Question

matlab 非线性 参数 方程组 的解法？

2*s*w=(m*(Lf^2*Kf+Lr^2*Kr)+I*(Kf+Kr))/(m*I*V)
w^2=(Kf*Kr*L^2)/(m*I*V^2)+(Lr*Kr-Lf*Kf)/I
这是我需要求解的两个等式，所有字母均是各类参数，我想确定他们之间的关系也就是将某个参数用其余的参数表示，例如：w=f（V，m，I，Lf，Lr，Kr,Kf）求出f（）是什么，还请高手赐教

Answer 1

>>m= solve('2*s*w=(m*(Lf^2*Kf+Lr^2*Kr)+I*(Kf+Kr))/(m*I*V)','m')

m =

I*(Kf+Kr)/(2*s*w*I*V-Lf^2*Kf-Lr^2*Kr)

>> [m I]=solve('2*s*w=(m*(Lf^2*Kf+Lr^2*Kr)+I*(Kf+Kr))/(m*I*V)','w^2=(Kf*Kr*L^2)/(m*I*V^2)+(Lr*Kr-Lf*Kf)/I','m','I')

m =

[ 2*(Kf*Kr*L^2+1/2/(2*V*s*w*Lr*Kr-2*V*s*w*Lf*Kf-Lf^2*Kf*w^2-Lr^2*Kr*w^2)*(Kf*V*Lr*Kr-V*Lf*Kf^2+V*Lr*Kr^2-Kr*V*Lf*Kf-2*s*w*Kf*Kr*L^2+(-4*Kr^2*V*Lf*Kf^2*s*w*L^2+4*s^2*w^2*Kf^2*Kr^2*L^4-2*Kf^3*V^2*Lr*Kr*Lf-4*Kf^2*V^2*Lr*Kr^2*Lf+4*Kf^2*V*Lr*Kr^2*s*w*L^2-4*V*Lf*Kf^3*s*w*Kr*L^2-2*V^2*Lr*Kr^3*Lf*Kf+4*V*Lr*Kr^3*s*w*Kf*L^2+Kf^2*V^2*Lr^2*Kr^2+2*Kf*V^2*Lr^2*Kr^3+2*V^2*Lf^2*Kf^3*Kr+Kr^2*V^2*Lf^2*Kf^2+V^2*Lf^2*Kf^4+V^2*Lr^2*Kr^4-4*Lf^2*Kf^2*w^2*Kr^2*L^2-4*Lf^2*Kf^3*w^2*Kr*L^2-4*Lr^2*Kr^3*w^2*Kf*L^2-4*Lr^2*Kr^2*w^2*Kf^2*L^2)^(1/2))*V*Lr*Kr-1/2/(2*V*s*w*Lr*Kr-2*V*s*w*Lf*Kf-Lf^2*Kf*w^2-Lr^2*Kr*w^2)*(Kf*V*Lr*Kr-V*Lf*Kf^2+V*Lr*Kr^2-Kr*V*Lf*Kf-2*s*w*Kf*Kr*L^2+(-4*Kr^2*V*Lf*Kf^2*s*w*L^2+4*s^2*w^2*Kf^2*Kr^2*L^4-2*Kf^3*V^2*Lr*Kr*Lf-4*Kf^2*V^2*Lr*Kr^2*Lf+4*Kf^2*V*Lr*Kr^2*s*w*L^2-4*V*Lf*Kf^3*s*w*Kr*L^2-2*V^2*Lr*Kr^3*Lf*Kf+4*V*Lr*Kr^3*s*w*Kf*L^2+Kf^2*V^2*Lr^2*Kr^2+2*Kf*V^2*Lr^2*Kr^3+2*V^2*Lf^2*Kf^3*Kr+Kr^2*V^2*Lf^2*Kf^2+V^2*Lf^2*Kf^4+V^2*Lr^2*Kr^4-4*Lf^2*Kf^2*w^2*Kr^2*L^2-4*Lf^2*Kf^3*w^2*Kr*L^2-4*Lr^2*Kr^3*w^2*Kf*L^2-4*Lr^2*Kr^2*w^2*Kf^2*L^2)^(1/2))*V*Lf*Kf)/w^2*(2*V*s*w*Lr*Kr-2*V*s*w*Lf*Kf-Lf^2*Kf*w^2-Lr^2*Kr*w^2)/(Kf*V*Lr*Kr-V*Lf*Kf^2+V*Lr*Kr^2-Kr*V*Lf*Kf-2*s*w*Kf*Kr*L^2+(-4*Kr^2*V*Lf*Kf^2*s*w*L^2+4*s^2*w^2*Kf^2*Kr^2*L^4-2*Kf^3*V^2*Lr*Kr*Lf-4*Kf^2*V^2*Lr*Kr^2*Lf+4*Kf^2*V*Lr*Kr^2*s*w*L^2-4*V*Lf*Kf^3*s*w*Kr*L^2-2*V^2*Lr*Kr^3*Lf*Kf+4*V*Lr*Kr^3*s*w*Kf*L^2+Kf^2*V^2*Lr^2*Kr^2+2*Kf*V^2*Lr^2*Kr^3+2*V^2*Lf^2*Kf^3*Kr+Kr^2*V^2*Lf^2*Kf^2+V^2*Lf^2*Kf^4+V^2*Lr^2*Kr^4-4*Lf^2*Kf^2*w^2*Kr^2*L^2-4*Lf^2*Kf^3*w^2*Kr*L^2-4*Lr^2*Kr^3*w^2*Kf*L^2-4*Lr^2*Kr^2*w^2*Kf^2*L^2)^(1/2))/V]
