A unit step is applied at t=0 to a first order system without time delay. The response has the value of 1.264 units at t=10 mins, and 2 units at steady state. The transfer function of the system is __________ 5/(1+220s) 4/(1+220s) 3/(1+600s) 2/(1+500s) 2/(1+600s)
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The time constant (τ) is the time it takes for the system to reach approximately 63.2% of its final value. In this case, the system reaches 1.264 units at t=10 mins, so we can use this information to find the time constant. 1.264 = 2 - (2-1.264)e^(-10/τ) 0.736 = Show more…
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