📄 chap5_4plant.m
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function [sys,x0,str,ts] = spacemodel(t,x,u,flag)switch flag,case 0, [sys,x0,str,ts]=mdlInitializeSizes;case 1, sys=mdlDerivatives(t,x,u);case 3, sys=mdlOutputs(t,x,u);case {2,4,9} sys=[];otherwise error(['Unhandled flag = ',num2str(flag)]);endfunction [sys,x0,str,ts]=mdlInitializeSizessizes = simsizes;sizes.NumContStates = 4;sizes.NumDiscStates = 0;sizes.NumOutputs = 4;sizes.NumInputs = 2;sizes.DirFeedthrough = 0;sizes.NumSampleTimes = 1;sys = simsizes(sizes);x0 = [3;0;0;1];str = [];ts = [0 0];function sys=mdlDerivatives(t,x,u)a=1.0;d1=a*0.3*sin(t);d2=a*0.1*(1-exp(-t));dq1=x(1); %Angle1 speed:dq1dq2=x(2); %Angle2 speed:dq2q1=x(3); %Angle1:q1q2=x(4); %Angle2:q2tol1=u(1);tol2=u(2);%%%%%%%%%%%%%%%%%%%%%%%%% From aslpd_con_s.mm1=10;m2=5;l1=1;l2=0.5;r1=0.5;r2=0.25;i1=0.83+m1*r1^2+m2*l1^2;i2=0.3+m2*r2^2;g=9.8;D=[i1+i2+2*m2*r2*l1*cos(q2) i2+m2*r2*l1*cos(q2); i2+m2*r2*l1*cos(q2) i2];C=[-m2*r2*l1*dq2*sin(q2),-m2*r2*l1*(dq1+dq2)*sin(q2); m2*r2*l1*dq1*sin(q2),0];G=[(m1*r1+m2*l1)*g*cos(q1)+m2*r2*g*cos(q1+q2);m2*r2*g*cos(q1+q2)];%%%%%%%%%%%%%%%%%%%%%%%%%%D2=inv(D);T=[d1;d2];A=-D2*C;Z=-D2*G;sys(1)=A(1,1)*x(1)+A(1,2)*x(2)+Z(1)+D2(1,1)*(-T(1)+tol1)+D2(1,2)*(-T(2)+tol2);sys(2)=A(2,1)*x(1)+A(2,2)*x(2)+Z(2)+D2(2,1)*(-T(1)+tol1)+D2(2,2)*(-T(2)+tol2);sys(3)=x(1);sys(4)=x(2);function sys=mdlOutputs(t,x,u)sys(1)=x(1); %Angle1 speed:dq1sys(2)=x(2); %Angle2 speed:dq2sys(3)=x(3); %Angle1:q1sys(4)=x(4); %Angle2:q2
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