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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:
8 i* X, B6 h4 G1 F9 C# ^
) Q" d: U$ w1 H+ j# O/ L. Ffunction sys = mdlDerivatives( t,x,u)! w. Z' g/ I' T8 N
global uc ur
5 ^& T6 t6 p* V/ u7 zyd1 = u(1);/ d9 c: s: R9 _1 Z
yd2 = u(2);
0 d7 t2 {0 k: [3 r6 L$ Zdyd1 = cos(t);/ s9 D- L" S- B1 U# {
dyd2 = cos(t);
; p8 h/ g1 ^' E) M; c+ q; @+ Mddyd1 =- sin(t) ;6 P) z# i S; r: ~" a I }
ddyd2 =- sin(t);' F! D s$ m; w2 `- a
x1= u(3);x2= u(4); M) z1 l: ~ ~' [6 H+ z6 v
x3 = u(5);x4 = u(6);0 s* {( }8 [# B2 x
e1 = yd1 - x1;
: q+ A! g' H0 I. j5 A) X) ce2 = yd2 - x3;6 M W+ t5 v# `$ _
de1 = dyd1 - x2;
" g) \' p3 `9 K! W# ude2 = dyd2 - x4;% }3 x2 J2 i3 T/ A( ]' ]5 m
nmn1 = 20 ; nmn2 = 20 ;* u" f4 }4 ~8 |3 I9 V
beta11 = nmn1 ;beta21 = nmn2;$ z3 c, z8 c3 J5 E9 A3 c
K0 = 15 *eye(2);6 ]# [4 K9 l& ?4 P1 r# X# d8 W
v1 = ddyd1 + beta11 * de1;
# d' N9 z1 z9 dv2 = ddyd2 + beta21 * de2 ;* X: r7 W4 U( J8 z% N
v=[v1 v2]';2 N3 [) C0 ]* {, ?- H
s1=de1+nmn1*e1;
$ s8 M u$ g3 E( vs2=de2+nmn2*e2;
# w$ P" U2 v# v5 G8 T; Xs=[s1 s2]';5 z" J" s4 K- [1 _: y
% Contro1 1aw(26)+ L ?% M+ D7 d
epO = 0.1;, N2 T+ I! `3 U ~5 Q+ s4 U
Ip= eye(2);
% p1 a) {7 H; M+ M) O" F0 \$ ]rou0 = 0.2;
' S7 c& b7 X, a: a. T1 ?u1(1) = exp( -1/2* ((x(1) +1.25)/0.6)^2);. b+ s" A4 y1 [& @. \
u1(2) = exp( -1/2 * (x(1)/0.6)^2);6 Z$ W1 J. L( r' }: a4 e2 \
u1(3) = exp( - 1/2 * ((x(1)-1.25)/0.6)^2);% I9 r' r% k7 @: Q
u2(1) =exp( - 1/2* ((x(2) + 1.25)/0.6)^2) ;
1 w) M f" o8 d7 {* c: Yu2(2) = exp( - 1/2 * (x(2)/0.6)*2) ;
, ~: u# q+ o H& Z# iu2(3) =exp( - 1/2* ((x(2) - 1.25)/0.6)*2) ;
/ ?5 ]: s! ?& X Q( B1 D( Zu3(1) =exp( -1/2* ((x(3) + 1.25)/0.6)^2) ;
9 P) k0 i2 y1 V5 U6 X5 R! yu3(2) = exp( - 1/2 *(x(3)/0.6)^2) ;
, f- G) M1 Y5 N& L/ Mu3(3) =exp( -1/2* ((x(3)-1.25)/0.6)^2);
- g+ b% {% Y) v7 ^2 ^6 O6 M8 nu4(1) =exp( - 1/2* ((x(4) + 1.25)/0.6)^2) ;
/ {! W( c0 M7 B# R. f7 k- Nu4(2) = exp( - 1/2 * (x(4)/0.6)^2);# p6 O; u) L" h) w" ]: `
u4(3) = exp( -1/2* ((x(4)-1.25)/0.6)^2) ;
; t. H$ \! p: t7 UFS1 =0;
6 V1 x' U5 f5 P2 p7 {- o/ W! sFS2 = zeros(3^4,1);. n \' l: S6 A$ {4 _! |2 o! F
for L1= 1:3' Z9 s6 h2 \ I; @. e( v- G; o9 D
for L2 = 1:3
