申論題

3. Consider a feedback control system given below, where the transfer function of the plant G(s) = 2(s - 1)/(s + 2)²(s² + 2s +2), and the transfer function of the controller Gc(s), If Gc(s)=K,

(e). If G_c(s) = K/(s + a), and a pair of the system poles are located at -1 ±1.5j, please determine K and a. (4%)