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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:
* j- w1 R5 ]6 u% z
( f6 ~7 R3 P% b! g) bfunction sys = mdlDerivatives( t,x,u)& o" a; J# K- A8 m9 H
global uc ur
2 G4 D7 C x/ P/ S& [yd1 = u(1);1 Q# v- {* a1 N# t* E
yd2 = u(2);
$ ?3 X( `* A- fdyd1 = cos(t);/ e1 h- _2 `* ^0 p# q. c) p1 p3 w. x7 Z
dyd2 = cos(t);
) s8 G: R. ~1 Q: e5 ?/ h" {ddyd1 =- sin(t) ;6 A6 _& X& a& g! T9 `. Z
ddyd2 =- sin(t);) T1 B' L# @+ T1 T+ X/ U' \1 G6 c
x1= u(3);x2= u(4);
+ h! Q- C+ o& x3 I1 t( ux3 = u(5);x4 = u(6);
8 b' R! E# N* d$ Ce1 = yd1 - x1;
" Y& s, N" n8 [# d/ c1 ze2 = yd2 - x3;
# q) N4 A( b& ~: H8 d; E. Ide1 = dyd1 - x2;, s1 `# _. {. Z# N% `
de2 = dyd2 - x4;: `" U% D. y4 c8 q" m
nmn1 = 20 ; nmn2 = 20 ;
( Y- Y- I$ @! n, fbeta11 = nmn1 ;beta21 = nmn2;0 f. ~! I3 {4 K3 a
K0 = 15 *eye(2);' t3 G- f( ^4 S2 |9 P7 n8 I
v1 = ddyd1 + beta11 * de1;2 h9 O; s8 J5 k8 T" Y* C1 m' Z
v2 = ddyd2 + beta21 * de2 ;
5 _: u: [0 F$ jv=[v1 v2]';9 b* g& n( n/ ^4 @. }5 }
s1=de1+nmn1*e1;
' c5 g9 Y( X' ^2 I" Es2=de2+nmn2*e2;# {7 c* x! c. t7 e% o# d' T' X
s=[s1 s2]';
/ }6 q c" O3 k( \+ u' G( U- \0 m% Contro1 1aw(26)
9 M P) _( f* Z/ ~5 p4 c/ YepO = 0.1;; u0 p b% v5 l2 D6 Y8 t6 I
Ip= eye(2);
5 ^0 K) |7 w* ^% J% z7 ~* Wrou0 = 0.2;: O0 G P7 @' `& l1 r" e; {& D
u1(1) = exp( -1/2* ((x(1) +1.25)/0.6)^2);
) y: U( }. Y3 W6 iu1(2) = exp( -1/2 * (x(1)/0.6)^2);
* s4 `+ G6 t3 @! d: q7 W* h |# Zu1(3) = exp( - 1/2 * ((x(1)-1.25)/0.6)^2);+ s" r" P9 S, B4 Y+ m8 @
u2(1) =exp( - 1/2* ((x(2) + 1.25)/0.6)^2) ;0 o5 H R2 J( I% e
u2(2) = exp( - 1/2 * (x(2)/0.6)*2) ;
; @' E) M# T$ G6 ~4 G1 {- m2 v$ Mu2(3) =exp( - 1/2* ((x(2) - 1.25)/0.6)*2) ;
9 ~2 H6 Q. U; ~# x% _/ }u3(1) =exp( -1/2* ((x(3) + 1.25)/0.6)^2) ;
1 d: X/ x: y: H3 p* ju3(2) = exp( - 1/2 *(x(3)/0.6)^2) ; M6 J2 a, u3 s1 J
u3(3) =exp( -1/2* ((x(3)-1.25)/0.6)^2);; Z1 _1 h: c# F7 }# H
u4(1) =exp( - 1/2* ((x(4) + 1.25)/0.6)^2) ;
) _% X- Y! ~4 _3 eu4(2) = exp( - 1/2 * (x(4)/0.6)^2);+ m* }' ]# ^: ^8 Y! e) W* Y
u4(3) = exp( -1/2* ((x(4)-1.25)/0.6)^2) ;: g8 ^5 d) K4 U1 E
FS1 =0;" _& |& | l1 F N
FS2 = zeros(3^4,1);
* m& n: B2 L& `0 I# Sfor L1= 1:3, m _ A5 \* n
for L2 = 1:3$ q/ z, t3 m) H+ g
for L3 = 1:3
; K( K! q: K" W# Y for L4 = 1:3
( M0 L3 `: Y8 `8 l FS2(3^3 *(L1-1) + 3^2 *(L2 - 1) + 3*(L3 - 1) + L4) = u1(L1) * u2(L2) * u3(L3) *u4(L4);
% t' @. B' F3 \: B$ Z& l4 u FS1= FS1+ u1(L1) * u2(L2)* u3(L3) * u4(L4);
. m* d, j1 }, ` end7 T2 y# _2 K7 \, ]8 d9 g+ Y; m+ ?
