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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:
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function sys = mdlDerivatives( t,x,u)% i X5 V2 R, s$ [# Y! w6 l
global uc ur
R7 L2 m' J9 h) X/ H; ~& ayd1 = u(1);& X% K, v0 [, M( j# c' D3 P6 S
yd2 = u(2);
" \ ]. S/ g: s' M1 S9 v* ^dyd1 = cos(t);
, g( i6 x' @) `' W& i: [dyd2 = cos(t);
! B( _8 H/ R4 T% [2 _' xddyd1 =- sin(t) ;
/ @7 q7 K# y% y9 Uddyd2 =- sin(t);
! K: I" M% [' n, L. nx1= u(3);x2= u(4);
0 Y; q$ L$ r2 ^( Zx3 = u(5);x4 = u(6);
8 \% [+ u2 j5 I% l' c+ Ue1 = yd1 - x1;
; D; l2 n$ Q0 K1 J) M& X' Qe2 = yd2 - x3;
* U* y* O( _6 h( Lde1 = dyd1 - x2;; p/ m# m* v! T" R: d5 [
de2 = dyd2 - x4;+ P: }" b+ D Q& c: t2 \
nmn1 = 20 ; nmn2 = 20 ;
2 Q5 P2 Z3 K, O! \beta11 = nmn1 ;beta21 = nmn2;' J( i' L0 t) r7 E
K0 = 15 *eye(2);
% a) ^6 i4 X8 i, m2 h2 Bv1 = ddyd1 + beta11 * de1;# p' F, o7 f% s
v2 = ddyd2 + beta21 * de2 ;: [# p" b) ]7 B- i) Y5 T3 B
v=[v1 v2]';' k6 B% V7 B( O# |
s1=de1+nmn1*e1;3 f+ y! D) U. b+ z4 j2 N1 P H
s2=de2+nmn2*e2;" E/ q1 h4 i+ j8 r( f( e
s=[s1 s2]';
0 o X6 b0 _' D% `% Contro1 1aw(26)+ E; G# J+ F8 ~
epO = 0.1;: {# d0 o2 y5 M: f( _$ E
Ip= eye(2);9 @2 x& r: M0 B3 g7 N) P
rou0 = 0.2;
, g2 O4 |6 m/ v; E' cu1(1) = exp( -1/2* ((x(1) +1.25)/0.6)^2);
4 C/ t8 ?$ j5 U) Nu1(2) = exp( -1/2 * (x(1)/0.6)^2);6 ?& B* S& a% |
u1(3) = exp( - 1/2 * ((x(1)-1.25)/0.6)^2);. S% x$ v* [5 G( o( H; Y6 A8 V
u2(1) =exp( - 1/2* ((x(2) + 1.25)/0.6)^2) ;
( P) Y5 H, ?# K' }' w. s0 s# au2(2) = exp( - 1/2 * (x(2)/0.6)*2) ;* X# Q% m K& t, \8 a* e& C
u2(3) =exp( - 1/2* ((x(2) - 1.25)/0.6)*2) ;
) P2 `( w( ~* {1 H: {u3(1) =exp( -1/2* ((x(3) + 1.25)/0.6)^2) ;
4 J2 L* f7 J+ [u3(2) = exp( - 1/2 *(x(3)/0.6)^2) ;1 a4 \5 i4 l0 V* Y T
u3(3) =exp( -1/2* ((x(3)-1.25)/0.6)^2);
; g' V# m6 k0 A, G$ A9 _! {3 W' Lu4(1) =exp( - 1/2* ((x(4) + 1.25)/0.6)^2) ;- g' U8 T* Y" J) o+ I5 c- ~3 B
u4(2) = exp( - 1/2 * (x(4)/0.6)^2);! B* N1 a) G; K _: [( b. n
u4(3) = exp( -1/2* ((x(4)-1.25)/0.6)^2) ;
* f6 }; S! ?& b# f+ hFS1 =0;+ i' b0 V, Q3 n" C( Z' k
FS2 = zeros(3^4,1);- }1 ?9 e/ |5 G' M
for L1= 1:3
3 Q* f: F2 Q7 }* \9 d for L2 = 1:3
8 r* i* m o7 \! l' w8 {6 y$ J for L3 = 1:3! Q# G+ ^" ]# {- k
