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Matlab运行到for循环直接跳过不执行问题; J) Z/ Y0 V. l0 U9 B) D u# g
代码如下:
0 L, O/ G+ K2 S6 E) N+ Z) K9 lclear all
6 O' x: h7 [) m! q' Gclc
2 L- B8 k: G6 x# d8 j%%%初始化%%%
+ I/ N% O1 f# A n" z; m" eT=20;
# A* _0 K7 J& J! g" Y+ h5 uN=15000;5 H: T" t6 |) i6 ~. p& R
h=T/N;: P; R! \' M1 p
tset=1;
: o5 C% S9 J+ v/ vhh=3;
' i8 _7 s! x, {: [
5 v$ B' P. G( L4 a, Ik=10;c=1;b=1;: F) W$ K0 d$ |5 c: l5 s
4 D- ?$ w+ H, {/ o: m7 @- T, jX=zeros(4,N+1);
7 b) C4 U, t: p% u- Q |V=zeros(4,N+1);
5 [- ~! a3 B/ L) u: x, z) vU=zeros(4,N+1);* c& F7 q# ` @) L
E1=zeros(4,N+1);
$ e. C3 d5 w0 V4 EE2=zeros(4,N+1);- [9 e! i1 S4 o8 Y" C
X0=zeros(1,N+1);1 d2 f: K! M+ D' l8 {* k4 z) n
V0=zeros(1,N+1);
7 W1 H. l$ i5 b6 F! n" F- dE=zeros(8,N+1);
$ H) l1 B8 o! Z; WU0=zeros(1,N+1);
# O5 ?( J/ j$ O& U
, H3 g$ y( I& E' s* LX(1,1)=20;" x6 j' B' d" c, L
X(2,1)=-21;
V( k% D% N8 ^/ EX(3,1)=15;" x- o5 p6 V: k% t2 b$ Q
X(4,1)=-10;8 ]8 j8 u3 v, X$ }! a
X0(1,1)=0;5 M0 k( Z( ]: x& X$ n/ f( G& G& L
3 T5 Q+ U% z) ]6 AV(1,1)=1;. ~4 p* k/ {1 i( |5 [& k
V(2,1)=-2;( g$ V% \' N/ A# m( d
V(3,1)=3;
2 Y& i3 S" j# L) XV(4,1)=-2;
, {* [$ ?% p! M8 I2 } ?2 t2 JV0(1,1)=0;
6 O7 e( O s/ W' `2 C/ c
* T, a' |3 Y# h4 i2 WM=[-1 0 1 0;
# D% @6 ^4 e. w, R$ m5 t1 W 0 -2 1 1; F2 F) Q8 I4 p9 F' \. o
1 1 -2 0;
9 F% d% q2 c9 M' R( b6 a: V 0 1 0 -1];! N7 y' @0 S. l3 N8 h) Z& @5 g
[V,D] = eig(M);%%特征向量V特征值D(对角线)
( N4 |- T7 y3 Slambda = wrev(diag(D));%%D里面的对角元素取出来放到lambda/ f; Y) j" B' N! Z% Z4 G
lamb = lambda(4);
5 z, d' I( W8 e* b3 E ^ s, kA0 = [0 1;
# ^3 u; L- `% v0 d9 c 0 0];
( M4 U0 [; a. \! e9 ?$ eB0 = [0 1]';$ v& l, y5 q3 k( h
I4=[1 0 0 0;; T+ a+ f) O# W& Y# g7 V- P- x
0 1 0 0;
( O- H$ p. t! g3 b0 w% v c/ t 0 0 1 0;. x$ {- z+ K- M( r6 ]
0 0 0 1];
$ j3 N+ Q( l1 @) Y+ ZA = [0 1/(2*lamb);
* X: m7 x0 R/ U; _ 0 0];
* ^2 T9 a$ N9 P9 I- Y UB = B0;
( j- x9 ?6 f* r. s, d8 N7 SN = 0;
2 ?0 R( B- x, A: h& R" b( fR = 1;1 r; O c) w- W% y( |% O( {2 ^
Q = [1/2 0;
$ ?- k5 ^+ O) T- y; [ 0 1/2];
