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我这个老是出不来结果!- %%%%%%%%%%%%%%%%%%%%%%%%%%基本参数
- x1=0;%%%%%%%一杆的初始转角
- x2=0;%%%%%%%二杆的初始转角
- x3=0;%%%%%%%三杆的初始转角
- x4=0;%%%%%%%四杆的初始转角
- x5=0;%%%%%%%五杆的初始转角
- x6=0;%%%%%%%六杆的初始转角
- d1=0.3875;%%%%%%%一杆的长度
- d4=0.268;%%%%%%%四杆的长度
- d6=0.1655;%%%%%%%六杆的长度
- a2=0.230;%%%%%%%二杆的长度
- a3=0.107;%%%%%%%三杆的长度
- m1=25;%%%%%%%一杆的质量
- m2=15.5;%%%%%%%二杆的质量
- m3=10.6;%%%%%%%三杆的质量
- m4=7.2;%%%%%%%四杆的质量
- m5=5.7;%%%%%%%五杆的质量
- m6=1.5;%%%%%%%六杆的质量
- x1x1=0;x2x2=0;x3x3=0;x4x4=0;x5x5=0;x6x6=0;%%%%%%%%角速度
- x1x1x1=0;x2x2x2=0;x3x3x3=0;x4x4x4=0;x5x5x5=0;x6x6x6=0;%%%%%%%角加速度
- for n=0:0.1:2
- step=0.1;%%%%%%%%%%%%%%%%时间间隔
- %%%%%%%%%%%%%%%%%%%%%%%%角度相关参数
- c1=cos(x1/(2*pi));
- c2=cos(x2/(2*pi));
- c3=cos(x3/(2*pi));
- c4=cos(x4/(2*pi));
- c5=cos(x5/(2*pi));
- c6=cos(x6/(2*pi));
- s1=sin(x1/(2*pi));
- s2=sin(x2/(2*pi));
- s3=sin(x3/(2*pi));
- s4=sin(x4/(2*pi));
- s5=sin(x5/(2*pi));
- s6=sin(x6/(2*pi));
- %%%%%%%%%%%%%%%%%%%%%%%变换矩阵计算
- t1=[c1 0 -s1 0;s1 0 c1 0;0 -1 0 d1;0 0 0 1];
- t2=[c2 -s2 0 a2*c2;s2 c2 0 a2*s2;0 0 1 0;0 0 0 1];
- t3=[c3 0 -s3 a3*c3;s3 0 c3 a3*s3;0 -1 0 0;0 0 0 1];
- t4=[c4 0 s4 0;s4 0 -c4 0;0 1 0 d4;0 0 0 1];
- t5=[c5 0 -s5 0;s5 0 c5 0;0 -1 0 0;0 0 0 1];
- t6=[c6 -s6 0 0;s6 c6 0 0;0 0 1 d6;0 0 0 1];
- t=t1*t2*t3*t4*t5*t6;
- Qi=[0 -1 0 0;1 0 0 0;0 0 0 0;0 0 0 0];%%%%%%%%%%%%矩阵
- %%%%%%%%%%%%%%%%%%%%%%%%偏导数
- U11=1*Qi*t1;
- U12=0;
- U13=0;
- U14=0;
- U15=0;
- U16=0;
- U21=1*Qi*t1*t2;
- U22=t1*Qi*t2;
- U23=0;
- U24=0;
- U25=0;
- U26=0;
- U31=1*Qi*t1*t2*t3;
- U32=t1*Qi*t2*t3;
- U33=t1*t2*Qi*t3;
- U34=0;
- U35=0;
- U36=0;
- U41=1*Qi*t1*t2*t3*t4;
- U42=t1*Qi*t2*t3*t4;
- U43=t1*t2*Qi*t3*t4;
- U44=t1*t2*t3*Qi*t4;
- U45=0;
- U46=0;
- U51=1*Qi*t1*t2*t3*t4*t5;
- U52=t1*Qi*t2*t3*t4*t5;
- U53=t1*t2*Qi*t3*t4*t5;
- U54=t1*t2*t3*Qi*t4*t5;
- U55=t1*t2*t3*t4*Qi*t5;
- U56=0;
- U61=1*Qi*t1*t2*t3*t4*t5*t6;
- U62=t1*Qi*t2*t3*t4*t5*t6;
- U63=t1*t2*Qi*t3*t4*t5*t6;
- U64=t1*t2*t3*Qi*t4*t5*t6;
- U65=t1*t2*t3*t4*Qi*t5*t6;
- U66=t1*t2*t3*t4*t5*Qi*t6;
- %%%%%%%%%%%%%%%%%%%%%%%%%%%伪惯量矩阵
- I1=[(-d1^2*m1+d1^2*m1+0)/2 0 0 0;0 (d1^2*m1-d1^2*m1+0)/2 0 0;0 0 (d1^2*m1+d1^2*m1-0)/2 m1*d1;0 0 m1*d1 m1];
- I2=[(-((a2*cos(x2))^2+(a2*sin(x2))^2)*m2+(a2*sin(x2))^2*m2+(a2*cos(x2))^2*m2)/2 0 0 0;
- 0 (((a2*cos(x2))^2+(a2*sin(x2))^2)*m2-(a2*sin(x2))^2*m2+(a2*cos(x2))^2*m2)/2 -a2*cos(x2)*a2*sin(x2) m2*a2*cos(x2);