[ 2*(Kf*Kr*L^2+1/2/(2*V*s*w*Lr*Kr-2*V*s*w*Lf*Kf-Lf^2*Kf*w^2-Lr^2*Kr*w^2)*(Kf*V*Lr*Kr-V*Lf*Kf^2+V*Lr*Kr^2-Kr*V*Lf*Kf-2*s*w*Kf*Kr*L^2-(-4*Kr^2*V*Lf*Kf^2*s*w*L^2+4*s^2*w^2*Kf^2*Kr^2*L^4-2*Kf^3*V^2*Lr*Kr*Lf-4*Kf^2*V^2*Lr*Kr^2*Lf+4*Kf^2*V*Lr*Kr^2*s*w*L^2-4*V*Lf*Kf^3*s*w*Kr*L^2-2*V^2*Lr*Kr^3*Lf*Kf+4*V*Lr*Kr^3*s*w*Kf*L^2+Kf^2*V^2*Lr^2*Kr^2+2*Kf*V^2*Lr^2*Kr^3+2*V^2*Lf^2*Kf^3*Kr+Kr^2*V^2*Lf^2*Kf^2+V^2*Lf^2*Kf^4+V^2*Lr^2*Kr^4-4*Lf^2*Kf^2*w^2*Kr^2*L^2-4*Lf^2*Kf^3*w^2*Kr*L^2-4*Lr^2*Kr^3*w^2*Kf*L^2-4*Lr^2*Kr^2*w^2*Kf^2*L^2)^(1/2))*V*Lr*Kr-1/2/(2*V*s*w*Lr*Kr-2*V*s*w*Lf*Kf-Lf^2*Kf*w^2-Lr^2*Kr*w^2)*(Kf*V*Lr*Kr-V*Lf*Kf^2+V*Lr*Kr^2-Kr*V*Lf*Kf-2*s*w*Kf*Kr*L^2-(-4*Kr^2*V*Lf*Kf^2*s*w*L^2+4*s^2*w^2*Kf^2*Kr^2*L^4-2*Kf^3*V^2*Lr*Kr*Lf-4*Kf^2*V^2*Lr*Kr^2*Lf+4*Kf^2*V*Lr*Kr^2*s*w*L^2-4*V*Lf*Kf^3*s*w*Kr*L^2-2*V^2*Lr*Kr^3*Lf*Kf+4*V*Lr*Kr^3*s*w*Kf*L^2+Kf^2*V^2*Lr^2*Kr^2+2*Kf*V^2*Lr^2*Kr^3+2*V^2*Lf^2*Kf^3*Kr+Kr^2*V^2*Lf^2*Kf^2+V^2*Lf^2*Kf^4+V^2*Lr^2*Kr^4-4*Lf^2*Kf^2*w^2*Kr^2*L^2-4*Lf^2*Kf^3*w^2*Kr*L^2-4*Lr^2*Kr^3*w^2*Kf*L^2-4*Lr^2*Kr^2*w^2*Kf^2*L^2)^(1/2))*V*Lf*Kf)/w^2*(2*V*s*w*Lr*Kr-2*V*s*w*Lf*Kf-Lf^2*Kf*w^2-Lr^2*Kr*w^2)/(Kf*V*Lr*Kr-V*Lf*Kf^2+V*Lr*Kr^2-Kr*V*Lf*Kf-2*s*w*Kf*Kr*L^2-(-4*Kr^2*V*Lf*Kf^2*s*w*L^2+4*s^2*w^2*Kf^2*Kr^2*L^4-2*Kf^3*V^2*Lr*Kr*Lf-4*Kf^2*V^2*Lr*Kr^2*Lf+4*Kf^2*V*Lr*Kr^2*s*w*L^2-4*V*Lf*Kf^3*s*w*Kr*L^2-2*V^2*Lr*Kr^3*Lf*Kf+4*V*Lr*Kr^3*s*w*Kf*L^2+Kf^2*V^2*Lr^2*Kr^2+2*Kf*V^2*Lr^2*Kr^3+2*V^2*Lf^2*Kf^3*Kr+Kr^2*V^2*Lf^2*Kf^2+V^2*Lf^2*Kf^4+V^2*Lr^2*Kr^4-4*Lf^2*Kf^2*w^2*Kr^2*L^2-4*Lf^2*Kf^3*w^2*Kr*L^2-4*Lr^2*Kr^3*w^2*Kf*L^2-4*Lr^2*Kr^2*w^2*Kf^2*L^2)^(1/2))/V]

