GATE EC 2018 Set 1 — Question 39

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

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

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The state equation and the output equation of a control system are given below:x˙=[41.540]x+[20]u\dot{\mathbf{x}} = \begin{bmatrix} -4 & -1.5 \\ 4 & 0 \end{bmatrix} \mathbf{x} + \begin{bmatrix} 2 \\ 0 \end{bmatrix} uy=[1.50.625]xy = \begin{bmatrix} 1.5 & 0.625 \end{bmatrix} \mathbf{x}The transfer function representation of the system is
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