GATE EC 2019 Set 1 — Question 43

MCQ+2 / -0.67MediumTransfer Function from StatesState-Space AnalysisControl Systems

Control Systems → State-Space Analysis → Transfer Function from States

Last updated 5 September 2026

Question

\dot{\mathbf{x}}(t) = \mathbf{A}\mathbf{x}(t) + \mathbf{B}u(t)

Your answer

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\mathbf{A} = \begin{bmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ -1 & -2 & -3 \end{bmatrix}

\mathbf{A} = \begin{bmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ -3 & -2 & -1 \end{bmatrix}

\mathbf{A} = \begin{bmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ -1 & -2 & -3 \end{bmatrix}

\mathbf{A} = \begin{bmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ -3 & -2 & -1 \end{bmatrix}

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H(s) = \frac{1}{s^3 + 3s^2 + 2s + 1}

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H(s) = \frac{1}{s^3 + 3s^2 + 2s + 1}

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