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7 The input u(t) output y(t) relationship of an open loop plant is given by the differential equation d'y(t) dy(t) dt² dt + + y(t) = u(t) a) Determine the transfer function G(s) of the open loop plant, stating any assumptions made. ii) b) i) Find the characteristic equation of the open loop plant. Determine the poles of the open loop plant.

7 The input u(t) output y(t) relationship of an open loop plant is given by the differential equation d'y(t) dy(t) dt² dt + + y(t) = u(t) a) Determine the transfer function G(s) of the open loop plant, stating any assumptions made. ii) b) i) Find the characteristic equation of the open loop plant. Determine the poles of the open loop plant.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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7 The input u(t) output y(t) relationship of an open loop plant is given by the differential equation d'y(t) dy(t) + dt² dt +y(t) = u(t) a) Determine the transfer function G(s) of the open loop plant, stating any assumptions made. b) i) Find the characteristic equation of the open loop plant. ii) Determine the poles of the open loop plant. 1 c) 35 A controller with the transfer function C(s) = 1 + is added to the feedback path and a closed loop system is formed. Determine the transfer function of the closed loop system.
Transcribed Image Text:7 The input u(t) output y(t) relationship of an open loop plant is given by the differential equation d'y(t) dy(t) + dt² dt +y(t) = u(t) a) Determine the transfer function G(s) of the open loop plant, stating any assumptions made. b) i) Find the characteristic equation of the open loop plant. ii) Determine the poles of the open loop plant. 1 c) 35 A controller with the transfer function C(s) = 1 + is added to the feedback path and a closed loop system is formed. Determine the transfer function of the closed loop system.
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