NON-LINEAR FERMENTER WITH PRESSURE DYNAMICS

NON-LINEAR FERMENTER WITH PRESSURE DYNAMICS - ‐ 1 – RH...

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NON LINEAR FERMENTER WITH PRESSURE DYNAMICS ME 697Y INTELLIGENT SYSTEMS SIDHARTH BALASUBRAMANIAM
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Fuzzy Internal Model Control Fuzzy Internal Model Control scheme is suitable to overcome any discrepancy may exist between the actual plant and the model, and different forms of disturbances may act on the system.
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Example considered: Nonlinear Fermenter With a constant input flow rate, the system has a single input, the valve position, and a single output, the air pressure. Because of the underlying physical mechanisms, and because of the nonlinear characteristic of the control valve, the process has a nonlinear steady state characteristic.
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Problem Formulation The following nonlinear differential equation is used as the simulation model which describes the pressure dynamics R : the gas constant (8.134 J mol lK 1), T : temperature (305 K), Vh : gas volume (0.015 m3), Og : gas flow rate (3.75 x 10 4 m3s
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Unformatted text preview: ‐ 1), – RH : radius of the outlet pipe (0.0178 m), – P0 : reference pressure (1.013 x 105 N m ‐ 2), – P0 : outside air density (1.2 Kg m ‐ a), – P : pressurein the tank (N m ‐ 2), – Kf : valve friction factor (J mol ‐ 1). Fuzzy membership Functions • The two inputs (Antecendent) Membership functions with the consequent part dependent on the Function evaluation. Internal Model Control • Similar Model to this was used and the Disturbances d1and d2 were considered. The Feedback Filter is also replaced by Butterworth Filter. The design is then used to correlate the Internal Model Control of the given model of the plant. MATLAB/Simulink Program • The Simulink Block Diagram of the controller and the system is given below. Results Obtained in MATLAB • Figures denoting the Step Input given to the system and the corresponding output of the system...
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