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The overall, closed-loop, controlled dynamics of a space satellite system can be approximated as: 6, (t) + u0, (t) + v8, (t) = w0; (t) having input 0; (t) (desired angle of orientation) and 0, (t) (actual angle of orientation). For u = 4.2, v = 29.8, w = 16.1, find the value of the controlled angle of orientation 0, (t) at t = 0.5 seconds, for a unit step input to the closed-loop system. You may assume zero initial conditions. (Hint: Use Laplace Transforms to find an expression for 0, (t) as a function of time)

The overall, closed-loop, controlled dynamics of a space satellite system can be approximated as: 6, (t) + u0, (t) + v8, (t) = w0; (t) having input 0; (t) (desired angle of orientation) and 0, (t) (actual angle of orientation). For u = 4.2, v = 29.8, w = 16.1, find the value of the controlled angle of orientation 0, (t) at t = 0.5 seconds, for a unit step input to the closed-loop system. You may assume zero initial conditions. (Hint: Use Laplace Transforms to find an expression for 0, (t) as a function of time)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The overall, closed-loop, controlled dynamics of a space satellite system can be approximated as: 6, (t) + u0, (t) + v8, (t) = w0; (t) having input 0; (t) (desired angle of orientation) and 0, (t) (actual angle of orientation). For u = 4.2, v = 29.8, w = 16.1, find the value of the controlled angle of orientation 0, (t) at t = 0.5 seconds, for a unit step input to the closed-loop system. You may assume zero initial conditions. (Hint: Use Laplace Transforms to find an expression for 0, (t) as a function of time)
Transcribed Image Text:The overall, closed-loop, controlled dynamics of a space satellite system can be approximated as: 6, (t) + u0, (t) + v8, (t) = w0; (t) having input 0; (t) (desired angle of orientation) and 0, (t) (actual angle of orientation). For u = 4.2, v = 29.8, w = 16.1, find the value of the controlled angle of orientation 0, (t) at t = 0.5 seconds, for a unit step input to the closed-loop system. You may assume zero initial conditions. (Hint: Use Laplace Transforms to find an expression for 0, (t) as a function of time)
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