(a) In the system of Problem 7, J = 0.4 and K = 14.4, in appropriate units. The attitude of the satellite is initially at 0°. At t = 0, the attitude is commanded to 20°; that is, a 20° step is applied at t = 0. Find the response θ(t).

(b) Repeat part (a), with the initial conditions θ(0) = 10° and  Note that we have assumed that the units of time for the system is seconds.

(c) Verify the solution in part

(b) by first checking the initial conditions and then substituting the solution into the system differential equation.

Problem 7

The satellite of Section 1.4 is connected in the closed-loop control system shown in Fig. P1.4-1.
The torque is directly proportional to the error signal.

Transcribed Image Text:

6 (0) = 30 / s