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Consider the control system closed-loop represented such a block diagram below:

Given that:  and 

a) Determine the values of  which the closed-system loop is stable.

b) Suppose that the disturbance  be sinusoidal with amplitude A and frequency . The exactly value of  is unknown, but know itself  rad/s

Is it possible to choose a value of  such that, in steady state, the amplitude of the output value is less than or equal to 1% of the value A?

If your answer is “YES”, so compute the value of  that guarantees this attenuation.

If your answer is “NO”, so show that there is no value of  that guarantees this attenuation.

However my question is very similar, i have some doubts about the letter b)





Is this correct?