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Ma3005 Control Theory

1. The Bode plot of a mechanical plant is shown in Fig. 1.
(a) What will be this mechanical plant’s steady-state output if it is subjected to an input of r(t) = 2sin(5t) – 6cos(20t + ?)?
 
(b) A unity feedback system is implemented on this mechanical plant.
i. Determine if the system is stable.
ii. Determine the system’s steady-state error when subjected to a unit step input. 
iii. Determine the system’s steady-state error when subjected to a unit ramp input. 

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