0 ?: |# u6 I; ]( ~$ H0 T/ @9 F[K,P,e] = lqr(A,B,Q,R,N);
) t! O6 A3 D& f' v& {( uC=B0'*P;* ~# N0 s( |3 @/ _; T7 [6 o/ m
F=kron(I4,B0'*P);
; P. T. m: s! ]( J& G, A7 |8 N( g7 s1 h' R$ _: g, T
" N x! }8 \: J+ h1 y3 |%%%迭代%%%
; \) [8 W: U" V. c, mfor i=1:N$ A& S% i0 H/ {3 F
tnow=T*(i/N);
4 @. g U- H( c5 A. ] V if tnow>=tset-0.01* g& s7 J6 k! g; X0 ]3 J i
mu=1;
7 L s. f' ^8 \ dmu=0;/ y1 o- a# [- Q, r8 ]$ R( L: @) n
dmu2 = 0;7 \0 `! G9 Z- e/ n! _; x I
else) Z1 x( N% i X9 Y3 B* d" V! y
mu=(Tset/(Tset-tnow))^hh;6 W9 d: r! m! M# D
dmu=(hh/Tset)*(mu^(1+1/hh));- `2 ]. w: h9 w( e8 u1 K* r* p7 ?
dmu2 = hh*(hh+1)/(Tset^2)*(((Tset^hh)/((Tset-tnow)^hh))^((hh+2)/(hh)));2 v: N+ p1 r( s* V3 m
end
: L2 W/ u0 L6 K: {- A
+ P* Q: i: v) S) t" t) ~+ N0 x X0(1,i+1)=h*(sin(tnow))+X0(1,i);/ F8 I/ j. g" W. k) ?
V0(1,i+1)=h*(cos(tnow))+V0(1,i);
* ]$ A1 O3 i4 E! @3 { U0(1,i)=-sin(tnow);# U; E) P$ ~3 V7 H2 \$ F; B: O
l1=[1,1,1,1]';1 [5 }$ w- P V# o
. D4 Y7 k; z7 A G! ~
E1(:,i)=M*(X(:,i)-l1*X0(1,i));+ B( S& t1 Y' ?% @) \7 Q
( b, @+ e6 G0 d* p2 ]& e
E2(:,i)=M*(V(:,i)-l1*V0(1,i));: W8 y! G& c. G" K0 t
; d9 j" T3 a: p" Q0 v ]. i; D
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)];
* S2 I2 F( B0 h# [9 i! i, v 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));8 K0 ?% D0 Q' h
' H$ U+ M. o9 g$ H6 q5 m
X(:,i+1)=h*V(:,i)+X(:,i);" q' N& { \5 B5 l" w
" _% c& u% m0 F7 A) F/ z/ i- f. O V(:,i+1)=h*U(:,i)+V(:,i);
' X$ w, S# k! e3 j. g i
: H7 W# F% D) p# Uend, e4 m' G/ F" `; {
& j+ ^& A9 u P- l# Q%%%作图%%%
' a% k/ a+ _8 Y* V% g3 H3 }t=linspace(0,T,N+1);, V/ `+ ?/ U) `' @; B* l
& h9 f: c1 b1 p$ c
figure(1)8 {% Z0 @/ j: U0 [3 u: R* x2 v
plot(t,X(1, ,'linewidth',2);9 @7 D7 {& Y- I2 e# n0 U3 I+ B! `
hold on;
6 V9 c0 e. o; w" a1 D: L( qplot(t,X(2, ,'linewidth',2);1 G8 l5 g/ U5 }6 ~
hold on;- F L b! g. w- x. ` F
plot(t,X(3, ,'linewidth',2);
3 E; } [0 F( x: q' a- }hold on;
6 `1 ?; N6 ?% |plot(t,X(4,:),'linewidth',2);
; A: b6 O I& G0 E+ z/ Y- Chold on;* _. h- _% G& h8 R1 Z
plot(t,X0(1,:),'linewidth',2); |9 l( K$ d7 h" Z! z! m