- 0 -a2*cos(x2)*a2*sin(x2) (((a2*cos(x2))^2+(a2*sin(x2)^2)*m2+(a2*sin(x2))^2*m2-(a2*cos(x2))^2*m2))/2 a2*sin(x2)*m2;
- 0 a2*cos(x2)*m2 a2*sin(x2)*m2 m2];
- I3=[(-((a3*cos(x3))^2+(a3*sin(x3))^2)*m3+(a3*sin(x3))^2*m3+(a3*cos(x3))^2*m3)/2 0 0 0;
- 0 (((a3*cos(x3))^2+(a3*sin(x3))^2)*m3-(a3*sin(x3))^2*m3+(a3*cos(x3))^2*m3)/2 -a3*cos(x3)*a3*sin(x3) m3*a3*cos(x3);
- 0 -a3*cos(x3)*a3*sin(x3) (((a3*cos(x3))^2+(a3*sin(x3)^2)*m3+(a3*sin(x3))^2*m3-(a3*cos(x3))^2*m3))/2 a3*sin(x3)*m3;
- 0 a3*cos(x3)*m3 a3*sin(x3)*m3 m3];
- I4=[(-d4^2*m4+0+d4^2*m4)/2 0 0 0;0 (d4^2*m4-0+d4^2*m4)/2 0 m4*d4;0 0 (d4^2*m4+0-d4^2*m4)/2 0;0 m4*d4 0 m4];
- I5=[0 0 0 0;0 0 0 0;0 0 0 0;0 0 0 m5];
- I6=[(-d6^2*m6+d6^2*m6+0)/2 0 0 0;0 (d6^2*m6-d6^2*m6+0)/2 0 0;0 0 (d6^2*m6+d6^2*m6-0)/2 m6*d6;0 0 m6*d6 m6];
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%加速度相关的对称矩阵
- D11=trace(U11*I1*U11')+trace(U21*I2*U21')+trace(U31*I3*U31')+trace(U41*I4*U41')+trace(U51*I5*U51')+trace(U61*I6*U61');
- D12=trace(U22*I2*U21')+trace(U32*I3*U31')+trace(U42*I4*U41')+trace(U52*I5*U51')+trace(U62*I6*U61');
- D13=trace(U33*I3*U31')+trace(U43*I4*U41')+trace(U53*I5*U53')+trace(U63*I6*U63');
- D14=trace(U44*I4*U41')+trace(U54*I5*U51')+trace(U64*I6*U61');
- D15=trace(U55*I5*U51')+trace(U65*I6*U61');
- D16=trace(U66*I6*U61');
- D22=trace(U22*I2*U22')+trace(U32*I3*U32')+trace(U42*I4*U42')+trace(U52*I5*U52')+trace(U62*I6*U62');
- D23=trace(U33*I3*U32')+trace(U43*I4*U42')+trace(U53*I5*U52')+trace(U63*I6*U62');
- D24=trace(U44*I4*U42')+trace(U54*I5*U52')+trace(U64*I6*U62');
- D25=trace(U55*I5*U52')+trace(U65*I6*U62');
- D26=trace(U66*I6*U62');
- D33=trace(U33*I3*U33')+trace(U43*I4*U43')+trace(U53*I5*U53')+trace(U63*I6*U63');
- D34=trace(U44*I4*U43')+trace(U54*I5*U53')+trace(U64*I6*U63');
- D35=trace(U55*I5*U53')+trace(U65*I6*U63');
- D36=trace(U66*I6*U63');
- D44=trace(U44*I4*U44')+trace(U54*I5*U54')+trace(U64*I6*U64');
- D45=trace(U55*I5*U54')+trace(U65*I6*U64');
- D46=trace(U66*I6*U64');
- D55=trace(U55*I5*U55')+trace(U65*I6*U65');
- D56=trace(U66*I6*U65');
- D66=trace(U66*I6*U66');
- D=[D11 D12 D13 D14 D15 D16;D12 D22 D23 D24 D25 D26;D13 D23 D33 D34 D35 D36;
- D14 D24 D34 D44 D45 D46;D24 34 35 D45 D55 D56;D14 D24 D34 D46 D56 D66];
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%科氏力和向心力项
