下面这个程序是在x=[x;diff(x)],u=I的条件下的滑模变结构控制,要想把其更改为在x=[x;y;diff(x);diff(y)],u=[Ix;Iy]条件下的话,这个程序应该如何修改?谢谢大家了! 3 z2 g; X# Z- C4 M, ^ l4 qclear all;" u2 w. w! T, L6 F
close all;7 v3 ~+ K$ q0 x5 g% C! v! f
a=25;b=133; - O$ U# A4 w+ { @$ Vts=0.001; 3 f8 k! b9 G9 W1 c+ DA1=[0,1;0,-a];* ~6 v$ \/ o5 A3 ~; |5 c0 S- Q1 x
B1=[0;b];$ W4 X8 v$ _; |3 k& n. Z: a0 M0 |
C1=[1,0]; $ `! R2 Z' D B0 V( oD1=0;' | w N0 f$ g, S
[A,B,C,D]=c2dm(A1,B1,C1,D1,ts,'z');. W1 `5 {) ~: ?0 S
x=[-0.8;-0.5];9 T- H6 i0 z5 ]/ X( t
r_1=0;r_2=0;4 F! u4 Y) u' |8 O
c=20; / ~$ B8 U1 n0 z ~" |- c5 L% weq=5;: C$ w/ W$ r1 g: \. f
q=30; 6 Y' N, D& Y0 p- ?' bCe=[c,1]; # k1 G w1 t7 g9 z# m1 c p& Tfor k=1:1:2000 {2 S% r! h$ L) n+ B; y1 z
time(k)=k*ts; ' o. @+ ]( t R* R' ~$ [ r(k)=1.0; $ b9 C0 |+ y) b8 ~: V3 {9 p ' l+ i/ {0 B0 k7 r( j/ r
%Using Waitui method " z" o5 c- W2 @! O
dr(k)=(r(k)-r_1)/ts;* m9 l! ^' u5 Y/ n
dr_1=(r_1-r_2)/ts;0 s: t5 ^& [2 v0 p4 } X
r1(k)=2*r(k)-r_1;: H. }8 y: {8 @
dr1(k)=2*dr(k)-dr_1;- ~0 x6 c' J+ X( E% y2 j+ d7 a
0 r' B; m) d) Q R=[r(k);dr(k)];& ]1 S% U% ?' B0 M$ y
R1=[r1(k);dr1(k)]; & t6 N/ H$ j% _" L* @ 8 O# S4 R! M, Q- F+ h T
E=R-x;" ?* Q8 M \) X+ I E, R
e(k)=E(1);8 O* v7 e( J5 y \6 ~! w( C
de(k)=E(2);. X }2 B/ r$ S8 d, v9 |
6 N0 q, t& u2 I7 |0 _/ x7 M s(k)=Ce*E;; o8 k9 O6 P# r/ G" C8 |9 x% R
+ j8 o8 A5 g1 M# @7 S5 b
X1=abs(e(k))+abs(de(k)); + z% @ L" T$ ~/ J8 G % T7 A2 e S8 M9 o" u4 v2 e/ U3 F* ^
M=3; ! }+ v2 _# X$ p! |; \8 a+ dif M==1 %EXP reaching law' n2 K0 L/ Z- t, q; F
ds(k)=-eq*ts*sign(s(k))-q*ts*s(k);' x" _* i0 Y) J9 f! o% F8 Z( @$ `
u(k)=inv(Ce*B)*(Ce*R1-Ce*A*x-s(k)-ds(k)); . R6 k: ^0 J2 U- F: D" zelseif M==2 %Variable rate reachine law ! D% W1 }4 @9 I ds(k)=-eq*ts*X1*sign(s(k));( j0 `, V! a, u* f5 b
u(k)=inv(Ce*B)*(Ce*R1-Ce*A*x-s(k)-ds(k));7 b! c9 a* o! j" {! ?# r$ n
elseif M==3 %Coposite reaching law" X8 X: r y& M- J, q
k0=0.60; + r& M) I q8 W3 K6 m9 O if X1>k0 %EXP reachine law ! O6 w5 ~5 D, w* l% w ds(k)=-eq*ts*sign(s(k))-q*ts*s(k); 8 |7 _/ f* i; k0 ? u(k)=inv(Ce*B)*(Ce*R1-Ce*A*x-s(k)-ds(k));! n: X3 c0 Q8 o4 k7 X
elseif X1<=k0 %Variable rate reachine law% n0 v$ r& w! S4 e3 q2 f o; R; d
ds(k)=-eq*ts*X1*sign(s(k)); 8 c/ J. {$ i# f8 r S" q2 h u(k)=inv(Ce*B)*(Ce*R1-Ce*A*x-s(k)-ds(k)); / A( I$ w4 U; I7 \# c end . d# N" x$ B$ K, U) w/ l. _) Y' x: O2 mend ; y( E! j( }% H2 x3 a" Z3 Mif u(k)>=10& q! u, ~( I. d. i1 ~! \9 D G
u(k)=10; ' C2 a2 p6 O+ P: y/ N+ iend $ A* v1 [; p: z+ Z% A% e, p% cif u(k)<=-10 ) v- P! T4 ?$ e( k, a# A/ S1 b7 t u(k)=-10;5 Q0 {' U; D& r1 Q
end 5 U4 @; {9 t+ Y) z7 E yx=A*x+B*u(k); + ]! _6 s/ R7 E; Y8 Z! zy(k)=x(1); 8 ]" A4 j" e" R%Update Parameters3 o8 a; Q4 c9 X; _0 Z
r_2=r_1;8 Z8 S; A2 {/ Y
r_1=r(k);0 A) j0 F5 b9 d2 a! I! _% R& T
end % B# s V& K) G6 e: U+ cfigure(1)$ C u9 }; ]/ |* Q& H+ E+ l4 U. F; z
plot(time,r,'r',time,y,'b'); , J) c7 Q$ y+ I; L2 d$ G7 l" K3 `xlabel('Time(second)');ylabel('Position tracking'); ) E" [! M5 @3 ~2 o9 J1 w. Yfigure(2) ! r3 b2 L: I9 h7 `$ lplot(time,s,'r'); + |. G: R( k# B( G% ?7 y$ y h5 jxlabel('Time(second)');ylabel('Switch function s'); 9 P, C- E* j) z/ l8 u2 `figure(3) 3 f% K( e* h4 r/ W/ A+ o& _plot(e,de,'r',e,-c*e,'b'); 2 N n& _5 T, ?7 M6 U* zaxis([0,0.0001,-0.001,0]); " F- G3 o: | E* l$ N5 k ~& e: exlabel('e');ylabel('de'); , e; W( b4 r& J& ?figure(4) ( O5 B. L: k/ a' J/ xplot(time,u,'r');+ o6 C: ]. C6 t9 U' K r
xlabel('Time(second)');ylabel('u'); ) G: c! w6 ?" A/ P. I9 s& B- D7 S 7 X2 r' w) Y% p; S' q0 @