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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:3 y/ g' E$ R) j W. r5 [/ k0 c
: z* j' N' r- H* l
function sys = mdlDerivatives( t,x,u). W0 ^8 D( {+ l
global uc ur
- e- N E) U/ Vyd1 = u(1);
9 U! |* x- C0 R$ ?+ W2 }yd2 = u(2);
+ t* F) D! l# m: @7 X! j. ydyd1 = cos(t);
: P e% Q4 ?# ^9 Edyd2 = cos(t);0 p. M$ Q- @6 o% L1 n7 Y- W+ X
ddyd1 =- sin(t) ;
% R/ X* l$ O {# S8 @ \" }ddyd2 =- sin(t);. @' u6 R$ Q3 ?3 F, x
x1= u(3);x2= u(4);* k: a# D7 a/ z+ U. Z- U
x3 = u(5);x4 = u(6);
: e/ a8 b g% u0 we1 = yd1 - x1;3 [- U! D' M9 c% Y
e2 = yd2 - x3;
1 E, _3 L! b' x5 P6 ]/ U" v; _de1 = dyd1 - x2;/ o1 y7 a$ d5 c4 X5 A2 f
de2 = dyd2 - x4;/ V3 O+ j' A1 q
nmn1 = 20 ; nmn2 = 20 ;
/ S' E; F! [6 ~: J" Z! z9 Ubeta11 = nmn1 ;beta21 = nmn2;' V; ]- P( F2 L5 P5 E2 e
K0 = 15 *eye(2);
2 ^1 \8 `& b+ ^ lv1 = ddyd1 + beta11 * de1;5 H) B1 z0 J: B+ v. {( D
v2 = ddyd2 + beta21 * de2 ;
9 v* l% w2 w& S; kv=[v1 v2]';
: K% }2 ^4 k) L9 R7 r5 O& A& _' Ds1=de1+nmn1*e1;0 P' T/ B- U5 I6 F
s2=de2+nmn2*e2;
0 y& l7 Z: n. ~+ a( Fs=[s1 s2]';
, D5 g4 B0 b! R7 _5 a% Contro1 1aw(26)
2 V, d: R( J! q2 M/ `6 lepO = 0.1;& W8 m! z" A- F0 h# @ z
Ip= eye(2);) n! S k7 K1 W) n
rou0 = 0.2;. F2 Q) N0 M/ ]8 c( x" A
u1(1) = exp( -1/2* ((x(1) +1.25)/0.6)^2);
- W' F7 |) l9 W) Y6 }9 Ku1(2) = exp( -1/2 * (x(1)/0.6)^2);! ]4 A. V9 J5 s4 h
u1(3) = exp( - 1/2 * ((x(1)-1.25)/0.6)^2);0 J) i& l) R+ R
u2(1) =exp( - 1/2* ((x(2) + 1.25)/0.6)^2) ;+ _* U G3 P* x a- y% D
u2(2) = exp( - 1/2 * (x(2)/0.6)*2) ;) L/ u+ Z5 L" r5 `; `& W
u2(3) =exp( - 1/2* ((x(2) - 1.25)/0.6)*2) ;* i1 P% I) R- w. U# S
u3(1) =exp( -1/2* ((x(3) + 1.25)/0.6)^2) ;. |, `+ {$ ^; v% v0 `- e5 j8 z
u3(2) = exp( - 1/2 *(x(3)/0.6)^2) ;! [0 Z% O9 m; Y) O
u3(3) =exp( -1/2* ((x(3)-1.25)/0.6)^2);
# q9 K& \4 u( b. o5 t7 J4 qu4(1) =exp( - 1/2* ((x(4) + 1.25)/0.6)^2) ;
; I+ k. U! Z6 [; k4 D- k0 L4 _u4(2) = exp( - 1/2 * (x(4)/0.6)^2);2 i8 S3 C; F. z& K% m. x6 i
u4(3) = exp( -1/2* ((x(4)-1.25)/0.6)^2) ;( s9 M" o, e: l y* W5 s
FS1 =0;
8 H1 P$ j t. C% u4 t* M& k' NFS2 = zeros(3^4,1);
# |4 h! }, H% I( sfor L1= 1:3
9 x' ~9 G1 I- r for L2 = 1:3
: P7 B$ @3 e- y) g: `7 { for L3 = 1:3" k' J9 S: L& J7 @/ }
for L4 = 1:3