- h111=trace((U11*I1*U11)')+trace((U11*I2*U12)')+trace((U11*I3*U13)')+trace((U11*I4+U14)')+trace((U11*I5*U15)')+trace((U11*I6*U16)');
- h112=trace((U11*I2*U12)')+trace((U11*I3*U13)')+trace((U11*I4+U14)')+trace((U11*I5*U15)')+trace((U11*I6*U16)');
- h113=trace((U11*I3*U13)')+trace((U11*I4+U14)')+trace((U11*I5*U15)')+trace((U11*I6*U16)');
- h114=trace((U11*I4+U14)')+trace((U11*I5*U15)')+trace((U11*I6*U16)');
- h115=trace((U11*I5*U15)')+trace((U11*I6*U16)');
- h116=trace((U11*I6*U16)');
- h121=trace((U12*I2*U12)')+trace((U12*I3*U13)')+trace((U12*I4*U14)')+trace((U12*I5*U15)')+trace((U12*I6*U16)');
- h122=trace((U12*I2*U12)')+trace((U12*I3*U13)')+trace((U12*I4*U14)')+trace((U12*I5*U15)')+trace((U12*I6*U16)');
- h123=trace((U12*I3*U13)')+trace((U12*I4*U14)')+trace((U12*I5*U15)')+trace((U12*I6*U16)');
- h124=trace((U12*I4*U14)')+trace((U12*I5*U15)')+trace((U12*I6*U16)');
- h125=trace((U12*I5*U15)')+trace((U12*I6*U16)');
- h126=trace((U12*I6*U16)');
- h131=trace((U13*I3*U13)')+trace((U13*I4*U14)')+trace((U13*I5*U15)')+trace((U13*I6*U16)');
- h132=trace((U13*I3*U13)')+trace((U13*I4*U14)')+trace((U13*I5*U15)')+trace((U13*I6*U16)');
- h133=trace((U13*I3*U13)')+trace((U13*I4*U14)')+trace((U13*I5*U15)')+trace((U13*I6*U16)');
- h134=trace((U13*I4*U14)')+trace((U13*I5*U15)')+trace((U13*I6*U16)');
- h135=trace((U13*I5*U15)')+trace((U13*I6*U16)');
- h136=trace((U13*I6*U16)');
- h141=trace((U14*I4*U14)')+trace((U14*I5*U15)')+trace((U14*I6*U16)');
- h142=trace((U14*I4*U14)')+trace((U14*I5*U15)')+trace((U14*I6*U16)');
- h143=trace((U14*I4*U14)')+trace((U14*I5*U15)')+trace((U14*I6*U16)');
- h144=trace((U14*I4*U14)')+trace((U14*I5*U15)')+trace((U14*I6*U16)');
- h145=trace((U14*I5*U15)')+trace((U14*I6*U16)');
- h146=trace((U14*I6*U16)');
- h151=trace((U15*I5*U15)')+trace((U15*I6*U16)');
- h152=trace((U15*I5*U15)')+trace((U15*I6*U16)');
- h153=trace((U15*I5*U15)')+trace((U15*I6*U16)');
- h154=trace((U15*I5*U15)')+trace((U15*I6*U16)');
- h155=trace((U15*I5*U15)')+trace((U15*I6*U16)');
- h156=trace((U15*I6*U16)');
- h161=trace((U16*I6*U16)');
- h162=trace((U16*I6*U16)');
- h163=trace((U16*I6*U16)');
- h164=trace((U16*I6*U16)');
- h165=trace((U16*I6*U16)');
- h166=trace((U16*I6*U16)');
- %%%%%%%%%%%%%%%%%%%%%%
- h211=trace((U21*I2*U22)')+trace((U21*I3*U23)')+trace((U21*I4+U24)')+trace((U21*I5*U25)')+trace((U21*I6*U26)');
