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GATE EC 2017 Set 2 — Question 47

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MCQ+2 / -0.67EasyState Variable ModelState-Space AnalysisControl SystemsFirst & Second-Order ResponseTime-Domain Analysis

Control Systems → State-Space Analysis → First & Second-Order Response

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A second-order LTI system is described by the following state equations,ddtx1(t)−x2(t)=0\frac{d}{dt}x_1(t) - x_2(t) = 0ddtx2(t)+2x1(t)+3x2(t)=r(t)\frac{d}{dt}x_2(t) + 2x_1(t) + 3x_2(t) = r(t)where x1(t)x_1(t) and x2(t)x_2(t) are the two state variables and r(t)r(t) denotes the input. The output c(t)=x1(t)c(t) = x_1(t). The system is
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