Assignment3 - such that the closed loop dominant time...

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E4265 All assignments must submitted by Due: Two weeks from lecture 24/02/10 Format: The solution must be submitted in word document by e-mail Continuous Assignment 3 A mathematical model for the level of gasoline in a hemispherical storage tank is given as: 1 2 2 1 1 ( ) (2 ) i dh F ch dt Rh h π = - - where R = 2m is the radius of hemispherical tank and constant c = 1.5m 5/2 /min . (a) Design a PI controller based on the linear approximation combined with direct synthesis method ( τ r =10) at initial steady-state conditions: F is = 1.35 m 3 /min, h s = 1.0 m; (b) Design three PI controllers based on the linear approximation combined with direct synthesis method ( τ r =10) for the at initial steady-state conditions: F is = 1.35 m 3 /min, h s1 = 0.5 m; F is = 1.35 m 3 /min, h s2 = 1.0 m; and F is = 1.35 m 3 /min, h s3 =1.5 m, respectively; (c) Linearize the process by global linearization method and design a PI controller based on the direct synthesis method ( τ r =10); (d) Design a generic model controller for the process, adjusting the the controller parameters
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Unformatted text preview: such that the closed loop dominant time constant is around ( τ r =10); (e) Assume the process initially rest at h s = 0.8 m, simulate the closed loop control system performance for ∆h s = 0.2 m at t=0 min (step input of 0.2m from 0.8 m to 1.0 m) ∆h s = 0.5 m at t=100 min (step input of 0.5m from 1.0 m to 1.5 m) ∆h s = − 0.5 m at t=200 min (step input of − 0.5m from 1.5 m to 1.0 m) ∆h s = 0.5 m at t=300 min (step input of − 0.5m from 1.0 m to 0.5 m) ∆h s =0.5 m at t=400 min (step input of 0.5m from 0.5 m back to 1.0 m) Comments on the performance of each design scheme. Note: 1. During the simulation, you may schedule the controllers based on the desired set-point level in part (b) of the model scheduling method. 2. You must use the original non-linear model as the process during the simulation....
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