· Σ D() Consider the system shown in Fig. 4.26, where D(a) = (2+0) (a) Prove that if the system is stable, it is capable

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· Σ D() Consider the system shown in Fig. 4.26, where D(a) = (2+0) (a) Prove that if the system is stable, it is capable of tracking a sinusoidal reference input sinuut with zero steady-state error. (Look at the transfer function from A to Z and consider the gain at ) (+1) (b) Use Routh's criterion to find the range of such that the closed-loop system remains stable if , 1 and a = 0.25. The general unity feedback system shown in Fig. 4.30 has disturbance inputs wy, w and up and is asymptotically stable. Also, K₂ (+) G₁(0)= & Πια (0) 25) Fr 11 (0+Pri G₂G) (a) Show that the system is of Type 0, Type is, and Type (+12) with respect to disturbance inputs ws. t, and we respectively. E G₂(0)= Fig 4.26 Fig 4.30