Figure 1 shows a DC motor driving a load and connected via a gear system. The rotation angle of the load is captured by an encoder connected to it. (a) Show the derivation (step-by-step) of the differential equation. (b) By referring to the answer in (a), derive the Laplace function of the system. (c) Illustrate and denote the diagram of the control system including its gain and transfer function of the plant. (d) Propose ONE (1) type of controller that can control this mechanical system. Gear Ratio n Motor 1 Load 1 C2

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.1P
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1. Figure 1 shows a DC motor driving a load and connected via a gear system. The
rotation angle of the load is captured by an encoder connected to it.
(a) Show the derivation (step-by-step) of the differential equation.
(b) By referring to the answer in (a), derive the Laplace function of the system.
(c) Illustrate and denote the diagram of the control system including its gain and
transfer function of the plant.
(d) Propose ONE (1) type of controller that can control this mechanical system.
Gear Ratio n
Motor 1
Load 1
C2
Figure 1
Transcribed Image Text:1. Figure 1 shows a DC motor driving a load and connected via a gear system. The rotation angle of the load is captured by an encoder connected to it. (a) Show the derivation (step-by-step) of the differential equation. (b) By referring to the answer in (a), derive the Laplace function of the system. (c) Illustrate and denote the diagram of the control system including its gain and transfer function of the plant. (d) Propose ONE (1) type of controller that can control this mechanical system. Gear Ratio n Motor 1 Load 1 C2 Figure 1
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