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为啥矩阵乘法显示矩阵乘法维度不正确?是什么原因?代码如下:+ X# u& S2 A& a* P! |. B9 R X4 \
, v. m7 I) Z" M+ ~0 Gfunction sys = mdlDerivatives( t,x,u)
9 B! n% y7 j& U1 w6 Hglobal uc ur2 V7 Q0 H! S: t5 p
yd1 = u(1);
- B/ {1 W8 H! J7 S* f) H# }yd2 = u(2);2 U5 ^; G: I3 Q$ v# l1 p
dyd1 = cos(t);
7 K9 H5 _/ _ l4 A! gdyd2 = cos(t); C) `" |4 [# r4 S9 M# g& c
ddyd1 =- sin(t) ;
4 e- i3 @, o8 d/ u6 bddyd2 =- sin(t);" e1 u: x$ q! z" }
x1= u(3);x2= u(4);/ ~3 v( z1 x) R6 {# `' o7 b
x3 = u(5);x4 = u(6);
2 J; _) e* z6 P( g! We1 = yd1 - x1;$ p4 H' K+ Y4 k
e2 = yd2 - x3;3 ~3 m0 a' E0 F4 Q
de1 = dyd1 - x2;2 l; B+ L$ F. l% }4 ?; C: o
de2 = dyd2 - x4;5 g" m6 D+ |; X$ p t
nmn1 = 20 ; nmn2 = 20 ;
+ C6 g- I1 v7 w/ hbeta11 = nmn1 ;beta21 = nmn2;9 ?2 r* ?& y0 @) x v! G
K0 = 15 *eye(2);
, o$ t' P3 v/ c4 Dv1 = ddyd1 + beta11 * de1;
4 j5 j# U6 k3 f k2 X* l) e* }v2 = ddyd2 + beta21 * de2 ;
' p4 ~: q/ N% G/ u$ Ev=[v1 v2]';: v" A; R; I3 s0 P6 H/ Z: ~
s1=de1+nmn1*e1;' b5 R' p* `+ i" p9 A2 Q l" b
s2=de2+nmn2*e2;
; Y* C0 P L0 n. ~# u8 C: Ys=[s1 s2]';
8 C6 \' c. C; q" g% [% Contro1 1aw(26)2 O. t: s( a( \; e# K
epO = 0.1;9 S3 X; y9 E9 V( M8 |( n* ^
Ip= eye(2);/ J1 M/ L- ^2 j' `3 W
rou0 = 0.2;, R- B) w- `# b! z: \, f
u1(1) = exp( -1/2* ((x(1) +1.25)/0.6)^2);0 C8 C4 Q: T2 k: T2 q
u1(2) = exp( -1/2 * (x(1)/0.6)^2);
( y! T. }0 B/ |$ j9 Pu1(3) = exp( - 1/2 * ((x(1)-1.25)/0.6)^2);& O) Y1 X/ d) D9 }% j
u2(1) =exp( - 1/2* ((x(2) + 1.25)/0.6)^2) ;
5 E' |& \" P p& f( q5 ku2(2) = exp( - 1/2 * (x(2)/0.6)*2) ;( ^6 G. q! f- X9 [8 {+ t4 y0 X2 L
u2(3) =exp( - 1/2* ((x(2) - 1.25)/0.6)*2) ;: j ?2 s: z8 B d5 H. |
u3(1) =exp( -1/2* ((x(3) + 1.25)/0.6)^2) ;$ h5 y* N, E2 Y, A: i6 a6 F. Y9 a
u3(2) = exp( - 1/2 *(x(3)/0.6)^2) ;
4 N9 z( V+ p _2 m: L7 Q3 @% R' J9 B: lu3(3) =exp( -1/2* ((x(3)-1.25)/0.6)^2);4 V0 T% q0 j, I% W& A q
u4(1) =exp( - 1/2* ((x(4) + 1.25)/0.6)^2) ;
# ?' V7 _4 M3 Y. Du4(2) = exp( - 1/2 * (x(4)/0.6)^2);9 N8 g3 ?# r4 b; v. i
u4(3) = exp( -1/2* ((x(4)-1.25)/0.6)^2) ;' v# |2 V; i* ~9 M, G
FS1 =0;
- W+ F8 A9 b- Y2 x5 j! oFS2 = zeros(3^4,1);
# b' C* }' v3 K. y) @# A' ~for L1= 1:3
9 S# m! v+ C/ S9 b& A! d- _) B for L2 = 1:3! d& Q" B% S% Z1 ]
for L3 = 1:3/ m) {* Q% g" c! ]' q" _/ M
for L4 = 1:33 S7 T7 }( v7 D
FS2(3^3 *(L1-1) + 3^2 *(L2 - 1) + 3*(L3 - 1) + L4) = u1(L1) * u2(L2) * u3(L3) *u4(L4);7 T( y' e$ o- M2 i6 i4 i- Z
FS1= FS1+ u1(L1) * u2(L2)* u3(L3) * u4(L4);2 g( L! \8 t. Q( W
end
- W P" L3 _5 w: q& b9 M end
- A/ y& A- _. W9 u5 c end) h* c3 Z9 L8 R n) \" u
end+ p' P0 j T( z$ A
FS=FS2/FS1;
: ]0 @# t, ^. Q" u2 U, Mw_f1 = FS;w_f2 = FS;, K r) W5 t5 E) Y- m; o' @/ ?
