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t=2.3263;
3 y- l6 q; ?0 e9 s: Qk=0.5244; _6 A( C- C H7 l$ Q) Z
R=0.15;
1 X0 P* D7 s9 B# N9 \u=[0.1221,0.1786,0.1452,0.1054,0.1132]';% B- e L6 w2 E4 v
E=[1234,864,-617,-246,987;864,642,586,-198,-815;-617,586,1433,469,-963;-246,-198,469,346,25;987,-815,-963,25,1827];& X, Z0 J& ^. q
E=E/10000;2 P' K. }5 Q7 R& [( A1 A
c=0.0075;
* H; U7 @* y) {( V! S9 v& moptions = optimset('Algorithm','active-set'); % run active-set algorithm
& z2 i4 N5 ~( {aeq=[1+c,1+c,1+c,1+c,1+c];% f" v' ^; z* Z; }6 J
beq=1;, l! v' [; g0 U' [' W
lb=[0,0,0,0,0]';
3 r6 w5 D/ ]9 c$ h8 ^. f/ e! dub=[1,1,1,1,1]';
/ {. C* n% R6 d& ?x0=[0.02,0.03,0.05,0.11,0.12]';/ ]: ?# r l; T3 `4 d7 a
[x,fval,exitflag,output] = fmincon(@(x) myfun( x,t,E,u,c),x0,[],[],aeq,beq,lb,ub,@(x) mycon( x,t,k,E,u,c,R),options)4 L0 o6 o9 a3 g0 g3 J; r5 J
7 \6 ~/ M; [5 u4 Cfunction f = myfun( x,t,E,u,c ) %目标函数) q3 ]) ^% J1 ^' Q
%UNTITLED3 Summary of this function goes here
$ l% i1 |6 x6 M/ u' i' b: n% Detailed explanation goes here) m* ?+ X6 l3 W( o% O: \
f=t*sqrt(x'*E*x)-(u'-c)*x;
9 w0 i5 G1 y8 Iend0 \0 a8 c( ]( e \. ]+ m. a
# z& U8 m: ~* @* x9 W% R) n
function [C,Ceq] = mycon( x,t,k,E,u,c,R ) %非线性约束
6 N9 ^% z- A% S" A8 H%UNTITLED4 Summary of this function goes here& X% _ u, M: \. f
% Detailed explanation goes here# D! [5 J @ x: Y4 n" T
C=t*k*sqrt(x'*E*x)/(t-k)-t*(u'-c)*x/(t-k)+t*R/(t-k);' @3 i6 R5 J2 Y1 U# L
Ceq=[];
- [! W) _6 M. X( ?+ _/ lend8 q, ], I d! Q! J" d( A$ q. `
- z( ^4 P2 I- q# } H( j& `
, M$ A$ \9 P+ w# m z9 G
运行结果:
* O7 |$ R; `2 {+ lSolver stopped prematurely.
5 i8 }# I& ~4 ]6 d: f" j, jfmincon stopped because it exceeded the function evaluation limit,
$ T+ j8 e: R9 q f; x: toptions.MaxFunEvals = 500 (the default value).
$ o# C4 \# M4 r: o5 g. y1 Y4 t T1 n# S# i+ L5 v6 K1 a4 S. s: k: \
x =
6 `4 _1 }2 o9 A -0.0175( `. N) [: o4 z1 E- q1 I& J
0.4875
9 z9 ?( r% A! }8 s! m -0.01752 ]0 }" V: I/ P1 j& t% N+ b2 a* b
0.3074
% T3 p" ^' @/ I% n: c& ~: A4 C 0.23281 n! R3 e( v% D. L) @0 g5 J! I# o' c
9 w' n5 W- K2 i
fval =
. {/ J2 O: @$ E -0.0390( I0 J9 I. O( j, j2 M
3 D5 o5 D& q5 A) d% l
exitflag =4 D- R" }9 b! g4 r& |
0
; O5 m& l: K9 E" @7 R8 Q5 c( R! B4 s0 p8 Z$ c# d1 J) s, D
output =
) s% _8 V# u- u5 O iterations: 51
& R1 g- ^' o# y3 j funcCount: 505
2 w3 A n9 k) S$ x5 C lssteplength: 0.12509 T4 ^5 j x* t% |' ]4 f
stepsize: 0.0812; {* m4 y# `$ P0 Y) S
algorithm: 'medium-scale: SQP, Quasi-Newton, line-search') W, W4 ^, `7 f( N+ [1 Q- \0 r
firstorderopt: 2.4732
$ Y) D/ z B. \; s L constrviolation: 0.0509
3 X' X, A/ C' [( e9 } message: [1x145 char]
7 C' p* N$ Z1 B9 O1 J7 t. Z各位大虾,程序如上所述,为什么函数提前就结束了,是不是要改默认参数设置,小弟也试过,但是捣鼓不出来,希望各位高人不吝赐教,小弟先拜谢了 Orz |
zan
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