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Matlab运行到for循环直接跳过不执行问题7 \: E8 b2 h/ s9 i4 p/ A3 Z$ Z& y
代码如下:- j( l" z0 P6 U u( T# G) R& s) R$ k
clear all
1 J+ O2 x* J }* R# y: d. Zclc
$ r$ o, K4 _' _%%%初始化%%%- y1 x; Y% ^& w* \) O4 x
T=20;3 ]. R% `5 b9 _% I, [+ O( R
N=15000;' R' A; [! W* o5 x; Q' o& C3 h
h=T/N;. U. [0 x# P5 a- e& N4 b
tset=1;
; Q2 Z1 Q$ H& G8 Q, |$ D3 phh=3;, x; A2 B/ h" f4 k7 W" }9 N3 u- ^
6 {# E& }4 G7 l8 r' \$ o2 u1 ek=10;c=1;b=1;
) s- C7 ]1 z6 Q% n4 ]( \( L; _% t8 l0 P3 L! D/ c( T
X=zeros(4,N+1);( W0 r8 N! X% z! ~8 P% z/ F
V=zeros(4,N+1);; ^/ f$ @5 R% S3 R, C1 ~( u; d
U=zeros(4,N+1);
* O# u$ Q7 J8 n0 xE1=zeros(4,N+1);
2 ?" j: R7 I! N) VE2=zeros(4,N+1);! g0 B7 C! T; |# ~
X0=zeros(1,N+1);
7 S% u2 Z# u, y6 GV0=zeros(1,N+1);3 p+ t; J( d2 S) z5 C& W! M
E=zeros(8,N+1);
& x; ?4 \6 k6 G+ p# L5 G1 A6 qU0=zeros(1,N+1);
, b. r% B) i: m( b2 N$ a* M1 U( O0 O" h; j0 i- I" D$ O! D+ i/ Y+ F R
X(1,1)=20;
2 f' [5 j% _ U8 ?# }) NX(2,1)=-21;6 {/ @" N) W. j; T1 k4 u [5 e
X(3,1)=15;+ E3 ?, T/ ~8 k& G
X(4,1)=-10;
: C. _. @6 z( ~$ \9 F1 G* NX0(1,1)=0;, a! y6 a7 z: s! E) K! l2 v
& Q, w4 d. {/ C- [* y( ^
V(1,1)=1;; e6 J2 r5 d' z0 I, I. t& v
V(2,1)=-2;
$ N% @ f; { q, i7 }% Q8 O" k2 @V(3,1)=3;1 f9 i* p& k1 y8 u$ u; s) `
V(4,1)=-2;- i" \4 B d' N( ]% a) d
V0(1,1)=0;, a9 s/ U: e7 d) b
. B% x, h/ e; jM=[-1 0 1 0;$ h4 U# }( T t3 k% I
0 -2 1 1;
~' }4 {3 c z 1 1 -2 0;
1 h8 m& j, {# i/ |' v/ e 0 1 0 -1];
3 a9 w/ Z; x7 Q) w[V,D] = eig(M);%%特征向量V特征值D(对角线)
: t7 P0 }+ s* |3 m7 Llambda = wrev(diag(D));%%D里面的对角元素取出来放到lambda v7 E4 L/ a9 O. f
lamb = lambda(4);5 x0 T5 P( ^" z! e* K
A0 = [0 1;
! n& j& N1 o' i% L: a* E& [ 0 0];
. {! v6 \" w( I s, X% p/ K0 cB0 = [0 1]';
* e# C$ u, B0 n+ A. \2 f/ e$ C2 XI4=[1 0 0 0;- ]) ]' p$ Q( F9 T
0 1 0 0;2 g0 x; G t- i; r2 t) j- j5 h1 }
0 0 1 0;
, J; n6 ?. y: t1 w 0 0 0 1];, j& b( x- z i6 O
A = [0 1/(2*lamb);
; ]/ v! ~+ @; p0 i' s% _ 0 0];, R: i$ U4 g7 g
B = B0;
7 c6 d o2 P9 u! UN = 0;
& I, `3 E9 P" J1 BR = 1;
+ P o. {5 e5 c8 {5 ?3 B7 |1 U, l' pQ = [1/2 0;9 {0 ?9 T. I. l9 {, X6 l! f
0 1/2];
