simulink_closed-loop_simulation

simulink_closed-loop_simulation - following step...

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Simulink Closed-Loop Simulation 1. Simulating feedback control systems 2. Biochemical reactor example
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Feedback Control Systems in Simulink Process model » Transfer function » State space » S-function Feedback controller » PID » Transfer function » State space » S-function To Workspace2 Setpoint To Workspace1 Output To Workspace Input Setpoint 1 Process bioreactor _basic PID Controller PID Bias 0 Add1 Add
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Biochemical Reactor Model Continuous bioreactor model Parameter values » K S = 1.2 g/L, μ max = 0.48 h -1 , Y X/S = 0.4 g/g » D = 0.15 h -1 , S i = 20 g/L Steady-state solutions ) , ( ) ( 1 ) ( ) ( ) , ( ) ( 2 / max 1 S X f X S Y S S D dt dS S K S S S X f X S DX dt dX S X i S = - - = + = = + - = g/L 0 g/L 20 g/L 78 . 7 g/L 545 . 0 Washout trivial - Non = = = = X S X S
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Simulink Model To Workspace2 Xsp To Workspace1 X To Workspace D Setpoint 7.78 PID Controller PID Bioreactor bioreactor _basic Bias 0.15 Add1 Add
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In-Class Exercise Find PI tuning parameters that stabilize the non-trivial steady state at X = 7.78 g/L. Find PI tuning parameters that allow the following step changes in X sp to be satisfactorily tracked: 7.78 7.0, 7.78 8.0 Find PI tuning parameters that allow the
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Unformatted text preview: following step disturbances in the feed substrate concentration S i to be satisfactorily rejected: 20 15, 20 25 Setpoint Stabilization 1 2 3 4 5 6 7 8 9 10 0.12 0.13 0.14 0.15 0.16 0.17 0.18 Time (h) Dilution Rate (h-1 ) 1 2 3 4 5 6 7 8 9 10 7 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 8 Time (h) Biomass (g/L) Biomass Setpoint Setpoint Tracking 1 2 3 4 5 6 7 8 9 10 6.8 7 7.2 7.4 7.6 7.8 8 8.2 Biomass (g/L) Time (h) Biomass Setpoint 1 2 3 4 5 6 7 8 9 10-0.2 0.2 0.4 0.6 0.8 1 1.2 Dilution Rate (h-1 ) Time (h) Negative change Positive change Disturbance Rejection 1 2 3 4 5 6 7 8 9 10 7.72 7.74 7.76 7.78 7.8 7.82 7.84 7.86 Time (h) Biomass (g/L) Negative change Positive change 1 2 3 4 5 6 7 8 9 10-0.05 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 Dilution Rate (h-1 ) Time (h) Negative change Positive change...
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simulink_closed-loop_simulation - following step...

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