1 ^2 z# h/ j9 C9 Z+ O0 Y5 K2 s FS2(3^3 *(L1-1) + 3^2 *(L2 - 1) + 3*(L3 - 1) + L4) = u1(L1) * u2(L2) * u3(L3) *u4(L4);& @ B- n. u9 U; T" m2 n
FS1= FS1+ u1(L1) * u2(L2)* u3(L3) * u4(L4);
- `3 U- h; L. l1 ~: U7 G; P0 p end" E/ t" d8 O$ k- r7 w$ w0 x
end$ F0 N! K- [+ h: F% q" c( g
end
0 Q4 y; Y+ M$ cend
: ]! L) ^2 a' R' uFS=FS2/FS1;
6 ~- |) I9 ^; m" n4 ~" N! w- t6 dw_f1 = FS;w_f2 = FS;6 K' Z3 b9 z* R
w_g11 = FS;w_g12 = FS;
- V* y8 v. n# v7 r" G! L5 m& p4 tw_g21 = FS;w_g22 = FS;
. [( M7 o# C$ C) y* A# _thtaf1 = x(1:3^4);
! r7 a8 B2 Q4 {7 {- T N! q7 Kthtaf2 = x(3^4 + 1:3^4 *2);
6 B- T, d# u% ?/ z) dthtag11 = x(3^4 * 2 + 1:3^4 * 3 ); 2 r# L* P) y2 x3 y
thtag12 = x(3^4 * 3 + 1:3^4 * 4);9 V+ I1 [$ B3 b% f1 A
thtag21 = x(3^4*4 + 1:3^4 * 5); : n5 w0 ~( M1 v3 B
thtag22 = x(3^4*5 + 1:3^4* 6);
: u8 h% z J6 l, \f1 = w_f1'*thtaf1 ;
! \$ l: U; H3 e8 e8 x# Q7 E# Jf2 = w_f2'*thtaf2;: Q4 k3 t$ n4 T, o( r
g11 = w_g11'*thtag11;8 V; w2 S% D5 D; E/ |* H+ A8 G ~
g12 = w_g12'*thtag12;
* d, c+ Q3 N% N: {8 G* Yg21 = w_g21 *thtag21 ;+ s3 v8 u+ U! q. B( Q5 B- D& s0 V
g22 = w_g22 *thtag22 ;1 e# ]) M# J! t `5 N" H
ep_f = x(3^4 *6 +1:3^4 *6 +2) ;# @/ a2 W9 d* I8 h
ep_g11 = x(6*3^4 + 3);! B/ x" A6 P$ e% R+ w* [
ep_g12 = x(6 * 3*4 + 4);
. q3 H; S9 M. X! sep_g21 = x(6 * 3*4 + 5) ;
S% c% U' {9 b/ L3 f6 [: Tep_g22 = x(6 * 3*4 + 6);. L! c) c) Z m7 @
ep_g = [ep_g11 ep_g12 ; ep_g21 ep_g22];) K' c! i, s- w' k9 j; \
ep_u = x( 3^4 * 6 + 7);
, Q. g+ \, v/ Kdelta = x(3^4* 6 + 8); }( M. r9 | \
F= [f1 f2]';
) O8 ^ _8 ?& @5 l7 l' |- OG= [g11 g12;g21 g22];
7 N ^$ S5 F, T- m; K. ~& H/ ~k1 = 20;
% \6 C/ f9 t# ^6 ]3 Q- W* v) P& buc = G'*inv(ep0 *Ip + G*G')*(-F + v+K0*s+ k1*G*s);
7 D l$ H# y& X7 V7 A; NuO = epO*inv(epO * Ip + G*G') * (-F + v + K0*s + k1*G*s);+ X) T T; v4 r0 l
ur = s * abs(s') * (ep_f + ep_g * abs(uc) + ep_u' * abs(u0))/(norm(s)^2 + de1ta);# O( U: G" t4 O5 ?0 ?% b
xite_f1= 0.5;
" ?8 q) r% K2 H8 bxite_f2 = 0.5;
. _6 I$ W# R- J& V2 ~xite_g11 = 0.5;
6 A# T v8 u7 w5 v: ^' ?xite_g12 = 0.5;1 I8 V$ K6 C8 X! y& c/ J$ g: O( j
xite_g21 = 0.5; : B: z" b/ o B% ~2 S" B+ |0 J2 [/ v2 `
xite_g22 = 0.5; + x: \) S# Q1 g6 y3 g8 c, g
xite0 = 0.001;
( r8 P. H2 f( N%F
/ e* _6 C7 e/ S+ R6 [for i = 1:1:3^4
