Dynamics and Control of the Cumulative Mass Fraction of a Particle Size Distribution
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A transfer function for the dynamics of the cumulative mass fraction (CMF) of a particle size distribution (PSD) is developed. It fits a general form frequently encountered in systems modeled by hyperbolic partial differential equations. Systems of this type, called quasirational distributed systems (QRDS), can have an infinity of right half-plane zeros, but do not exhibit delayed or inverse response. A procedure for designing predictive controllers for QRDS using a Smith predictor structure is presented. It uses pole placement to obtain a controller parameterization with the adjustable parameters being selected to satisfy robustness specifications. A controller for CMF, designed using this procedure, performs better than a PID controller.