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adaptive control adaptive loop adaptive optimal control Analog Computer Program apparent conversion approximate Block Diagram catalyst bed Catalyst Deactivation Catalytic Reaction System circuit Constant Temperature cooling air correlator phase shift damping ratio deactivation factor determined differential amplifier dynamics equation Function of Temperature high methane initial high pass filter hunting loss Index of Performance infrared analyzer initial condition runs inlet methane flow input perturbations integral linear low methane initial maximum index methane compositions Methane Feedback Gain methane flow rate methane initial condition methane set point multiplier output objective function optimal feedback gains optimal values Optimization with Respect optimizing loop penalty boundary penalty region perturbation adaptive optimal perturbation amplitude perturbation frequency potentiometer Procedure for Catalytic process input process statics psig reactor power response surface SCFH of methane Shut Down Procedure signal silicon controlled rectifier sinusoidal perturbation adaptive Temperature and Methane Temperature Feedback Gain temperature recorder Thermocouple transfer function Tubing variable optimization