Consider a closed-loop system in unitary negative feedback form with plant and controller given by G(s)...

   

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Consider a closed-loop system in unitary negative feedback form with plant and controller given by G(s) = 1/s² + s D(S) = K (s + α 1² 15² + W ² respectively. 1) Prove that if the system is stable, it is capable of tracking a sinusoidal reference input ( r = sinw 0 t ) with zero steady-state error. Consider a closed-loop system in unitary negative feedback form with plant and controller given by G(s) = 1/s² + s D(S) = K (s + α 1² 15² + W ² respectively. 1) Prove that if the system is stable, it is capable of tracking a sinusoidal reference input ( r = sinw 0 t ) with zero steady-state error.