for L4 = 1:39 a0 z5 ] Y g3 }3 W
FS2(3^3 *(L1-1) + 3^2 *(L2 - 1) + 3*(L3 - 1) + L4) = u1(L1) * u2(L2) * u3(L3) *u4(L4);
$ P/ ?% \# d b FS1= FS1+ u1(L1) * u2(L2)* u3(L3) * u4(L4);
, m$ d& E% Z+ l3 [5 c: ^ end
4 B( j- b: _. p% L, w/ o end
8 Y7 w- {5 E- H0 p% ?. m2 N! p- d end
$ j) D8 V5 }! u7 c9 kend
; g( ?. L! a# ~3 X) lFS=FS2/FS1;# @" y: e! m6 F& @& t' p
w_f1 = FS;w_f2 = FS;; I- V1 S8 L* Y8 c
w_g11 = FS;w_g12 = FS;
) n3 x7 U! c6 V! f& I" A! z/ Pw_g21 = FS;w_g22 = FS;5 y' O* }5 V+ I1 b
thtaf1 = x(1:3^4);* ?. d4 t$ t% v$ h0 Y
thtaf2 = x(3^4 + 1:3^4 *2);
$ e6 C) V3 b- }. n$ zthtag11 = x(3^4 * 2 + 1:3^4 * 3 ); : ]2 v" @. s" _; X, T. p# q/ p" L; f
thtag12 = x(3^4 * 3 + 1:3^4 * 4);. H; B" }- O* W+ q8 h% L" |/ y
thtag21 = x(3^4*4 + 1:3^4 * 5);
9 C8 T q( o; J0 K( E) dthtag22 = x(3^4*5 + 1:3^4* 6);- K6 d% |! z- h6 K9 S7 L' p
f1 = w_f1'*thtaf1 ;
. a- F0 C$ a3 A( D: v9 ef2 = w_f2'*thtaf2;
+ c+ P. |' c# O( ?g11 = w_g11'*thtag11;8 k9 b; i' e, u0 i( m; R* ]
g12 = w_g12'*thtag12;
3 B% C; ]; `$ `+ a* N$ n+ vg21 = w_g21 *thtag21 ;
# H# d. W. C0 ~g22 = w_g22 *thtag22 ;
& B8 f5 g7 t j2 A. t6 [4 G. uep_f = x(3^4 *6 +1:3^4 *6 +2) ;
( N2 f5 ]9 ?1 `ep_g11 = x(6*3^4 + 3);. @) E7 V7 j5 n
ep_g12 = x(6 * 3*4 + 4);( \6 G& X% L. n _
ep_g21 = x(6 * 3*4 + 5) ;9 |; c1 {% ?$ g3 `6 g
ep_g22 = x(6 * 3*4 + 6);3 F1 @0 C) C- r: A4 a
ep_g = [ep_g11 ep_g12 ; ep_g21 ep_g22];
* Y$ K4 v2 v/ H; Qep_u = x( 3^4 * 6 + 7); ( Y5 c$ c/ k y4 F6 O
delta = x(3^4* 6 + 8);
: a& C% I& ^- v. r5 gF= [f1 f2]';/ N$ s: O2 e, @2 o7 R
G= [g11 g12;g21 g22];: y% Y1 }+ {& S5 Q: B! i
k1 = 20;
$ L* a+ c. q6 t8 K6 I" Xuc = G'*inv(ep0 *Ip + G*G')*(-F + v+K0*s+ k1*G*s);
* }. N$ u6 m2 }( E4 i; w* xuO = epO*inv(epO * Ip + G*G') * (-F + v + K0*s + k1*G*s);
5 i: ^5 W1 b0 [! e( m0 p: lur = s * abs(s') * (ep_f + ep_g * abs(uc) + ep_u' * abs(u0))/(norm(s)^2 + de1ta);5 N" I* [7 x% m9 K9 [% C2 A
xite_f1= 0.5;
, u6 q% `* V9 E+ l- T6 D: ~xite_f2 = 0.5;- q: |9 J% B, v. ]$ m: i
xite_g11 = 0.5;6 e9 t! H# `( r( ^& K
xite_g12 = 0.5;# }- p% ?: ~# a6 r7 C
xite_g21 = 0.5; $ ]( v( o7 O/ r% ?3 _3 ]* T+ _
xite_g22 = 0.5; 1 t, X% J8 A9 R0 F# x
xite0 = 0.001;
; `' j5 J0 V" \% D4 N2 D: t' n& z6 F%F" B. r" R' F% p
