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Unformatted text preview: satisFes the following criteria: 1. Rise time ≤ 1 sec. (Recall, for second order complex poles, t r ≈ 1 . 8 /ω n ); 2. Overshoot ≤ percentage that corresponds to damping factor 0.7 for the second order complex pole case; 3. 1 % Settling time ≤ 3 seconds (Recall, for second order complex poles, t s = 4 . 6 /ζω n ); Name: Problem 4 The water height in a certain leaky tank is governed by the diferential equation ˙ h = u10 √ h1 where u represents water Fow into the tank. 1. ±ind the operating condition that yields a linearized model given by a trans²er ²unction with a single pole at s =1. 2. Design a controller ²or the tank that measures h and produces values ²or u so that the linearized closedloop model at the operating condition ²rom part 1 satis³es all o² the properties speci³ed in problem 3....
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 Spring '10
 VolkanRodoplu
 1 %, 3 seconds, 1 sec, negative unity feedback

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