Advanced Process Control

A/D converter algorithms analog Analog computer applied boundary conditions Bristol array chemical reactor closed-loop constant control problem control scheme control system design control theory control variables controller design covariance Da₁ Da₂ define devices diagonal differential equations discussed distributed parameter systems dynamic eigenfunctions eigenvalues error estimates example problem F(hs feedback control law Figure filter first-order given by Eq heat illustrate initial condition input integral interactions interface iteration k₁ Laplace transform Let us consider linear systems loop lumped parameter matrix measured methods minicomputer minimal modal modeling equations multiplexing multivariable controller noninteracting control nonlinear system open-loop open-loop control optimal control optimal feedback control output process control proportional controller Riccati equations sensor set-point compensator shown in Fig solution steady-state stochastic T₁ take the form tank techniques temperature transfer function transform u₁ u₂ voltage x₁ y₁ Σ Σ ән ди дх