" Z6 o! D% n0 A, \; u3 ~ for L3 = 1:38 p/ u0 F# ~* W' R6 C2 N* V0 |
for L4 = 1:3" v+ Z4 ]5 ^. j3 p! [
FS2(3^3 *(L1-1) + 3^2 *(L2 - 1) + 3*(L3 - 1) + L4) = u1(L1) * u2(L2) * u3(L3) *u4(L4);5 {) j. N9 [, L u. f% T! i8 G
FS1= FS1+ u1(L1) * u2(L2)* u3(L3) * u4(L4);3 r1 F9 G0 \/ I2 z5 d
end3 F7 T2 p0 ?- J9 G. K
end" ^& H* C: A9 J
end
! B4 q2 c6 R* R3 G: e" Zend
/ O6 X% E2 s8 }; x3 rFS=FS2/FS1;
0 s# M8 _" Z4 F; Rw_f1 = FS;w_f2 = FS;
6 Q$ B/ y0 Z9 i. E2 Z( k+ ew_g11 = FS;w_g12 = FS;
8 M' r- f; P2 rw_g21 = FS;w_g22 = FS;6 y: V9 X$ z/ S! R+ @# I
thtaf1 = x(1:3^4);
4 y0 ^" |! a5 `8 [# Q1 _: Vthtaf2 = x(3^4 + 1:3^4 *2);- \' k# f) S/ h
thtag11 = x(3^4 * 2 + 1:3^4 * 3 ); $ v$ Z$ B& O8 F/ }- C" y
thtag12 = x(3^4 * 3 + 1:3^4 * 4);
) d W ?8 [1 n+ |/ X- C$ c1 ^thtag21 = x(3^4*4 + 1:3^4 * 5);
1 y3 g1 \, u" _* R' Ithtag22 = x(3^4*5 + 1:3^4* 6);1 m2 T. f# Y2 ~7 x
f1 = w_f1'*thtaf1 ;
& `/ D% O. q! I8 i) H( gf2 = w_f2'*thtaf2;
! q @2 ~; w& I p- u) E Og11 = w_g11'*thtag11;
0 b, }9 j" `. X7 C4 ^2 |& Lg12 = w_g12'*thtag12; * H& r3 ~- |1 J# f0 L
g21 = w_g21 *thtag21 ;
1 W# K T+ ^8 J4 ~6 J8 x$ Kg22 = w_g22 *thtag22 ;( X! }3 r# A- S
ep_f = x(3^4 *6 +1:3^4 *6 +2) ; X0 @5 X0 T: [- z, @
ep_g11 = x(6*3^4 + 3);
9 b t7 L6 {! [" G5 w1 t8 iep_g12 = x(6 * 3*4 + 4);# G' [$ [9 y' X
ep_g21 = x(6 * 3*4 + 5) ;
! r, n7 F; X! P" Y t: j, aep_g22 = x(6 * 3*4 + 6); D# E5 p' q. _, G
ep_g = [ep_g11 ep_g12 ; ep_g21 ep_g22];, E' z6 [9 P) w [
ep_u = x( 3^4 * 6 + 7);
( z' b- G7 B6 s0 l: Z1 sdelta = x(3^4* 6 + 8);" \3 k6 v9 L0 j# r. O
F= [f1 f2]';, X0 L8 P$ q6 _- n
G= [g11 g12;g21 g22];
4 J- L: E' F# _k1 = 20;
' {4 b3 k" C7 g% k; L# H+ auc = G'*inv(ep0 *Ip + G*G')*(-F + v+K0*s+ k1*G*s);; a: _) a1 F8 _1 v; X. R! L) j8 o
uO = epO*inv(epO * Ip + G*G') * (-F + v + K0*s + k1*G*s);
0 e* [: ~( u; Y& A2 ? R% M0 ?ur = s * abs(s') * (ep_f + ep_g * abs(uc) + ep_u' * abs(u0))/(norm(s)^2 + de1ta);' P. o! C5 m$ Z. P" ]" z5 \9 j
xite_f1= 0.5;
& ~' Q/ o4 P) | gxite_f2 = 0.5;
/ w1 a6 L. ~0 H3 |' k: Vxite_g11 = 0.5;3 ~+ K" U4 M4 @) b4 V& }
xite_g12 = 0.5;
: m6 W' l; Q0 I d8 _/ J* }" exite_g21 = 0.5; # ?& S z$ b& B4 m6 q. ?, N( e
xite_g22 = 0.5; / k& s0 d2 Q B: i7 T
xite0 = 0.001;% X; w' }% a" ? ?