I =

[ 1/2/(2*V*s*w*Lr*Kr-2*V*s*w*Lf*Kf-Lf^2*Kf*w^2-Lr^2*Kr*w^2)*(Kf*V*Lr*Kr-V*Lf*Kf^2+V*Lr*Kr^2-Kr*V*Lf*Kf-2*s*w*Kf*Kr*L^2+(-4*Kr^2*V*Lf*Kf^2*s*w*L^2+4*s^2*w^2*Kf^2*Kr^2*L^4-2*Kf^3*V^2*Lr*Kr*Lf-4*Kf^2*V^2*Lr*Kr^2*Lf+4*Kf^2*V*Lr*Kr^2*s*w*L^2-4*V*Lf*Kf^3*s*w*Kr*L^2-2*V^2*Lr*Kr^3*Lf*Kf+4*V*Lr*Kr^3*s*w*Kf*L^2+Kf^2*V^2*Lr^2*Kr^2+2*Kf*V^2*Lr^2*Kr^3+2*V^2*Lf^2*Kf^3*Kr+Kr^2*V^2*Lf^2*Kf^2+V^2*Lf^2*Kf^4+V^2*Lr^2*Kr^4-4*Lf^2*Kf^2*w^2*Kr^2*L^2-4*Lf^2*Kf^3*w^2*Kr*L^2-4*Lr^2*Kr^3*w^2*Kf*L^2-4*Lr^2*Kr^2*w^2*Kf^2*L^2)^(1/2))/V]
[ 1/2/(2*V*s*w*Lr*Kr-2*V*s*w*Lf*Kf-Lf^2*Kf*w^2-Lr^2*Kr*w^2)*(Kf*V*Lr*Kr-V*Lf*Kf^2+V*Lr*Kr^2-Kr*V*Lf*Kf-2*s*w*Kf*Kr*L^2-(-4*Kr^2*V*Lf*Kf^2*s*w*L^2+4*s^2*w^2*Kf^2*Kr^2*L^4-2*Kf^3*V^2*Lr*Kr*Lf-4*Kf^2*V^2*Lr*Kr^2*Lf+4*Kf^2*V*Lr*Kr^2*s*w*L^2-4*V*Lf*Kf^3*s*w*Kr*L^2-2*V^2*Lr*Kr^3*Lf*Kf+4*V*Lr*Kr^3*s*w*Kf*L^2+Kf^2*V^2*Lr^2*Kr^2+2*Kf*V^2*Lr^2*Kr^3+2*V^2*Lf^2*Kf^3*Kr+Kr^2*V^2*Lf^2*Kf^2+V^2*Lf^2*Kf^4+V^2*Lr^2*Kr^4-4*Lf^2*Kf^2*w^2*Kr^2*L^2-4*Lf^2*Kf^3*w^2*Kr*L^2-4*Lr^2*Kr^3*w^2*Kf*L^2-4*Lr^2*Kr^2*w^2*Kf^2*L^2)^(1/2))/V]

>>