- h212=trace((U21*I2*U22)')+trace((U21*I3*U23)')+trace((U21*I4+U24)')+trace((U21*I5*U25)')+trace((U21*I6*U26)');
- h213=trace((U21*I3*U23)')+trace((U21*I4+U24)')+trace((U21*I5*U25)')+trace((U21*I6*U26)');
- h214=trace((U21*I4+U24)')+trace((U21*I5*U25)')+trace((U21*I6*U26)');
- h215=trace((U21*I5*U25)')+trace((U21*I6*U26)');
- h216=trace((U21*I6*U26)');
- h221=trace((U22*I2*U22)')+trace((U22*I3*U23)')+trace((U22*I4*U24)')+trace((U22*I5*U25)')+trace((U22*I6*U26)');
- h222=trace((U22*I2*U22)')+trace((U22*I3*U23)')+trace((U22*I4*U24)')+trace((U22*I5*U15)')+trace((U22*I6*U26)');
- h223=trace((U22*I3*U23)')+trace((U22*I4*U24)')+trace((U22*I5*U25)')+trace((U22*I6*U26)');
- h224=trace((U22*I4*U24)')+trace((U22*I5*U25)')+trace((U22*I6*U26)');
- h225=trace((U22*I5*U25)')+trace((U22*I6*U26)');
- h226=trace((U22*I6*U26)');
- h231=trace((U23*I3*U23)')+trace((U23*I4*U24)')+trace((U23*I5*U25)')+trace((U23*I6*U26)');
- h232=trace((U23*I3*U23)')+trace((U23*I4*U24)')+trace((U23*I5*U25)')+trace((U23*I6*U26)');
- h233=trace((U23*I3*U23)')+trace((U23*I4*U24)')+trace((U23*I5*U25)')+trace((U23*I6*U26)');
- h234=trace((U23*I4*U24)')+trace((U23*I5*U25)')+trace((U23*I6*U26)');
- h235=trace((U23*I5*U25)')+trace((U23*I6*U26)');
- h236=trace((U23*I6*U26)');
- h241=trace((U24*I4*U24)')+trace((U24*I5*U25)')+trace((U24*I6*U26)');
- h242=trace((U24*I4*U24)')+trace((U24*I5*U25)')+trace((U24*I6*U26)');
- h243=trace((U24*I4*U24)')+trace((U24*I5*U25)')+trace((U24*I6*U26)');
- h244=trace((U24*I4*U24)')+trace((U24*I5*U25)')+trace((U24*I6*U26)');
- h245=trace((U24*I5*U25)')+trace((U24*I6*U26)');
- h246=trace((U24*I6*U26)');
- h251=trace((U25*I5*U25)')+trace((U25*I6*U26)');
- h252=trace((U25*I5*U25)')+trace((U25*I6*U26)');
- h253=trace((U25*I5*U25)')+trace((U25*I6*U26)');
- h254=trace((U25*I5*U25)')+trace((U25*I6*U26)');
- h255=trace((U25*I5*U25)')+trace((U25*I6*U26)');
- h256=trace((U25*I6*U26)');
- h261=trace((U26*I6*U26)');
- h262=trace((U26*I6*U26)');
- h263=trace((U26*I6*U26)');
- h264=trace((U26*I6*U26)');
- h265=trace((U26*I6*U26)');
- h266=trace((U26*I6*U26)');
- %%%%%%%%%%%%%%%%%%%%%%%%
- h311=trace((U31*I3*U33)')+trace((U31*I4+U34)')+trace((U31*I5*U35)')+trace((U31*I6*U36)');
- h312=trace((U31*I3*U33)')+trace((U31*I4+U34)')+trace((U31*I5*U35)')+trace((U31*I6*U36)');
- h313=trace((U31*I3*U33)')+trace((U31*I4+U34)')+trace((U31*I5*U35)')+trace((U31*I6*U36)');
