A closed-loop system is used to track the sun to obtain maximum power from a photovoltaic array. The tracking system may be represented by a unity feedback control system and Ge(s) G (s) = 100 TS + 1 where tau = 3 s nominally. (a) Calculate the sensitivity of this system for a small change in tau. (b) Calculate the time constant of the closed-loop system response.

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Please solve this practice problem. I'm not sure if when it asks to take the sensitivity for a small change if that means we use tau as our small change or not. Solving this problem showing all steps will be very helpful.
A closed-loop system is used to track the sun to obtain maximum power from a photovoltaic array.
The tracking system may be represented by a unity feedback control system and
Ge(s) G (s)
100
TS + 1
where tau = 3 s nominally.
(a) Calculate the sensitivity of this system for a small change in tau.
(b) Calculate the time constant of the closed-loop system response.
Transcribed Image Text:A closed-loop system is used to track the sun to obtain maximum power from a photovoltaic array. The tracking system may be represented by a unity feedback control system and Ge(s) G (s) 100 TS + 1 where tau = 3 s nominally. (a) Calculate the sensitivity of this system for a small change in tau. (b) Calculate the time constant of the closed-loop system response.
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