A space satellite system uses a negative feedback controller to readjust its orientation. The dynamics of the controller may be expressed as: ýc (t) + ayc (t) Kea (t). having input ea (t) (error between desired and actual angle of orientation) and output yc (t) (control signal applied to the satellite). For a = 8.9 and K = 15, find the value of the controller output yc (t) at t= 0.2 seconds for a unit step input to the controller. You may assume zero initial conditions. (Hint: Use Laplace Transforms to find an expression for yc (t) as a function of time)

A space satellite system uses a negative feedback controller to readjust its orientation. The dynamics of the controller may be expressed as: ýc (t) + ayc (t) Kea (t). having input ea (t) (error between desired and actual angle of orientation) and output yc (t) (control signal applied to the satellite). For a = 8.9 and K = 15, find the value of the controller output yc (t) at t= 0.2 seconds for a unit step input to the controller. You may assume zero initial conditions. (Hint: Use Laplace Transforms to find an expression for yc (t) as a function of time)

Electric Motor Control

10th Edition

ISBN:9781133702818

Author:Herman

Publisher:Herman

Chapter58: Programmable And Motion Control

Section: Chapter Questions

Problem 1SQ

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Question

A space satellite system uses a negative feedback controller to readjust its orientation. The dynamics of the controller may be expressed as:
ýc (t) + ayc (t)
Kea (t).
having input ea (t) (error between desired and actual angle of orientation) and output yc (t) (control signal applied to the satellite).
For a = 8.9 and K = 15, find the value of the controller output yc (t) at t= 0.2 seconds for a unit step input to the controller. You may assume zero initial
conditions.
(Hint: Use Laplace Transforms to find an expression for yc (t) as a function of time)

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