The satellite control system of Fig. P1.4-1 is not usable, since the response to any excitation includes

Question:

The satellite control system of Fig. P1.4-1 is not usable, since the response to any excitation includes an undamped sinusoid. The usual compensation for this system involves measuring the angular velocity dθ(t) dt . The feedback signal is then a linear sum of the position signal θ(t) and the velocity signal dθ(t) dt . This system is depicted in Fig. P1.4-4, and is said to have rate feedback. R(s) + E K Fig. P1.4-4 Js Ky Satellite S (a) Derive the transfer function for this system. e(s) / 0,(s) (b) The state equations for the satellite are The system characteristic equation is Show that SI - A |SI - A = 0 in part (b) is equal to the transfer