📄 shuangbihuang.m
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clc;
clear;
%motor modeling
Ra=1.11;
La=200e-6;
Ct=0.0364;
Ue=24;
Ce=Ct;
J=67.7e-7;
aaa=9.54929658/(Ce*30); %转速:脉冲数/ms
bbb=J*La/(Ce*Ct);
ccc=J*Ra/(Ce*Ct);
ts=0.001;
sys=tf(aaa,[bbb,ccc,1]);
dsys=c2d(sys,ts,'tusin');
[num,den]=tfdata(dsys,'v');
u_1=0.0;
u_2=0.0;
y_1=0.0;
y_2=0.0;
e_3=0;
e_2=0;
e_1=0;
se_2=0;
se_1=0;
se_3=0;
uu=0;
vv=0;
ss=0;
sss=0;
se=0;
x=[0 0 0]';
%%%%%%%%%%% 位置环参数 %%%%%%%%%%
%skp=0.2;
%ski=4;
%skp=0.38;
%ski=0.15;
skp=0.3;
ski=0.55;
skd=0.00000;
p0=skp*(1+0.001/ski+skd/0.001); %增量式PID
p1=-skp*(1+2*skd/0.001);
p2=skp*skd/0.01;
%%%%%%%%%%% 速度环参数 %%%%%%%%%%
kp=0.135;
ki=0.005;
kd=0;
q0=kp*(1+0.001/ki+kd/0.001); %增量式PID
q1=-kp*(1+2*kd/0.001);
q2=kp*kd/0.01;
sexp=[1.6667 6.6667 15 26.667 41.667 60 81.667 106.67 135 166.67 201.67 240 281.67 326.67 375 426.67 481.67 540 601.67 666.67 735 806.67 881.67 960 1041.7 1126.7 1215 1306.7 1401.7 1500 1600 1700 1800 1900 2000 2100 2200 2300 2400 2500 2600 2700 2800 2900 3000 3100 3200 3300 3400 3500 3600 3700 3800 3900 4000 4100 4200 4300 4400 4500 4600 4700 4800 4900 5000 5100 5200 5300 5400 5500 5600 5700 5800 5900 6000 6100 6200 6300 6400 6500 6600 6700 6800 6900 7000 7100 7200 7300 7400 7500 7600 7700 7800 7900 8000 8100 8200 8300 8400 8500 8600 8700 8800 8900 9000 9100 9200 9300 9400 9500 9600 9700 9800 9900 10000 10100 10200 10300 10400 10500 10600 10700 10800 10900 11000 11100 11200 11300 11400 11500 11600 11700 11800 11900 12000 12100 12200 12300 12400 12500 12600 12700 12800 12900 13000 13100 13200 13300 13400 13500 13600 13700 13800 13900 14000 14100 14200 14300 14400 14500 14600 14700 14800 14900 15000 15100 15200 15300 15400 15500 15598 15693 15785 15873 15958 16040 16118 16193 16265 16333 16398 16460 16518 16573 16625 16673 16718 16760 16798 16833 16865 16893 16918 16940 16958 16973 16985 16993 16998 17000 17000];
vexp=[3.3333 6.6667 10 13.333 16.667 20 23.333 26.667 30 33.333 36.667 40 43.333 46.667 50 53.333 56.667 60 63.333 66.667 70 73.333 76.667 80 83.333 86.667 90 93.333 96.667 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 96.667 93.333 90 86.667 83.333 80 76.667 73.333 70 66.667 63.333 60 56.667 53.333 50 46.667 43.333 40 36.667 33.333 30 26.667 23.333 20 16.667 13.333 10 6.6667 3.3333 0 0];
for k=1:201
time1(k)=k*ts;
end
for k=1:200
time(k)=k*ts;
%%%%%%%%%%% 位置环增量式PID %%%%%%%%%%
vvexp(k+1)=p0*se_1+p1*se_2+p2*se_3+vv;
%vvexp(k+1)=skp*se_1+vv;
if vvexp(k+1)>=200
vvexp(k+1)=200;
end
if vvexp(k+1)<=-200
vvexp(k+1)=-200;
end
vv=vvexp(k+1);
%%%%%%%%%%% 速度环增量式PID %%%%%%%%%%
u(k)=q0*e_1+e_2*q1+e_3*q2+uu;
%%%%%%%%%%%% Adding disturbance %%%%%%%%%%%
%if k==100
% u(k)=u(k)+4.0;
%end
%%%%%%%%%%% 积分饱和 %%%%%%%%%%
if u(k)>=24
u(k)=24;
end
if u(k)<=-24
u(k)=-24;
end
uu=u(k);
%%%%%%%%%%% 实际速度 %%%%%%%%%%
yout(k)=-den(2)*y_1-den(3)*y_2+num(1)*u(k)+num(2)*u_1+num(3)*u_2;
%%%%%%%%%% Adding disturbance %%%%%%%%%
%if k==125
% yout(k)=yout(k)+100;
%end
u_2=u_1;
u_1=u(k);
y_2=y_1;
y_1=yout(k);
%%%%%%%%%%% 实际位移 %%%%%%%%%%
sact(k)=yout(k)+sss;
sss=sact(k);
%%%%%%%%%%% 速度环误差计算 %%%%%%%
error(k)=vvexp(k+1)-yout(k);
e_3=e_2;
e_2=e_1;
e_1=error(k);
%%%%%%%%%%% 位置环误差计算 %%%%%%%
serror(k)=sexp(k+1)-sact(k);
se_3=se_2;
se_2=se_1;
se_1=serror(k);
end
%plot(time,yout,time1,vvexp) %速度环
%plot(time1,sexp,time,sact)
plot(time1,vvexp,time1,vexp) %位置环
%plot(time,serror,time1,sexp,time,sact) %累积位置误差
%plot(time,u)
%plot(time1,vvexp,time1,vexp,time,yout)
%plot(time,serror)
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