end$ x* [" L+ h% r+ a6 G2 b0 j
end
1 @+ {' P( V& fend
7 ]2 W5 B) p9 m& _$ R. }$ l1 iFS=FS2/FS1;
6 W0 }, F5 r( k; {7 m* }% |5 Pw_f1 = FS;w_f2 = FS;
$ w- n4 X- I" e Y' \$ F5 Xw_g11 = FS;w_g12 = FS;
" k7 k8 t, U, n* B( W) X) Aw_g21 = FS;w_g22 = FS;
X- c& {! r9 A% c& x0 Y9 k2 J& \thtaf1 = x(1:3^4);
+ m8 m1 Y( ^) m$ bthtaf2 = x(3^4 + 1:3^4 *2);$ e+ a: k- c0 P! l4 ], i
thtag11 = x(3^4 * 2 + 1:3^4 * 3 );
5 s% P2 u( ^3 ^3 k6 T Wthtag12 = x(3^4 * 3 + 1:3^4 * 4);4 i8 z1 O! y. I0 @* E2 x* G: W
thtag21 = x(3^4*4 + 1:3^4 * 5); , |1 B, e) t+ r
thtag22 = x(3^4*5 + 1:3^4* 6);9 t4 ^4 ?3 m- y4 L9 Y$ A
f1 = w_f1'*thtaf1 ;
% N) z* \. y# t* {$ B! s% Yf2 = w_f2'*thtaf2;
8 p/ U0 r$ E/ G8 E$ M: d- [+ R7 i" H' Vg11 = w_g11'*thtag11;: [$ F( i0 i; g8 o' ~5 p, X
g12 = w_g12'*thtag12;
' u% D/ i8 ?" ~3 H9 M; P" X$ N& Rg21 = w_g21 *thtag21 ;
6 {* g m" ?; e3 ag22 = w_g22 *thtag22 ;: n' e7 z9 [& e# A5 M+ n* {3 Z( a7 m
ep_f = x(3^4 *6 +1:3^4 *6 +2) ;0 H2 L) \& Z" L. ?
ep_g11 = x(6*3^4 + 3);
4 y* q5 u; k1 T4 w; cep_g12 = x(6 * 3*4 + 4);
5 l. ]9 a$ H+ t. A: dep_g21 = x(6 * 3*4 + 5) ;
: s0 d' R6 Q' u9 A% _6 v$ Nep_g22 = x(6 * 3*4 + 6);
2 h; d Q) O3 |2 \. `7 _+ ^ep_g = [ep_g11 ep_g12 ; ep_g21 ep_g22];" D0 k. u( c- v, ]: k+ U+ j$ H
ep_u = x( 3^4 * 6 + 7);
}3 {. Z9 b7 @" ^4 ndelta = x(3^4* 6 + 8);
2 i- K; x0 |5 p0 C9 z7 _$ H) K4 s) YF= [f1 f2]';
0 j8 L w1 ~* B9 {G= [g11 g12;g21 g22];
( L: M7 {$ Z7 v6 O$ x. T- S( Xk1 = 20;
9 ^( ^( C2 c( b2 u- `uc = G'*inv(ep0 *Ip + G*G')*(-F + v+K0*s+ k1*G*s);' D1 d2 X: Y- e3 d
uO = epO*inv(epO * Ip + G*G') * (-F + v + K0*s + k1*G*s);6 I+ T' H, Z6 C2 Q+ ?% I7 Y1 Z
ur = s * abs(s') * (ep_f + ep_g * abs(uc) + ep_u' * abs(u0))/(norm(s)^2 + de1ta);
! A6 Z8 l5 y' \1 X- b: Dxite_f1= 0.5; 3 e' d" A. n% \: u) s @1 [, f
xite_f2 = 0.5;
# Z/ Q+ y1 p' K; k( o$ i9 i( e6 Vxite_g11 = 0.5;
$ T% _8 T+ E) o v! Oxite_g12 = 0.5;
( f, D6 U+ M; M2 I0 P, Axite_g21 = 0.5;
1 W5 j, X) @6 Uxite_g22 = 0.5;
4 s2 G6 i0 L+ ]xite0 = 0.001;6 ^' ^/ A- y) t/ }# ~/ K- r
%F, C, A% Q" ^$ O- b
for i = 1:1:3^4
6 x/ `0 j9 K" B' \, f! k! u sys(i) =- xite_f1 * w_f1(i) * s(1);( E! l/ i1 `7 D9 o) C9 d
end( R; V) T! W3 b6 y" ?