c/ H& H2 j3 ~7 V[K,P,e] = lqr(A,B,Q,R,N);
9 J( _+ N6 M% T1 w5 {9 A8 \C=B0'*P;* s9 \! \. ~( I) \
F=kron(I4,B0'*P);
2 S8 }" T: {2 ?1 J7 x5 P
W% ` B- r; J$ b
, X, E- E. C0 o5 u%%%迭代%%%
) ~) O* ], a4 x" R# a# d' \2 Tfor i=1:N
8 S) U+ V, F* ]6 A/ `: V. l tnow=T*(i/N);
) H$ I8 c& x' K9 @5 Q# r' w if tnow>=tset-0.01
! c1 i' O; [" S6 f ] mu=1;1 D/ @$ K. V6 H- E, B4 U! h
dmu=0;
( r' V# b: G9 k# I/ O dmu2 = 0;
/ Z3 f3 }8 \8 j4 D4 ?1 ^2 @ else" v* v2 A$ z8 h5 `; q$ h, }4 H
mu=(Tset/(Tset-tnow))^hh;
+ x4 ?' C9 C$ m( W dmu=(hh/Tset)*(mu^(1+1/hh));
+ _" z- n1 v3 H1 N dmu2 = hh*(hh+1)/(Tset^2)*(((Tset^hh)/((Tset-tnow)^hh))^((hh+2)/(hh)));- j4 v5 B f# w6 }+ |1 u
end
+ l' F* Q5 B# r J. f q3 u
" b5 D$ j5 | }& [* o X0(1,i+1)=h*(sin(tnow))+X0(1,i);# ^/ n, {& y6 k, O' S9 c$ U, L
V0(1,i+1)=h*(cos(tnow))+V0(1,i);- g* @/ a" i- c' B5 G. w5 ^0 v
U0(1,i)=-sin(tnow);
; T1 Q4 u. J9 E w9 I1 F l1=[1,1,1,1]';! C* s/ ~4 f; d6 W) B4 o" c3 @6 ]
& n* v2 M# z$ }) I/ }5 c s- |
E1(:,i)=M*(X(:,i)-l1*X0(1,i));
& s5 Y+ g+ B2 h+ B! }( ?# V
( C) M9 ~3 e; D E2(:,i)=M*(V(:,i)-l1*V0(1,i));0 i$ }' o `5 I5 B7 U2 f
" G) v6 A8 T" ?* Z/ Z* q+ B+ C0 W
E(:,i)=[E1(1,i);E2(1,i);E1(2,i);E2(2,i);E1(3,i);E2(3,i);E1(4,i);E2(4,i)];; s4 I N: S/ c4 x
U(:,i)=l1*U0(1,i)-F*E(:,i)-(k+c*(dmu2/mu))*(X(:,i)-l1*X0(1,i))-2*(k+c*(dmu/mu))*(V(:,i)-l1*V0(1,i));$ b4 ~" b2 w$ S; e
- T# o2 q+ C+ r& M7 E2 O( i4 ] X(:,i+1)=h*V(:,i)+X(:,i);
7 c$ ]' a9 k5 ^7 y6 i7 [& R' q5 X2 R- a+ J% q0 [! \" J
V(:,i+1)=h*U(:,i)+V(:,i);
7 Q2 {, }2 Q( M' o6 O9 q i; W, j, H7 [; s# @
end
( Q' S8 v! ~) a+ z
7 Q$ j* Z$ l' r5 H! x) W; X%%%作图%%%
) D. _( P5 P% ct=linspace(0,T,N+1);
, V8 @$ K8 @" Q- i
3 H2 a, m, m4 j1 yfigure(1), H: n2 k5 ^# p+ E4 [- z' r
plot(t,X(1, ,'linewidth',2);
( c4 H* t; h- D. N3 a& xhold on;
5 b# S* U2 H7 e/ F, C' w; \/ zplot(t,X(2, ,'linewidth',2);: F7 s! q6 h: G+ y0 q' n3 k
hold on;3 Q3 a( ]& |, U
plot(t,X(3, ,'linewidth',2);
5 }1 w7 r9 ~6 l! k( Y. k4 x* fhold on;% K1 ]/ q& k& T
plot(t,X(4,:),'linewidth',2);
4 t* t, Y, E# h8 s7 J9 D0 rhold on;
8 v5 m" B0 R# v( H& k' ]plot(t,X0(1,:),'linewidth',2);
