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)
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Transcribed Image Text: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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