An LTI dynamical system is described by its transfer function H(s) (supposed minimal). The asymptotic Bode diagrams of such a transfer fuction are reported below. -20 -40 -60 10 100 10 Frequency...





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An LTI dynamical system is described by its transfer function H(s)<br>(supposed minimal). The asymptotic Bode diagrams of such a transfer<br>fuction are reported below.<br>-20<br>-40<br>-60<br>10<br>100<br>10<br>Frequency (rad/s)<br>102<br>103<br>45<br>-90<br>-135<br>10<br>100<br>10<br>Frequency (rad/s)<br>Suppose that the input u(t) = (0.2+4 sin(400 t))=(t)is applied to<br>the considered system. Then, based on the given Bode plots<br>behaviour, compute, if possibile, the analytical expression of the<br>102<br>10<br>system steady state response yss(t).<br>Phase (deg)<br>Magnitude (dB)<br>20<br>

Extracted text: An LTI dynamical system is described by its transfer function H(s) (supposed minimal). The asymptotic Bode diagrams of such a transfer fuction are reported below. -20 -40 -60 10 100 10 Frequency (rad/s) 102 103 45 -90 -135 10 100 10 Frequency (rad/s) Suppose that the input u(t) = (0.2+4 sin(400 t))=(t)is applied to the considered system. Then, based on the given Bode plots behaviour, compute, if possibile, the analytical expression of the 102 10 system steady state response yss(t). Phase (deg) Magnitude (dB) 20
O It is not possible to compute the steady state response since the transfer function<br>H(s) is not known.<br>O Ys(t) = (20 + 0.4 sin(400 t – 1.5708))3(t)<br>Ys(t) = (2+ 0.04 sin(400 t<br>O Ya(t) = (2+ 0.4 sin(400 t – 0.7854))=(t)<br>1.5708))c(t)<br>%3D<br>ente<br>

Extracted text: O It is not possible to compute the steady state response since the transfer function H(s) is not known. O Ys(t) = (20 + 0.4 sin(400 t – 1.5708))3(t) Ys(t) = (2+ 0.04 sin(400 t O Ya(t) = (2+ 0.4 sin(400 t – 0.7854))=(t) 1.5708))c(t) %3D ente

Jun 11, 2022
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