- h314=trace((U31*I4+U34)')+trace((U31*I5*U35)')+trace((U31*I6*U36)');
- h315=trace((U31*I5*U35)')+trace((U31*I6*U36)');
- h316=trace((U31*I6*U36)');
- h321=trace((U32*I3*U33)')+trace((U32*I4*U34)')+trace((U32*I5*U35)')+trace((U32*I6*U36)');
- h322=trace((U32*I3*U33)')+trace((U32*I4*U34)')+trace((U32*I5*U35)')+trace((U32*I6*U36)');
- h323=trace((U32*I3*U33)')+trace((U32*I4*U34)')+trace((U32*I5*U35)')+trace((U32*I6*U36)');
- h324=trace((U32*I4*U34)')+trace((U32*I5*U35)')+trace((U32*I6*U36)');
- h325=trace((U32*I5*U35)')+trace((U32*I6*U36)');
- h326=trace((U32*I6*U36)');
- h331=trace((U33*I3*U33)')+trace((U33*I4*U34)')+trace((U33*I5*U35)')+trace((U33*I6*U36)');
- h332=trace((U33*I3*U33)')+trace((U33*I4*U34)')+trace((U33*I5*U35)')+trace((U33*I6*U36)');
- h333=trace((U33*I3*U33)')+trace((U33*I4*U34)')+trace((U33*I5*U35)')+trace((U33*I6*U36)');
- h334=trace((U33*I4*U34)')+trace((U33*I5*U35)')+trace((U33*I6*U36)');
- h335=trace((U33*I5*U35)')+trace((U33*I6*U36)');
- h336=trace((U33*I6*U36)');
- h341=trace((U34*I4*U34)')+trace((U34*I5*U35)')+trace((U34*I6*U36)');
- h342=trace((U34*I4*U34)')+trace((U34*I5*U35)')+trace((U34*I6*U36)');
- h343=trace((U34*I4*U34)')+trace((U34*I5*U35)')+trace((U34*I6*U36)');
- h344=trace((U34*I4*U34)')+trace((U34*I5*U35)')+trace((U34*I6*U36)');
- h345=trace((U34*I5*U35)')+trace((U34*I6*U36)');
- h346=trace((U34*I6*U36)');
- h351=trace((U35*I5*U35)')+trace((U35*I6*U36)');
- h352=trace((U35*I5*U35)')+trace((U35*I6*U36)');
- h353=trace((U35*I5*U35)')+trace((U35*I6*U36)');
- h354=trace((U35*I5*U35)')+trace((U35*I6*U36)');
- h355=trace((U35*I5*U35)')+trace((U35*I6*U36)');
- h356=trace((U35*I6*U36)');
- h361=trace((U36*I6*U36)');
- h362=trace((U36*I6*U36)');
- h363=trace((U36*I6*U36)');
- h364=trace((U36*I6*U36)');
- h365=trace((U36*I6*U36)');
- h366=trace((U36*I6*U36)');
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- h411=trace((U41*I4+U44)')+trace((U41*I5*U45)')+trace((U41*I6*U46)');
- h412=trace((U41*I4+U44)')+trace((U41*I5*U45)')+trace((U41*I6*U46)');
- h413=trace((U41*I4+U44)')+trace((U41*I5*U45)')+trace((U41*I6*U46)');
- h414=trace((U41*I4+U44)')+trace((U41*I5*U45)')+trace((U41*I6*U46)');
- h415=trace((U41*I5*U45)')+trace((U41*I6*U46)');
- h416=trace((U41*I6*U46)');
- h421=trace((U42*I4*U44)')+trace((U42*I5*U45)')+trace((U42*I6*U46)');
