.,kkkkkkmmnnSSSSSS( )1knS(1)( )(1,2,., )kkiiSSin( )knX( )1knX2f3f(1)0kX*(1)0kXX*(1)0()()kf Xf X1kk 21212()10()f Xxxxx2（ +-5） 2212112()242f Xxxxx x(0)1,1TX0.00112()(,)f Xf x x12xx,hlgXXX(),(),()hlgf Xf Xf X()()()hglf Xf Xf XhXlXhXlXgXcXcXcXcXhXrXrXhX()2rc

5、chchXXXXXXlXrX()rf X()lf X()()rlf Xf XrhXXeX()ecchXXXXhXrXhX()()elf Xf XeX,gleXXX()()elf Xf XeX,glrXXXrXhX()rf X()hf XgX()gf X()()()hrgf Xf Xf XrXsX()scrcXXXX()()shf Xf X0.5hXrXsX,glsXXXsXhX,glrXXXrXhX()rf X()hf XhXcX()()rhf Xf X()scchXXXX hX()()shf Xf X sX,glsXXXsXlXhX()hf XlXgXhcX X()f X,hglXXX,hg

6、lXXX121,.,nXXX1X1Xieh(2,3,.,1)jXjn11(1,2,., )iiXXhe inieh0.515.01.6 1.7213111,.,nXXXXXX()(1,2,.,1)iiff XinlXhXgX()min(1,2,.,1)lliff Xf in()max(1,2,.,1)hhiff Xf in()max(1,2,.,1,)ggiff Xf inihhllffflX*,()()llXXf Xf X1211()nnihiXXXnhX322nnhXXX33()nnff X4232()nnnnXXXX 44()nnff X43nnff4nXhX3nXhX3nlff3nXl

7、X3nlff3nXlXgX3ngff3nX3nXhX3ngff3nhff522()nnhnXXXX55()nnff X5nX5nfhXhf5nhff5nXhX3nhff5232()nnnnXXXX55()nnff XlX1()(1,2,.,1)2ililXXXXin212()4(6)f Xxx2（ -5） （6-1）min()s. t. ()0 (1,2,.,)()0 (1,2,.,)nukf XXRgXumh Xkln()0 (1,2,.,)uDX gXum(1)( )( )kkkkXXS( )kS ) ) ( )(1,2,.)kXk 121211(, ,)()()()mlukukX r r

8、f XrG gXr H hX 12(, ,)X r r1()urG gX2()kr H hX()ugX()khX12,r r12(, ,)X r rT2122212,min()(2)(1)Xx xRf Xxx12s.t. ( )220h xxx (0)XS(0)XSXX()0 (1,2,.,)ugXum(0)()()f Xf XX(0)XX3512r 3622r 3732r 2657863r r1r 5rr 3rr3rrr 32rrr2rrr21rrr1rrr1qr rqq()xaq ba(0)X()0 (1,2,.,)ugXum(0)X (0)Xiiiaxb(1,2,. )in iq(1,2

9、,. )in() (1,2,., )iiiiixaq bainXXX(0)XXX=S(0)Xe00e00()N Nn( ) (1,2,., ; 1,2,.,)jiqinjN( ) je( )1( )( )21/22( )11 (1,2,. )()jjjnjijinqqejNqq 0( )(0)( )0 (1,2,.,)jjXXejN( )(1,2,.,)jXjN(0)X0( )(1,2,.,)jXjN( )1(1,2,.,)jXjN1N( )1()(1,2,.,)jf XjNLX( )( )1:()min() (1,2,.,)LLjXf Xf XjN( )(0)LSXXLX(0)X( )(0)()()Lf Xf XLX(0)XS0( )(0)()()Lf Xf X06010( )(0)()()Lf Xf XLX(0)X(0)XLX( )( )1( )(0)()0 (1,2,.,)()min() (1,2,.,)()()LuLjLgXumf Xf XjNf Xf X( )(0)LSXX(0)XSLX(0)LXX(0)XS01.3(0)X( )(1,2,.,)jejN0( )(1,2,.,)jXjNLX( )(0)LSXX(0)XSX(0)1(0)(0)2()()()f Xf X