Q5. (20’) A system has input u(t), output y(t) and transfer function G(s) . Let 500 G(s) = s² + 501s + 500 (a). Show that G(s) contains two dynamics components of very different time scales. (b). Obtain the reduced transfer function GR(s) of G(s) by neglecting the fast dynamics. (c). Let u(t) = e“, obtain the output y(t) using the full transfer function G(s). Then obtain y(t) using the reduced transfer function GR(s). (d). Show that the difference between the outputs of G(s) and Gr(s) is very small, i.e., the full dynamics can be approximated by the reduced dynamics.

Q5. (20’) A system has input u(t), output y(t) and transfer function G(s) . Let 500 G(s) = s² + 501s + 500 (a). Show that G(s) contains two dynamics components of very different time scales. (b). Obtain the reduced transfer function GR(s) of G(s) by neglecting the fast dynamics. (c). Let u(t) = e“, obtain the output y(t) using the full transfer function G(s). Then obtain y(t) using the reduced transfer function GR(s). (d). Show that the difference between the outputs of G(s) and Gr(s) is very small, i.e., the full dynamics can be approximated by the reduced dynamics.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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