15. 考慮一個系統之方塊，如【圖 15】所示，則其轉移函數為何？(A) (G_1 G_2 G_3 G_4)/(1 - G_1 G_4 H_1 - G_2 G_3 H_2 + G_1 G_2 G_3 G_4 H_3)(B) (G_1 G_2 G_3 G_4)/(1 + G_1 G_4 H_1 - G_2 G_3 H_2 + G_1 G_2 G_3 G_4 H_3)(C) (G_1 G_2 G_3 G_4)/(1 + G_1 G_4 H_1 + G_2 G_3 H_2 + G_1 G_2 G_3 G_4 H_3)(D) (G_1 G_2 G_3 G_4)/(1 - G_1 G_4 H_1 + G_2 G_3 H_2 + G_1 G_2 G_3 G_4 H_3)

20. 則下列何者為可控制典型式(Controllable Canonical Form)？ (A) \( \dot{X}(t) = \begin{bmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ -\beta_1 & -\beta_2 & -\beta_3 \end{bmatrix} X(t) + \begin{bmatrix} 0 \\ 0 \\ 1 \end{bmatrix} U(t) \)，\( Y(t) = \begin{bmatrix} \alpha_1 & \alpha_2 & \alpha_3 \end{bmatrix} X(t) \) (B) \( \dot{X}(t) = \begin{bmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ \beta_3 & \beta_2 & \beta_1 \end{bmatrix} X(t) + \begin{bmatrix} 0 \\ 0 \\ 1 \end{bmatrix} U(t) \)，\( Y(t) = \begin{bmatrix} \alpha_3 & \alpha_2 & \alpha_1 \end{bmatrix} X(t) \) (C) \( \dot{X}(t) = \begin{bmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ -\beta_1 & -\beta_2 & -\beta_3 \end{bmatrix} X(t) + \begin{bmatrix} 0 \\ 0 \\ 1 \end{bmatrix} U(t) \)，\( Y(t) = \begin{bmatrix} \alpha_3 & \alpha_2 & \alpha_1 \end{bmatrix} X(t) \) (D) \( \dot{X}(t) = \begin{bmatrix} 0 & 0 & -\beta_1 \\ 1 & 0 & -\beta_2 \\ 0 & 1 & -\beta_3 \end{bmatrix} X(t) + \begin{bmatrix} 1 \\ 0 \\ 0 \end{bmatrix} U(t) \)，\( Y(t) = \begin{bmatrix} \alpha_1 & \alpha_2 & \alpha_3 \end{bmatrix} X(t) \)

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