- h422=trace((U42*I4*U44)')+trace((U42*I5*U45)')+trace((U42*I6*U46)');
- h423=trace((U42*I4*U44)')+trace((U42*I5*U45)')+trace((U42*I6*U46)');
- h424=trace((U42*I4*U44)')+trace((U42*I5*U45)')+trace((U42*I6*U46)');
- h425=trace((U42*I5*U45)')+trace((U42*I6*U46)');
- h426=trace((U42*I6*U46)');
- h431=trace((U43*I4*U44)')+trace((U43*I5*U45)')+trace((U43*I6*U46)');
- h432=trace((U43*I4*U44)')+trace((U43*I5*U45)')+trace((U43*I6*U46)');
- h433=trace((U43*I4*U44)')+trace((U43*I5*U45)')+trace((U43*I6*U46)');
- h434=trace((U43*I4*U44)')+trace((U43*I5*U45)')+trace((U43*I6*U46)');
- h435=trace((U43*I5*U45)')+trace((U43*I6*U46)');
- h436=trace((U43*I6*U46)');
- h441=trace((U44*I4*U44)')+trace((U44*I5*U45)')+trace((U44*I6*U46)');
- h442=trace((U44*I4*U44)')+trace((U44*I5*U45)')+trace((U44*I6*U46)');
- h443=trace((U44*I4*U44)')+trace((U44*I5*U45)')+trace((U44*I6*U46)');
- h444=trace((U44*I4*U44)')+trace((U44*I5*U45)')+trace((U44*I6*U46)');
- h445=trace((U44*I5*U45)')+trace((U44*I6*U46)');
- h446=trace((U44*I6*U46)');
- h451=trace((U45*I5*U45)')+trace((U45*I6*U46)');
- h452=trace((U45*I5*U45)')+trace((U45*I6*U46)');
- h453=trace((U45*I5*U45)')+trace((U45*I6*U46)');
- h454=trace((U45*I5*U45)')+trace((U45*I6*U46)');
- h455=trace((U45*I5*U45)')+trace((U45*I6*U46)');
- h456=trace((U45*I6*U46)');
- h461=trace((U46*I6*U46)');
- h462=trace((U46*I6*U46)');
- h463=trace((U46*I6*U46)');
- h464=trace((U46*I6*U46)');
- h465=trace((U46*I6*U46)');
- h466=trace((U46*I6*U46)');
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- h511=trace((U51*I5*U55)')+trace((U51*I6*U56)');
- h512=trace((U51*I5*U55)')+trace((U51*I6*U56)');
- h513=trace((U51*I5*U55)')+trace((U51*I6*U56)');
- h514=trace((U51*I5*U55)')+trace((U51*I6*U56)');
- h515=trace((U51*I5*U55)')+trace((U51*I6*U56)');
- h516=trace((U51*I6*U56)');
- h521=trace((U52*I5*U55)')+trace((U52*I6*U56)');
- h522=trace((U52*I5*U55)')+trace((U52*I6*U56)');
- h523=trace((U52*I5*U55)')+trace((U52*I6*U56)');
- h524=trace((U52*I5*U55)')+trace((U52*I6*U56)');
- h525=trace((U52*I5*U55)')+trace((U52*I6*U56)');
- h526=trace((U52*I6*U56)');
- h531=trace((U53*I5*U55)')+trace((U53*I6*U56)');
- h532=trace((U53*I5*U55)')+trace((U53*I6*U56)');
- h533=trace((U53*I5*U55)')+trace((U53*I6*U56)');
- h534=trace((U53*I5*U55)')+trace((U53*I6*U56)');
- h535=trace((U53*I5*U55)')+trace((U53*I6*U56)');
