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clear all;: ~0 ]2 j5 W7 t+ R' O8 Y
close all;; v3 H( r; `4 P9 K' S1 P7 w9 _
6 l6 L; |% `9 {/ k% 初始化神经元输入信号6 L% E, m, a/ o0 ?
x=[0,0,0]';1 I j% w% j( _. z
Z) W- t9 j5 W3 B! d C* x- {% 初始化学习率参数/ L4 A1 u V3 D: I. Y
xiteP=0.5; xiteI=0.6; xiteD=0.5;$ p- V! e$ @: `" h
/ S$ f' X+ f* }7 ~: Q! Z. p
%初始化kp,ki,kd& ~ r* p# Z4 ]5 h" I+ A4 i
wkp_1=0.1; wki_1=0.1; wkd_1=0.5; i5 Z2 \6 ?& i
& f s/ L( \/ d7 O4 x: ^% 初始化前两个时间单元的误差信号3 |* x; o( C( y. z! I" G. C* e, N
error_1=0; error_2=0;
( S1 ? ?, ~. o' F, s. R# `
8 i3 `; G/ {1 \0 }" z1 T) V, X: q# X2 j9 X% 初始化前三个时间单元的输出信号$ q4 M2 W( V6 S; t# D
y_1=0;y_2=0;y_3=0;1 ^" d8 q0 ^) Y# d0 P
% 初始化前三个时间单元的控制信号( E" j! k7 G$ [3 a4 T
u_1=0.0;u_2=0.0;u_3=0.0;/ H8 @: B9 m9 o& _+ F) h3 H$ [
% 初始化采样时间
F" \" P& V; s& e3 its=0.001;# ?1 V# A& `$ z! T
4 _+ j! w, h3 i( E, i: x4 k* \
% sys=tf(300,[1,20,0]);
( A6 O& N- i2 l! o, T% dsys=c2d(sys,ts,'z');5 x; u5 U6 @# `2 ] y
% [num,den]=tfdata(dsys,'v');. R9 k9 o2 T2 v" V7 Z9 e
% x=[0,0,0]';+ o: k) a9 a( u. P1 q" `3 P
4 e; l& P3 S1 J4 B. Ofor k=1:1:10000 j4 S# S, u7 k8 N* b
time(k)=k*ts;
3 z# S* a7 y2 ?2 Z$ L" U! E' Z4 X; } rin(k)=0.5*sign(sin(2*2*pi*k*ts));
" u" _' Y9 O7 r+ H" c3 F# u yout(k)=1.5*y_1-0.7*y_2 + u_1+ 0.5*u_2;0 \" w% Q+ A6 v
error(k)=rin(k)-yout(k);& l7 ?, [& t/ D' ]
" l0 \ V. Z) m" d. D7 A
% 根据M的不同,选择不同的算法
! B) C8 S4 R% l; j9 j) P wkp(k)=wkp_1+xiteP*u_1*x(1);; M7 Q5 O0 m. P( c* ?
wki(k)=wki_1+xiteI*u_1*x(2);
8 |+ ^1 ~( ]0 d/ b2 e wkd(k)=wkd_1+xiteD*u_1*x(3);
1 k# G1 {2 {! Q! I9 f K=0.06;
( s/ s" M) D' O5 Q! p0 j$ M; Y
9 w/ Z4 t+ F% R- {* J x(1)=error(k)-error_1;
+ f9 e# ]6 O! q* Z" i7 e3 A" F5 {) s- l x(2)=error(k);
* H% T+ X8 H/ O0 z) {$ S+ l x(3)=error(k)-2*error_1+error_2;6 X1 `- P& j! X$ O% ~3 P- M
wadd(k)=abs(wkp(k))+abs(wki(k))+abs(wkd(k));, K0 }6 c: R1 n
w11(k)=wkp(k)/wadd(k);
- E/ b/ l/ J; j) r4 ~8 E+ C w22(k)=wki(k)/wadd(k); % T. I; L: z' Q+ F
w33(k)=wkd(k)/wadd(k);
- T: M- g; k1 w# b6 b5 P5 G0 ~ w=[w11(k),w22(k),w33(k)];
2 u4 f0 e% d; h; M8 q. |' y9 r+ {
u(k)=u_1+K*w*x;1 M7 X2 H5 L9 F: O5 r( P
if u(k)>10/ a/ w' U/ ?) ^8 s$ b- J
u(k)=10;5 {; t. t% T" N+ j; e4 c G2 Q
end# d4 T+ y% a# C h6 D
if u(k)<-10
. B9 p- H) m. s# U& U' b6 P" A u(k)=-10;
4 O3 M1 U9 f, r; t end;
" k8 c G/ h, x; \ error_2=error_1;
6 X# H6 ^7 T, V error_1=error(k);1 i! s. x% G7 a2 B1 K; M
u_3=u_2;u_2=u_1;u_1=u(k);7 H! D: b) f% P4 i
y_3=y_2;y_2=y_1;y_1=yout(k);% v& u( W. V0 S+ `8 ?
wkp_1=wkp(k);5 [7 @9 J1 M$ Q; _7 N2 Y
wki_1=wki(k);, v3 R9 \4 P/ a4 n" |! `( w
wkd_1=wkd(k);
/ v5 Q+ y7 o5 I2 ^7 l6 U& kend2 {( e2 X2 _8 R5 }8 B2 U
+ h0 }# a" H1 _) P7 `# p' E: W6 j
figure(1);
1 ]/ V% O$ g2 }plot(time,rin,'b',time,yout,'r');
2 f7 z& S7 Q7 f* D( y- ]xlabel('t/s');ylabel('rin,yout');
5 ?6 H, `' S- qfigure(2);
1 j' Y; n; T2 Y4 osubplot(311);% H( {( u$ D* i# m7 n3 C
plot(time,wkp,'r');1 l& R; z- J6 Z" S% I% f8 {
xlabel('t/s');ylabel('wkp');( ?5 W( m# F+ ^1 z, w
subplot(312);
; A' d" F% ^& `5 w5 Dplot(time,wki,'r');
u; w- l5 P+ T% i Fxlabel('t/s');ylabel('wki');
0 l' }! a/ h% ~* d3 x' Q; }subplot(313);
5 T9 f) A2 |8 n0 F1 [plot(time,wkd,'r');
5 Z6 z, A0 w, r1 ]9 L, q& N, qxlabel('t/s');ylabel('wkd');; x/ b2 x& P' j3 e% A* L0 t- w, @
, Q: n% x- \. [& w4 M1 B( l, O
+ ^. u! ~& i" w
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