Abstract
The paper deals with adaptive LQ cascade control design of a tubular chemical reactor with an exothermic consecutive reaction. The control is performed in primary and secondary control-loops where the primary controlled output of the reactor is the concentration of a main reaction product and the secondary output is the mean temperature of the reactant. A common control input is the coolant flow rate. The controller in the primary control-loop is a nonlinear P-controller with the gain calculated using simulated or measured steady-state characteristics of the reactor. The controller in the secondary control-loop is a LQ adaptive controller. The proposed method is verified by control simulations.
Highlights
Tubular chemical reactors (TCRs) are units frequently used in chemical industry, biotechnologies and some others
Their mathematical models are described by sets of nonlinear partial differential equations (PDEs)
The procedure for the adaptive control design in the inner control-loop is based on approximation of a nonlinear model of the TCR by a continuous-time external linear model (CT ELM) with recursively estimated parameters
Summary
Tubular chemical reactors (TCRs) are units frequently used in chemical industry, biotechnologies and some others. From the system theory point of view, TCRs belong to the class of nonlinear distributed parameter systems. Their mathematical models are described by sets of nonlinear partial differential equations (PDEs). Tubular chemical reactors belong to hardly controllable processes Difficulties associated with their control are given by their nonlinearity and by the fact that concentrations of reactants cannot mostly be measured continuously. The TCR control strategy is based on the fact that concentrations of components of reactions taking place in the reactor depend on the reactant temperature. The procedure for the adaptive control design in the inner control-loop is based on approximation of a nonlinear model of the TCR by a continuous-time external linear model (CT ELM) with recursively estimated parameters. The control is tested by simulations on the nonlinear model of the TCR with a consecutive exothermic reaction
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