- h536=trace((U53*I6*U56)');
- h541=trace((U54*I5*U55)')+trace((U54*I6*U56)');
- h542=trace((U54*I5*U55)')+trace((U54*I6*U56)');
- h543=trace((U54*I5*U55)')+trace((U54*I6*U56)');
- h544=trace((U54*I5*U55)')+trace((U54*I6*U56)');
- h545=trace((U54*I5*U55)')+trace((U54*I6*U56)');
- h546=trace((U54*I6*U56)');
- h551=trace((U55*I5*U55)')+trace((U55*I6*U56)');
- h552=trace((U55*I5*U55)')+trace((U55*I6*U56)');
- h553=trace((U55*I5*U55)')+trace((U55*I6*U56)');
- h554=trace((U55*I5*U55)')+trace((U55*I6*U56)');
- h555=trace((U55*I5*U55)')+trace((U55*I6*U56)');
- h556=trace((U55*I6*U56)');
- h561=trace((U56*I6*U56)');
- h562=trace((U56*I6*U56)');
- h563=trace((U56*I6*U56)');
- h564=trace((U56*I6*U46)');
- h565=trace((U56*I6*U56)');
- h566=trace((U56*I6*U56)');
- %%%%%%%%%%%%%%%%%%%%%%%%%%
- h611=trace((U61*I6*U66)');
- h612=trace((U61*I6*U66)');
- h613=trace((U61*I6*U66)');
- h614=trace((U61*I6*U66)');
- h615=trace((U61*I6*U66)');
- h616=trace((U61*I6*U66)');
- h621=trace((U62*I6*U66)');
- h622=trace((U62*I6*U66)');
- h623=trace((U62*I6*U66)');
- h624=trace((U62*I6*U66)');
- h625=trace((U62*I6*U66)');
- h626=trace((U62*I6*U66)');
- h631=trace((U63*I6*U66)');
- h632=trace((U63*I6*U66)');
- h633=trace((U63*I6*U66)');
- h634=trace((U63*I6*U66)');
- h635=trace((U63*I6*U66)');
- h636=trace((U63*I6*U66)');
- h641=trace((U64*I6*U66)');
- h642=trace((U64*I6*U66)');
- h643=trace((U64*I6*U66)');
- h644=trace((U64*I6*U66)');
- h645=trace((U64*I6*U66)');
- h646=trace((U64*I6*U66)');
- h651=trace((U65*I6*U66)');
- h652=trace((U65*I6*U66)');
- h653=trace((U65*I6*U66)');
- h654=trace((U65*I6*U66)');
- h655=trace((U65*I6*U66)');
- h656=trace((U65*I6*U66)');
- h661=trace((U66*I6*U66)');
- h662=trace((U66*I6*U66)');
- h663=trace((U66*I6*U66)');
- h664=trace((U66*I6*U66)');
- h665=trace((U66*I6*U66)');
- h666=trace((U66*I6*U66)');
- h1=[h111 h112 h113 h114 h115 h116;h112 h122 h123 h124 h125 h126;h113 h123 h133 h134 h135 h136;
- h114 h124 h134 h144 h145 h146;h115 h125 h135 h145 h155 h156;h116 h126 h136 h146 h156 h166];
- h2=[h211 h212 h213 h214 h215 h216;h212 h222 h223 h224 h225 h226;h213 h223 h233 h234 h235 h236;
- h214 h224 h234 h244 h245 h246;h215 h225 h235 h245 h255 h256;h216 h226 h236 h246 h256 h266];
- h3=[h311 h312 h313 h314 h315 h316;h312 h322 h323 h324 h325 h326;h313 h323 h333 h334 h335 h336;
