모두CBT
전달함수 G(s)=Y(s)U(s)=52s3+6s2+8s+10G(s)=\dfrac{Y(s)}{U(s)}=\dfrac{5}{2s^3+6s^2+8s+10}G(s)=U(s)Y(s)=2s3+6s2+8s+105에 대한 상태공간방정식으로 옳은 것은?
x˙=[010001−3−4−5]x+[001]u,y=[5200]x\dot{\boldsymbol{x}}=\begin{bmatrix}0&1&0\\0&0&1\\-3&-4&-5\end{bmatrix}\boldsymbol{x}+\begin{bmatrix}0\\0\\1\end{bmatrix}u,\quad y=\begin{bmatrix}\frac{5}{2}&0&0\end{bmatrix}\boldsymbol{x}x˙=00−310−401−5x+001u,y=[2500]x
x˙=[010001−5−4−3]x+[0052]u,y=[100]x\dot{\boldsymbol{x}}=\begin{bmatrix}0&1&0\\0&0&1\\-5&-4&-3\end{bmatrix}\boldsymbol{x}+\begin{bmatrix}0\\0\\\frac{5}{2}\end{bmatrix}u,\quad y=\begin{bmatrix}1&0&0\end{bmatrix}\boldsymbol{x}x˙=00−510−401−3x+0025u,y=[100]x
x˙=[010001−6−8−10]x+[002]u,y=[500]x\dot{\boldsymbol{x}}=\begin{bmatrix}0&1&0\\0&0&1\\-6&-8&-10\end{bmatrix}\boldsymbol{x}+\begin{bmatrix}0\\0\\2\end{bmatrix}u,\quad y=\begin{bmatrix}5&0&0\end{bmatrix}\boldsymbol{x}x˙=00−610−801−10x+002u,y=[500]x
x˙=[010001−10−8−6]x+[005]u,y=[200]x\dot{\boldsymbol{x}}=\begin{bmatrix}0&1&0\\0&0&1\\-10&-8&-6\end{bmatrix}\boldsymbol{x}+\begin{bmatrix}0\\0\\5\end{bmatrix}u,\quad y=\begin{bmatrix}2&0&0\end{bmatrix}\boldsymbol{x}x˙=00−1010−801−6x+005u,y=[200]x
오류나 개정된 내용이 보이면 알려주세요