% m5 c9 K& @2 W3 u( O) h8 [ T sys(i) =- xite_f1 * w_f1(i) * s(1);
: R3 X6 o6 M! j7 m' G# M$ jend
+ R; h8 r) F8 @* Xfor i= 3^4 + 1:1:2*3^4- `1 \. J' s8 B* W
sys(i)=-xite_f2 * w_f2(i-3^4) * s(2);
' y# q: x4 p- Vend
( [1 w) M" v. i5 I4 l* X%G
- Y, u5 u8 T D; cfor i=2*3^4+1:1:3*3^4; b5 o1 t* ^4 N q, D! B7 ?- u
sys( i) =- xite_g11*w^g11(i-2*3^4) * s(1)*(uc(1) - k1*s(1));' y- o( R6 x$ z/ A0 _/ W
end
3 e) \; \6 v w+ E& yfor i = 3*3^4 + 1:1:4*3^4) W. [8 d2 U( a$ ?' L. |
sys(i) =- xite_g12 * w_g12(i-3*3^4) * s(1) * (uc(2)-k1*s(2));
" Y8 r' m- [# D- j5 {' ]/ C& r5 Oend
! J: k$ X% Z% b* m4 C2 Mfor i = 4*3^4 + 1:1:5*3^45 d% S$ I4 t r& ~
sys(i) =-xite_g21*w_g21(i - 4*3^4) * s(2) * (uc(1) - k1*s(1));0 m+ [/ Y: G* U) j* {/ n; }; m/ m5 ]
end
9 U2 k t" V+ C* b" Z0 t5 ]1 J- Ofor i=5*3^4 + 1:1:6*3^4, r7 G0 Y' \0 q- E5 T& M! G" ~
sys(i) =- xite_g22 * w_g22(i - 5 *3^4) * s(2) * (uc(2) - k1*s(2));
( F+ g, \6 h6 A' M% E0 P. Z5 mend: ?& d) f5 m/ U/ \- o- u2 p) F
gama0 = 0.001;' E5 L$ R9 y+ b7 t6 o/ f# i
0 v6 u2 E' ]0 L+ p3 i# u3 Jsys(6 * 3^4 + 1) = gama0*(abs(s(1))) ; % ep_f1
% A0 g9 \9 {, f. l: M: _' gsys(6 * 3^4 + 2) = gama0* (abs(s(2)));% ep_f20 N6 {# P& X0 g6 f. R+ v
%ep_g
/ o' M/ H9 P- o9 P! Z! ~. Ssys(6 *3^4 + 3) = gama0 * (abs(s(1))) * abs(uc(1) ); % ep_g1 1
- x/ \0 G7 J `5 G3 D6 Tsys(6 * 3^4 + 4)= gama0 * (abs(s(1))) * abs(uc(2)) ; % ep_g12
: S# R, j# G! Y1 B8 u- S) Bsys(6 * 3^4 + 5)= gama0 * (abs(s(2))) * abs(uc(1)) ; % ep_g219 Q3 t1 f- b! |7 k3 ^) I% \3 X
sys(6 * 3^4 + 6)= gama0 * (abs(s(2))) * abs(uc(2)) ; % ep_g22
+ f1 {( [5 i# b" O% ep_u* n1 J3 A( K$ g/ {
sys(6 * 3^4 + 7) = gama0*(abs(s')) *abs(u0);
7 I, _' i( T. F n) V" F. J% de1ta
7 @+ c6 F5 f U' j% Ssys(6 * 3^4 + 8) =- xite0* (abs(s') * (ep_f + ep_g * abs(uc) + ep_u' *abs(uO)))/(norm(s)^2 + de1ta) ;
; m, D [8 b& M) {function sys = mdlOutputs(t,x,u)
' k; y6 S" O% y2 D0 Eglobal uc ur& A4 S6 H4 t1 G7 j; d, c
if t == 0
B. w* Z& o2 P' R2 A2 Zuc = zeros(2,1);
/ j) c5 l- w q/ H% W' Kur = zeros(2,1);7 e/ F/ d* R9 S- ? L4 F
end
4 P9 k+ @, D4 ?, L# t) E9 Gut = uc + ur;! C5 q* j/ X) C2 l; |+ X( n9 q
sys(1) = ut(1);
* J" N: w A) u" E6 f+ Hsys(2)=ut(2);1 o) s! {7 U- X9 O% x
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