hold on;8 }5 V" I4 U* d; |$ n
grid on;
$ C6 Y/ o8 w0 T2 `0 waxis([0 20 -30 30])
. k1 L# _( ?* B' a9 tlegend('X1','X2','X3','X4','X0');
- y4 t% w+ y% ntitle('X')% a/ E" U0 k5 a/ m! o0 }
2 _, {$ Y9 y; r/ p dfigure(2)# I2 X" e# X( g
plot(t,V(1,:),'linewidth',2);
' V# `6 k0 _2 u2 v# M6 a( yhold on;/ v( n" _; `" L P
plot(t,V(2,:),'linewidth',2);9 b! @5 T0 `; f% k( x
hold on;
' ~8 E, @+ K ?8 F eplot(t,V(3,:),'linewidth',2);
: \3 Y+ h. T: V0 w3 ohold on;
, d! T" C& r6 L" c. i% ^! J y) Oplot(t,V(4,:),'linewidth',2);
1 J% C+ ^- C, H: O: M1 rhold on;# {9 G7 f. Z, d0 n6 | m. U- H/ u
plot(t,V0(1,:),'linewidth',2);5 f" t: {( A4 E1 S _$ H( X# }, R* j
hold on;
; A0 E+ I$ ]! K0 N1 C7 q& \4 Lgrid on;3 V3 }0 G$ S/ M9 O" j) n
legend('V1','V2','V3','V4','V0');
( `% x' F. K9 n% Z, ftitle('V')& } ^0 j& y* o$ S7 o4 d$ r- C( K
# A7 W. E7 P) ~ A7 q3 wfigure(3)# e7 A. ~: ]& a; v+ G5 J: P1 h4 }4 N
plot(t,E1(1,:));
$ Q4 t! ]! e p6 ^+ \hold on;* z% Z8 w- Y# X7 y1 [
plot(t,E1(2,:));! l- X; d8 z$ B% ^5 D
hold on;* s0 O& c( I2 @3 h) d% |8 W0 q
plot(t,E1(3,:));0 |! G9 `( P. L" n w0 t+ S
hold on;8 N9 V. m' G# v2 \, Z3 e
plot(t,E1(4,:));
; ~. Z: e4 x2 }hold on;
" J% Z) [+ P; zgrid on;* E. ]) L* N9 V2 |! [8 i
title('EX')
6 L N1 y: v6 X3 R; G+ x3 d' i% c3 Z7 Z/ `( Q$ j0 e
figure(4)& Y8 C- W) p' X, R
plot(t,E2(1,:));
: W6 v; G7 f- x# Z, ~hold on;
6 B! c' h# |& [. fplot(t,E2(2,:));. O# t3 P$ X2 m) y
hold on;
* J' A8 g J1 n) Qplot(t,E2(3,:));
3 z* m# U. \! z S; a6 a+ Mhold on;- [' M/ H E* `
plot(t,E2(4,:)); z/ n/ z- a( c8 P
hold on;" x2 ^+ g5 ?! |1 o4 _
grid on;
& S/ a/ K: I- w! r* ztitle('EV'); D' a0 b: e3 @. ?3 z
1 V# T7 ?5 Z% dfigure(5)4 E: P4 P( H; N; T% i {
plot(t,U(1,:));
5 N# t7 l: e( d0 {. @% ~8 whold on;
7 f8 ?) Z2 p' Bplot(t,U(2,:));
* ~3 x. e* H2 W {hold on;
! T. j) I( m1 }4 ^, wplot(t,U(3,:));
/ ~- w2 \7 ~* e* }7 uhold on;
" o1 p; L. a# ^2 Q7 Eplot(t,U(4,:));
- H1 Z1 f' ^1 F- Mhold on;, G/ z) D! m, n2 U" D5 S6 N
grid on;
- {; `+ _) G7 c. atitle('U') |
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