|
|
EDA365欢迎您登录!
您需要 登录 才可以下载或查看,没有帐号?注册
x
我的代码如下:
8 C9 H$ M: `2 C: B/ K2 r7 Dclose all; N2 V5 c- i5 l8 i8 v
clear all;8 }# C: W7 a# S2 e) b7 a/ Y6 ^2 k; M) }
L=1; EI=5; T=2; rho=2; M=6;. n) q \: P. |* [" {* v( L
nt=80000; nx=20; tf=15; Ttr=50;; Y7 M& _9 \+ D+ {+ V
dx=L/nx; dt=tf/nt;
5 C* W. s- ~$ S4 A( ^x = linspace(0,L,nx+1); t_tr = linspace(0,tf,Ttr+1);
y6 @) l! J6 T+ @+ j( bw=zeros(nx+1,nt+1);
7 k) q( y0 a7 Y/ c/ Z4 Ew3D_free=zeros(Ttr+1,nx+1);
5 ]1 i1 S3 j1 W. ad=zeros(nt+1,1);$ V' S+ [+ @5 O/ ^/ W
for j=1:nt+1
' `) B4 u0 B! f' d. q/ a d(j) = 1 + sin(2*pi*(j-1)*dt) + cos(3*pi*(j-1)*dt) ;
5 [5 R) \0 \8 P' }' ^$ U- m o- b) E2 @end5 n! `$ D; x; b3 Z0 V" y& H3 a. e
Br=90;Bl=-90;k=100;k1=1;k2=4;r=1;m=1;
" x' S' @: v+ |0 V" [! aw=zeros(nx+1,nt+1); w3D_model=zeros(Ttr+1,nx+1);7 Z$ p% e7 Z, |7 y% }9 ]
u_model=zeros(nt+1,1);u3D_model=zeros(Ttr+1,1);
+ @$ Y1 }: B; y$ V; }ua=zeros(nt+1,1); d_estimate=zeros(nt+1,1);
; G, d* _3 w3 A, H0 l4 e. Bd1=zeros(nt+1,1);/ K5 X' Q0 s/ P: x. N* Z8 s, b
dbar=max(abs(d));9 v$ _3 }6 U3 K7 D
d_estimate(1:2)= dbar;" c( B0 \. z4 o* I3 k
for i=1:nx+1
- G- e5 k3 i8 Z2 P. r/ m/ W3 d. h0 H w(i,1)=(i-1)*dx;- Q3 ~, A, B; G: m* p- J
w(i,2)=w(i,1);, o- z; _/ I6 b& r- Z
end' S. D2 J& K4 c ^4 q# X s
w(1, =0;w(2, =w(1, ;
. n5 P7 |2 }, Q% o0 V/ Dw3D_model(1,:)=w(:,1);w3D_model(2,:)=w(:,2);' t! ^6 P1 [ _, G* T
for j=3:nt+1& q8 v V6 O# U' M0 q$ J
for i=3:nx-1
; u' m, A1 s, f3 b/ `/ q$ w wxx=(w(i+1,j-1)-2*w(i,j-1)+w(i-1,j-1))/dx^2;9 U' q/ Q8 j; q8 t- X
wxxxx=(w(i+2,j-1)-4*w(i+1,j-1)+6*w(i,j-1)-4*w(i-1,j-1)+w(i-2,j-1))/dx^4;# D: L8 I% N2 D# S" k0 E; ]4 q
w(i,j)=2*w(i,j-1)-w(i,j-2)+(T*wxx-EI*wxxxx)*dt^2/rho;
2 r# i ~3 i5 H! X+ p end
- n R/ `' o Z3 c |% g
* t: U5 U8 |9 O7 L, s wxl=(w(nx+1,j-1)-w(nx,j-1))/dx;
9 I6 j6 a$ o C* a wxxxl=(w(nx+1,j-1)-3*w(nx,j-1)+3*w(nx-1,j-1)-w(nx-2,j-1))/dx^3;# K5 ]- n# S1 y/ J; P
wxxxtl=(w(nx+1,j-1)-3*w(nx,j-1)+3*w(nx-1,j-1)-w(nx-2,j-1)-w(nx+1,j-2)+3*w(nx,j-2)-3*w(nx-1,j-2)+w(nx-2,j-2))/(dt*dx^3);; H0 h. Y2 ]3 S5 i# P! F
wxtl=(w(nx+1,j-1)-w(nx,j-1)-w(nx+1,j-2)+w(nx,j-2))/(dx*dt);
7 ^, F1 v1 V# p( Q/ j wtl=(w(nx+1,j-1)-w(nx+1,j-2))/dt;
9 v/ \, N0 O7 I7 b ua(j)=wtl+k1*wxl-k2*wxxxl;
/ j3 K+ a4 o- I" S d_estimate(j)= (abs(ua(j))+d_estimate(j-1))/(1+r*dt);, b' s, ?+ R" x
u_model(j)= (-EI*wxxxl+T*wxl-k1*M*wxtl+k2*M*wxxxtl-k*ua(j)-sign(ua(j))*d_estimate(j))/m;+ K2 v; h) E0 |3 ]/ [
dv=(u_model(j)-u_model(j-1))/dt;7 F$ V- o8 v, r
if dv>0: R% u$ ^$ P+ C: v+ c4 g% O
d0=-m*Br;
3 w; L) p4 O5 R2 E! W else
8 ~& L' ], E+ S& P# v d0=-m*Bl;5 s, K' y- T L! Z- ?
end* D& n3 R; }1 [$ V- ^# A7 q) n$ v; `
d1(j)=d0+d(j);
6 f/ v- s7 }0 L) {4 u. |2 r+ ` w(nx+1,j)=2*w(nx+1,j-1) - w(nx+1,j-2) + (m*u_model(j-1)+d1(j-1)+EI*wxxxl-T*wxl)*dt^2/M;
) o- W/ I5 F: d8 H7 s' N w(nx,j)=(w(nx+1,j)+w(nx-1,j))/2; n0 r8 t2 F L
if mod(j-1,(nt/Ttr))==0
. ?5 ?& Z" b; e! q. C w3D_model(1+(j-1)*Ttr/nt,:)=w(:,j);4 O9 ^. W+ h6 [6 [9 ^# }' w/ z
u3D_model(1+(j-1)*Ttr/nt)=u_model(j);
' E9 N" k# _6 a' W1 O3 h o4 f6 U end
; i+ F8 s" h4 _! ]. fend7 B5 M4 k ^& d" X
figure(1);
1 h# t0 p1 }/ V4 {suRF(x,t_tr,w3D_model);
6 u4 o$ R$ |8 a+ c4 d2 v2 }title('Displacement of beam with robust boundary control');! {- o4 G0 L5 M: p
ylabel('Time (s)','Fontsize',12);" r+ C8 Z$ n; W, ]0 ?; O2 n' w5 M
xlabel('x(m)','Fontsize',12);
7 l& x. Y8 |. k7 J8 R2 szlabel('w(x,t)(m)','Fontsize',12);
- X( G: }# R) s J1 |figure(2);' \6 X2 V( b7 j
plot(t_tr,u3D_model,'r')
r; s. g& |1 o8 N5 @; C& y* {xlabel('time');
; @: z9 Z+ s2 c: C+ eylabel('u');
1 [$ ^ U: A& S" c
5 a. y+ K$ O( `& u7 g3 A) S5 I6 A9 M; s4 H8 g! b) c
以上我的代码没出问题,但图像出不来,求助!
. \/ v/ v+ W: |* L4 D8 k& k |
|