w_g11 = FS;w_g12 = FS;
) A+ B* G1 Q0 u. _' K' gw_g21 = FS;w_g22 = FS;
( x" c3 b. e( v% Z- i. v5 dthtaf1 = x(1:3^4);% U9 N+ O, n4 Y3 [7 F/ P2 ^, H1 c
thtaf2 = x(3^4 + 1:3^4 *2);9 r3 z% b; N0 `5 ]2 c
thtag11 = x(3^4 * 2 + 1:3^4 * 3 ); - V' B- ~. Y( k! Q2 F& s' b
thtag12 = x(3^4 * 3 + 1:3^4 * 4);) b- }' k/ @4 `' |8 z
thtag21 = x(3^4*4 + 1:3^4 * 5);
O0 I: R0 B2 s2 Vthtag22 = x(3^4*5 + 1:3^4* 6);% u6 V( Q/ K$ E, C$ l
f1 = w_f1'*thtaf1 ; $ Y2 }* q- y- o& r9 W4 A+ |
f2 = w_f2'*thtaf2;
+ j/ |8 J/ F" y6 tg11 = w_g11'*thtag11;
$ I+ Z3 w. t2 A( F8 Ig12 = w_g12'*thtag12; % x( Q7 x2 |# Y& r
g21 = w_g21 *thtag21 ;
0 ]8 S9 U: {$ r$ [g22 = w_g22 *thtag22 ;
' ?$ d0 ]! U$ {9 o# qep_f = x(3^4 *6 +1:3^4 *6 +2) ;
9 {! f: o# E" n6 d3 G: L/ C4 x; fep_g11 = x(6*3^4 + 3);" c! P8 ?0 q: Z: E( I
ep_g12 = x(6 * 3*4 + 4);
; m4 c8 `1 U. l0 Wep_g21 = x(6 * 3*4 + 5) ;2 f" S% l+ X& f' g
ep_g22 = x(6 * 3*4 + 6);
( F, x. p+ W5 S& T; yep_g = [ep_g11 ep_g12 ; ep_g21 ep_g22];
& z8 ]8 F0 H. m7 E/ _! b6 V2 }% z% mep_u = x( 3^4 * 6 + 7); ) s1 G8 d a, B9 e! y. A) c6 w% e* ^
delta = x(3^4* 6 + 8);
k: ^' t; s$ F. TF= [f1 f2]';
3 h% X. E: q& c/ m" D7 qG= [g11 g12;g21 g22];
4 y! D# ^, h6 A" Rk1 = 20;
$ A" c9 @$ z+ r) v% Huc = G'*inv(ep0 *Ip + G*G')*(-F + v+K0*s+ k1*G*s);# n, U8 A4 |6 _3 t
uO = epO*inv(epO * Ip + G*G') * (-F + v + K0*s + k1*G*s);+ Y2 J& l. \3 C0 N F5 r5 K8 G
ur = s * abs(s') * (ep_f + ep_g * abs(uc) + ep_u' * abs(u0))/(norm(s)^2 + de1ta);) \* N1 Z2 j( Q* Z) Y
xite_f1= 0.5; ) v1 E/ @/ `7 @, _$ j& d% M
xite_f2 = 0.5;
# W+ u# K4 d, H% X4 N6 Axite_g11 = 0.5;
E9 W y5 O4 ]4 pxite_g12 = 0.5;$ P: o) W4 q# D5 L8 A# U
xite_g21 = 0.5;
P _" \5 r$ x4 E3 Qxite_g22 = 0.5; {+ `% K. B# i5 I- i% @/ P
xite0 = 0.001;% c" W( S8 Q7 e6 N5 d0 W. t
%F- P) [8 v( z' M7 u% R
for i = 1:1:3^4
% a1 J. h6 `2 f& M5 @/ y- p! L sys(i) =- xite_f1 * w_f1(i) * s(1);# @3 E& `3 o: T: i( z$ J& L: c1 U
end
3 O9 z; w c [' k% O4 G Rfor i= 3^4 + 1:1:2*3^4 |; b- D3 u( D- d/ Z