- h314 h324 h334 h344 h345 h346;h315 h325 h335 h345 h355 h356;h316 h326 h336 h346 h356 h366];
- h4=[h411 h412 h413 h414 h415 h416;h412 h422 h423 h424 h425 h426;h413 h423 h433 h434 h435 h436;
- h414 h424 h434 h444 h445 h446;h415 h425 h435 h445 h455 h456;h416 h426 h436 h446 h456 h466];
- h5=[h511 h512 h513 h514 h515 h516;h512 h522 h523 h524 h525 h526;h513 h523 h533 h534 h535 h536;
- h514 h524 h534 h544 h545 h546;h515 h525 h535 h545 h555 h556;h516 h526 h536 h546 h556 h566];
- h6=[h611 h612 h613 h614 h615 h616;h612 h622 h623 h624 h625 h626;h613 h623 h633 h634 h635 h636;
- h614 h624 h634 h644 h645 h646;h615 h625 h635 h645 h655 h656;h616 h626 h636 h646 h656 h666];
- %;H=[h1;h2;h3;h4;h5;h6]
- H=[h1*(x1)*(x1)';h2*(x2)*(x2x2)';h3*(x3x3)*(x3x3)';h4*(x4x4)*(x4x4)';h5*(x5x5)*(x5x5)';h6*(x6x6)*(x6x6)']
- %%%%%%%%%%%%%%%%%%%%重力项
- g=[0 -9.8 0 0];
- r1=[0;0;387.5;1];
- r2=[0;0;230;1];
- r3=[107;0;0;1];
- r4=[0;268;0;1];
- r5=[0;0;0;1];
- r6=[0;0;165.5;1];
- R=[r1;r2;r3;r4;r5;r6];
- c1=-(m1*g*U11*r1+m2*g*U21*r2+m3*g*U31*r3+m4*g*U41*r4+m5*g*U51*r5+m6*g*U61*r6);
- c2=-(m2*g*U22*r2+m3*g*U32*r3+m4*g*U42*r4+m5*g*U52*r5+m6*g*U62*r6);
- c3=-(m3*g*U33*r3+m4*g*U43*r4+m5*g*U53*r5+m6*g*U63*r6);
- c4=-(m4*g*U44*r4+m5*g*U54*r5+m6*g*U64*r6);
- c5=-(m5*g*U55*r5+m6*g*U66*r6);
- c6=-m6*g*U66*r6;
- C=[c1 c2 c3 c4 c5 c6]';
- %%%%%%%%%%%%%%%%%%%%以下是输入转矩函数T的分量(各电机的转矩)
- T1=2.84*sin(n/6+pi/2)
- T2=2.39*sin(n/6+pi/2)
- T3=1.35*sin(n/6+pi/2)
- T4=0.72*sin(n/6+pi/2)
- T5=0.317*sin(n/6+pi/2)
- T6=0.317*sin(n/6+pi/2)
- %%%%%%%%%%%%%%%%%%%%%%%%以下是电机的转矩函数T
- T=[T1;T2;T3;T4;T5;6];
- %%%%%%%%%Y表示变量
- W=[x1,x2,x3,x4,x5,x6]';%%%初始参数
- WW=[x1x1,x2x2,x3x3,x4x4,x5x5,x6x6]';%%%一阶导
- WWW=[x1x1x1,x2x2x2,x3x3x3,x4x4x4,x5x5x5,x6x6x6]';%%%上一时间的二阶导
- Q2=inv(D)*(T-h3*WW-C.*W)
- W1=inv(h3+(1/(step*step))*D)*(T-C+D*((1/(step*step))*W+1/step.*WW-(1/2)*WWW));
- WWW1=1/(step*step)*(W1-W)-1/step.*WW+(1/2)*WWW;
- WW1=WW+step.*WWW1;
- x1=W1(1,1);x2=W1(2,1);x3=W1(3,1);x4=W1(4,1);x5=W1(5,1);x6=W1(6,1);
- x1x1=WW1(1,1);x2x2=WW1(2,1);x3x3=WW1(3,1);x4x4=WW1(4,1);x5x5=WW1(5,1);x6x6=WW1(6,1);
- x1x1x1=WWW1(1,1);x2x2x2=WWW1(2,1);x3x3x3=WWW1(3,1);x4x4x4=WWW1(4,1);x5x5x5=WWW(5,1);x6x6x6=WWW1(6,1);
- hold on
- %%%%%%%%%%%%以下作出电机的输入图
- plot(n,Q2)
- end
复制代码
[ 本帖最后由 sigma665 于 2008-6-2 21:06 编辑 ] |
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