for i = 1:1:3^4; r+ {5 c5 D& m8 X- H& l
sys(i) =- xite_f1 * w_f1(i) * s(1);" {9 Z! u: @7 O3 F4 x
end
* |1 M" W3 J; W, ?- qfor i= 3^4 + 1:1:2*3^4. ` j l8 F9 F' U. t4 @. F% u
sys(i)=-xite_f2 * w_f2(i-3^4) * s(2);
+ s# u* c4 y4 oend
7 ?6 |2 M7 d7 W: ?2 P8 \) k8 K%G
! |' G2 B. H6 a f' Kfor i=2*3^4+1:1:3*3^48 A* w, }) b% L2 U7 z* W
sys( i) =- xite_g11*w^g11(i-2*3^4) * s(1)*(uc(1) - k1*s(1));7 c4 `+ T C$ y3 |5 r
end6 \5 H2 u p- J2 O
for i = 3*3^4 + 1:1:4*3^4
$ B; U) o" S1 l! z' N' K sys(i) =- xite_g12 * w_g12(i-3*3^4) * s(1) * (uc(2)-k1*s(2));2 D X4 N+ u, P- h+ }8 p
end
% E1 W% |( H6 D3 B3 R0 n6 ^for i = 4*3^4 + 1:1:5*3^4) Z! [/ D: P2 ?. f
sys(i) =-xite_g21*w_g21(i - 4*3^4) * s(2) * (uc(1) - k1*s(1));
& X( s! ]7 Y& J2 aend
6 l2 J1 H7 u, E4 n7 a Mfor i=5*3^4 + 1:1:6*3^4
0 q6 n# x9 Z- R* n, Q- n sys(i) =- xite_g22 * w_g22(i - 5 *3^4) * s(2) * (uc(2) - k1*s(2));; [7 V$ Y- N: K" [$ P+ h; e; I( R
end
4 t! R5 S0 _% D: I/ h" xgama0 = 0.001;8 B3 {. l* d9 d7 f7 b* g3 h
# F1 ~- Y/ Y3 A% {1 msys(6 * 3^4 + 1) = gama0*(abs(s(1))) ; % ep_f1
2 L, a% T" r/ V4 |sys(6 * 3^4 + 2) = gama0* (abs(s(2)));% ep_f22 G b5 e5 v: O" B
%ep_g9 P& ~9 G' e9 E! k- [* w
sys(6 *3^4 + 3) = gama0 * (abs(s(1))) * abs(uc(1) ); % ep_g1 1' u [4 R+ ^. x3 S+ T e, Z3 {
sys(6 * 3^4 + 4)= gama0 * (abs(s(1))) * abs(uc(2)) ; % ep_g12
/ S% I v0 ?; U2 zsys(6 * 3^4 + 5)= gama0 * (abs(s(2))) * abs(uc(1)) ; % ep_g21
. n% M+ r) [+ w8 Y' U4 N; _sys(6 * 3^4 + 6)= gama0 * (abs(s(2))) * abs(uc(2)) ; % ep_g22
" n$ g) v- I: M% W3 W* N r% ep_u; s5 c& @" p: X7 c7 C
sys(6 * 3^4 + 7) = gama0*(abs(s')) *abs(u0);
0 B4 P1 P) a+ t; r6 X9 d% de1ta
5 ]! G! e) e- k6 bsys(6 * 3^4 + 8) =- xite0* (abs(s') * (ep_f + ep_g * abs(uc) + ep_u' *abs(uO)))/(norm(s)^2 + de1ta) ;
% a8 _9 a( e/ K5 Ifunction sys = mdlOutputs(t,x,u)# b9 c" B+ m8 |! p( b1 A
global uc ur5 O, f& P! {2 \/ w3 e( @8 m
if t == 0; y7 u6 e( J {0 J$ b
uc = zeros(2,1);2 N- _! a8 G; n1 j W
ur = zeros(2,1);
6 T4 N; h! W) w S9 i: zend
: r9 @4 z& a8 u% A. nut = uc + ur;
5 t6 [& a: ~7 w0 d/ T2 b- Ssys(1) = ut(1);
. F% J x- H4 ^$ P9 \) s& Xsys(2)=ut(2);
7 V0 Z" B* w4 B |
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