sys(i)=-xite_f2 * w_f2(i-3^4) * s(2);
& \9 C; z/ N8 X" A! C: {& Q9 A- Mend2 r/ d; _$ u a Z
%G6 ? h$ k8 Z8 c4 j% f* L
for i=2*3^4+1:1:3*3^4
Y q2 G& e# v sys( i) =- xite_g11*w^g11(i-2*3^4) * s(1)*(uc(1) - k1*s(1));* m; D& d6 F, q9 ]0 }+ \
end
E! O8 h5 w6 R$ jfor i = 3*3^4 + 1:1:4*3^4# o& Q' N' t h; o
sys(i) =- xite_g12 * w_g12(i-3*3^4) * s(1) * (uc(2)-k1*s(2));
- Z# J( z1 I0 Z3 w5 L M+ send7 G6 J& k, y* v# G- C
for i = 4*3^4 + 1:1:5*3^4
* e1 e3 ^ q- m8 R: v& ~- g% _ sys(i) =-xite_g21*w_g21(i - 4*3^4) * s(2) * (uc(1) - k1*s(1));' c. @2 A. R) Z- D7 ?8 n
end$ j& m. [) c0 y* {# C! @
for i=5*3^4 + 1:1:6*3^4- K/ M y( V$ g) z; ]- m
sys(i) =- xite_g22 * w_g22(i - 5 *3^4) * s(2) * (uc(2) - k1*s(2));8 n+ ]: ?2 U! q1 @" b- l
end9 R% l0 v! R3 O
gama0 = 0.001;
% m$ M% \- R4 J( S" _* w3 ~! R. [* i
7 q' H3 @6 |2 I5 V+ Ssys(6 * 3^4 + 1) = gama0*(abs(s(1))) ; % ep_f1
* _5 r3 t7 n; j# j5 Y# Qsys(6 * 3^4 + 2) = gama0* (abs(s(2)));% ep_f2
2 U1 y+ Q4 E& h%ep_g
0 d' d! D8 C8 o, n( ysys(6 *3^4 + 3) = gama0 * (abs(s(1))) * abs(uc(1) ); % ep_g1 1
0 u: ?! e9 m5 O% l0 Z0 Asys(6 * 3^4 + 4)= gama0 * (abs(s(1))) * abs(uc(2)) ; % ep_g12$ r% o# m' {1 }2 |" L
sys(6 * 3^4 + 5)= gama0 * (abs(s(2))) * abs(uc(1)) ; % ep_g21, G% g$ n) w; C( r
sys(6 * 3^4 + 6)= gama0 * (abs(s(2))) * abs(uc(2)) ; % ep_g22$ B; Z) ~3 w( }& r8 d0 h
% ep_u
, k" g3 I& z1 w2 k: R8 j! A7 r7 o( Fsys(6 * 3^4 + 7) = gama0*(abs(s')) *abs(u0);1 U9 H* i0 L0 m
% de1ta
. G2 Z9 O& c1 ~4 Msys(6 * 3^4 + 8) =- xite0* (abs(s') * (ep_f + ep_g * abs(uc) + ep_u' *abs(uO)))/(norm(s)^2 + de1ta) ;
/ R; p* J$ ~+ J) S- U- wfunction sys = mdlOutputs(t,x,u)
# E0 w9 c! L" {global uc ur
$ ^0 i2 t9 W+ M0 Bif t == 0
; L+ s; V2 P9 Xuc = zeros(2,1);% @: N+ ^6 ^+ f7 h
ur = zeros(2,1);
$ ` r) t9 m/ uend' a0 Z% V' Q1 D6 M \% G: A- z
ut = uc + ur;4 w6 P: O$ d: x/ }2 ^* ^" K
sys(1) = ut(1);* |( ]$ i% _3 f( w0 C C
sys(2)=ut(2);
2 Q$ \6 t7 m2 _5 ]+ D |
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