( N: I8 {+ K! @* R. C0 C2 Fhold on;1 q2 F- L6 T- z. x
grid on;
4 i' D7 S: q' g/ jaxis([0 20 -30 30])
$ }1 C1 V& q9 t1 Vlegend('X1','X2','X3','X4','X0');
]) m# v7 J. [title('X')
) n. i4 Q6 Y2 T2 L8 ~
" O4 t$ f& J$ i9 [" Bfigure(2)
9 Y0 d2 E% l. v1 ~% g7 j: Splot(t,V(1,:),'linewidth',2);
' m- F q' a1 i# E j+ Ghold on;
, [5 l& [- T) J. p7 O0 Y" Rplot(t,V(2,:),'linewidth',2);
4 u' ]- A: o2 Ghold on;
: q) I( D) o) q* v8 m& m! Pplot(t,V(3,:),'linewidth',2);" L0 M3 w5 e! ~" }, y- b. i
hold on;
0 K! _+ y7 k$ H* `* Q" kplot(t,V(4,:),'linewidth',2);
) _, l. w. l) Ghold on;
- B% w* b+ g2 y- P& [3 qplot(t,V0(1,:),'linewidth',2);
# J* ~! L- M! B6 Whold on;4 e" k- o+ a& A- p; }
grid on;2 w% h4 P; `, B1 R- g% ?0 V
legend('V1','V2','V3','V4','V0');
* @ X: } w' h- N& U: \title('V')/ @1 E4 A# J" f! I; @9 ^, }
# H- |3 W" P7 Kfigure(3)
; N3 x- x: A; l5 h+ |plot(t,E1(1,:));
; r, Q1 L' V. O3 [* Y7 whold on;: p6 k* {, z/ G& x4 \
plot(t,E1(2,:));
: ]0 f: Y/ c2 A: V) |) Nhold on;6 a4 E1 o( w0 u
plot(t,E1(3,:));
3 G U: V3 \$ ]4 v8 i/ [hold on;: j$ ~+ ~8 G' ?
plot(t,E1(4,:));+ r6 d8 u$ h' p$ [4 E6 {7 u2 _
hold on;( H& E0 H" U7 X$ H
grid on;, t0 t: J8 C; Y, m/ G& O& M
title('EX')
1 K# y/ \7 S1 N& f' N9 T) }3 T6 w+ |: Z2 p j9 c- Y. N& ?
figure(4)" C3 O3 w$ B; `3 k5 U9 K
plot(t,E2(1,:));
) r+ m [% d! D+ @hold on;7 ]/ h6 |+ e4 X. a: D9 e
plot(t,E2(2,:));
/ E) x/ t* u9 ]" N, m, E9 hhold on;! Z/ W6 a, U0 V1 F$ e
plot(t,E2(3,:));8 t5 A: w5 c _
hold on;) ~" C, i6 {; E# p9 A6 D2 ?
plot(t,E2(4,:));) i2 M# J: z2 Q2 ? s8 q- J6 B4 r1 _
hold on;5 e' ]; {) u) A* `; D: u
grid on;
# w8 \0 o6 h S% v, T+ p' rtitle('EV')
$ c( g" S$ U" T$ a8 l0 Q; ?6 I: s1 H, ?; p) M
figure(5)
' Y8 i: B; T5 y, aplot(t,U(1,:));; Z1 \0 Z+ q- D+ K7 w9 S
hold on;
4 f3 q5 ]$ K7 [/ i6 C& mplot(t,U(2,:));+ _8 J- v T, f2 Y
hold on;
# \$ G$ z- m; i. R+ U3 Rplot(t,U(3,:));( X I( K: H; {9 R% [* P4 I. T: K% y
hold on;
/ e% x/ ^- p# b: x# y" p7 nplot(t,U(4,:));) L3 V b2 }- ^( u% b, u8 {: k
hold on;7 F0 b$ h6 N5 S& t
grid on;
# e$ o- Z% }) }- |- btitle('U') |
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