%F
, s6 z" n" `( s3 D% U8 ~for i = 1:1:3^4* y0 ~9 `3 _! l/ }# K9 @. p
sys(i) =- xite_f1 * w_f1(i) * s(1);' n$ w& Z" Q% u( C. Q5 {
end" H: o+ x9 [) C% J
for i= 3^4 + 1:1:2*3^42 _! S X a9 y7 w
sys(i)=-xite_f2 * w_f2(i-3^4) * s(2);( @. W- Q; \& H' S6 k' B! ?
end* A* H: ?$ _& n+ y
%G
8 A) @' C2 X6 a& T/ yfor i=2*3^4+1:1:3*3^4- ~; G- u8 m( e+ V, Q6 ?
sys( i) =- xite_g11*w^g11(i-2*3^4) * s(1)*(uc(1) - k1*s(1));
7 I( C; [& E, b+ `& uend. @) Q9 N. `+ I) u
for i = 3*3^4 + 1:1:4*3^4& z* g! _7 J* r& F+ N% }
sys(i) =- xite_g12 * w_g12(i-3*3^4) * s(1) * (uc(2)-k1*s(2));
7 O" l* A: m' @0 zend4 T3 h3 Y! g1 a9 F' w! i- D! c& c
for i = 4*3^4 + 1:1:5*3^4) l5 p* d+ T2 j( ^
sys(i) =-xite_g21*w_g21(i - 4*3^4) * s(2) * (uc(1) - k1*s(1));
6 H/ M: j9 I. O% J$ nend
* I0 C" b/ I5 t+ n3 Rfor i=5*3^4 + 1:1:6*3^4
2 h' S/ Q* u+ e$ R9 z2 m sys(i) =- xite_g22 * w_g22(i - 5 *3^4) * s(2) * (uc(2) - k1*s(2));/ D7 P5 i( }# m& Y4 R1 p" v/ m- P' U
end
4 C+ Z7 L1 N: ygama0 = 0.001;
+ s2 N% R: p9 f
3 J' {0 A, F' g( ^/ w3 p! Wsys(6 * 3^4 + 1) = gama0*(abs(s(1))) ; % ep_f1% V; |6 G5 k: ]; n4 B2 s/ j) G* P
sys(6 * 3^4 + 2) = gama0* (abs(s(2)));% ep_f2
& ?! ^7 W3 n# o$ ^1 y%ep_g
. b3 B6 z( S# m0 \) S3 esys(6 *3^4 + 3) = gama0 * (abs(s(1))) * abs(uc(1) ); % ep_g1 1
, H. H0 f2 j3 \, F m5 Y0 \sys(6 * 3^4 + 4)= gama0 * (abs(s(1))) * abs(uc(2)) ; % ep_g12
% r# |. T* M" j0 b( j Rsys(6 * 3^4 + 5)= gama0 * (abs(s(2))) * abs(uc(1)) ; % ep_g218 _. r7 T* Z9 _+ U. y( B; Y
sys(6 * 3^4 + 6)= gama0 * (abs(s(2))) * abs(uc(2)) ; % ep_g22
5 R" V* J6 g2 l2 Z0 U% ep_u! h! ^. a6 ]7 T7 @) `( A
sys(6 * 3^4 + 7) = gama0*(abs(s')) *abs(u0);
5 H# T% P& h# n! q: Z! X% de1ta' ^5 |! ]) ^; y# X
sys(6 * 3^4 + 8) =- xite0* (abs(s') * (ep_f + ep_g * abs(uc) + ep_u' *abs(uO)))/(norm(s)^2 + de1ta) ;4 S# M- ?4 X- P b
function sys = mdlOutputs(t,x,u)0 K. Q3 i) H$ Q: e# w$ c
global uc ur
t4 Z1 R. a8 `7 J- F: `2 c* Bif t == 0
( `( f& {+ i; z" A( c' h6 Xuc = zeros(2,1);5 }7 x8 q# Y! h( e) x. J- `
ur = zeros(2,1);
) P5 C' E; }, _' }6 M+ K2 ^6 T1 Rend
* e1 _; T, N' A8 \ut = uc + ur;. _$ A& w1 C5 ^" ]9 l
sys(1) = ut(1);
6 ]5 Y6 m a& h; |9 D2 e4 y4 rsys(2)=ut(2);8 ?3 j! |: P7 n$ v! h2 \0 p: t2 h
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