for i= 3^4 + 1:1:2*3^4$ X4 n. ?' `) a$ \* W
sys(i)=-xite_f2 * w_f2(i-3^4) * s(2);, ^' G7 s4 ^& _& |
end
2 T% Z/ B* X' W7 N! x# V9 w0 s% _% X%G
5 D% k' b5 w; _3 t" Rfor i=2*3^4+1:1:3*3^4: B( Z$ n6 }( k* n! ^2 X3 E& Z$ D
sys( i) =- xite_g11*w^g11(i-2*3^4) * s(1)*(uc(1) - k1*s(1));
+ `5 J/ v( E3 E% T- n0 Jend# [( ]9 W+ _/ k; l- I6 @' k
for i = 3*3^4 + 1:1:4*3^4/ P7 F5 ?$ \6 t5 T, V
sys(i) =- xite_g12 * w_g12(i-3*3^4) * s(1) * (uc(2)-k1*s(2));
8 k3 t1 N* d0 B A+ D. Z1 pend
0 ~0 n r; Y' I. z9 y Dfor i = 4*3^4 + 1:1:5*3^44 s% A2 O1 U' d. y5 |. i
sys(i) =-xite_g21*w_g21(i - 4*3^4) * s(2) * (uc(1) - k1*s(1));) z9 i2 ~$ {2 b r0 m+ U! j
end
: L( O) m! B# ~' N7 g, Bfor i=5*3^4 + 1:1:6*3^48 v3 {" m$ X+ Y( s ~
sys(i) =- xite_g22 * w_g22(i - 5 *3^4) * s(2) * (uc(2) - k1*s(2));. M! B% c w: R7 X/ V8 O5 R
end+ |% F3 z3 r! @) D0 e
gama0 = 0.001;
2 R1 P$ Q% ?; `' ]9 s8 q* y7 I' R, k' }/ r3 y2 }# o4 q
sys(6 * 3^4 + 1) = gama0*(abs(s(1))) ; % ep_f1+ ]8 J; d: {( l# \# c
sys(6 * 3^4 + 2) = gama0* (abs(s(2)));% ep_f2
. q2 j' j; k! @' A h%ep_g
. y( Q0 {# C9 F& msys(6 *3^4 + 3) = gama0 * (abs(s(1))) * abs(uc(1) ); % ep_g1 15 B( w/ Y3 u z4 _3 k, N
sys(6 * 3^4 + 4)= gama0 * (abs(s(1))) * abs(uc(2)) ; % ep_g12
5 F! a! f# L% V: Q- v# \sys(6 * 3^4 + 5)= gama0 * (abs(s(2))) * abs(uc(1)) ; % ep_g21- o2 P3 j8 X% {9 W
sys(6 * 3^4 + 6)= gama0 * (abs(s(2))) * abs(uc(2)) ; % ep_g22
. s9 s* r- P1 Z- [% ep_u
/ v* R; O6 Y( v: Xsys(6 * 3^4 + 7) = gama0*(abs(s')) *abs(u0);
; t, R+ J- K" n7 Y1 O. O% de1ta
$ H5 \/ [$ y2 }! \5 Asys(6 * 3^4 + 8) =- xite0* (abs(s') * (ep_f + ep_g * abs(uc) + ep_u' *abs(uO)))/(norm(s)^2 + de1ta) ;2 v2 @: I& w# u; l
function sys = mdlOutputs(t,x,u)8 B' t7 o, r1 I( Y
global uc ur
( n' Y& m" W C. Wif t == 04 i7 _1 O0 D( m4 O- W! K
uc = zeros(2,1);% q1 }- k2 `! a. p8 G+ o
ur = zeros(2,1);
) i9 q# m/ \! B, [% B+ Iend
7 ~4 t. _1 I8 A" a/ r2 Out = uc + ur;9 G1 \' ^2 X$ W" F" r9 G1 T/ }
sys(1) = ut(1);4 Q K" p/ [$ Y+ q- B; n# V" d# A
sys(2)=ut(2);" K D' ]% F V8 ]. L; A* F4 z' Z' r
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