Parameterized data-driven fuzzy model based optimal control of a semi-batch reactor

A parameterized data-driven fuzzy (PDDF) model structure is proposed for semi-batch processes, and its application for optimal control is illustrated. The orthonormally parameterized input trajectories, initial states and process parameters are the inputs to the model, which predicts the output traj...

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Bibliographic Details
Published in:ISA transactions 2016-09, Vol.64, p.418-430
Main Authors: Kamesh, Reddi, Rani, K. Yamuna
Format: Article
Language:English
Subjects:
Chemical engineering, Process control, Parameterized Data-driven fuzzy (PDDF) modeling
Fourier analysis
Fuzzy
Mathematical models
Optimal control
Optimization
Orthonormal polynomial approximations
Reactors
Regression
Single rate and multirate cases
Trajectories
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Summary:A parameterized data-driven fuzzy (PDDF) model structure is proposed for semi-batch processes, and its application for optimal control is illustrated. The orthonormally parameterized input trajectories, initial states and process parameters are the inputs to the model, which predicts the output trajectories in terms of Fourier coefficients. Fuzzy rules are formulated based on the signs of a linear data-driven model, while the defuzzification step incorporates a linear regression model to shift the domain from input to output domain. The fuzzy model is employed to formulate an optimal control problem for single rate as well as multi-rate systems. Simulation study on a multivariable semi-batch reactor system reveals that the proposed PDDF modeling approach is capable of capturing the nonlinear and time-varying behavior inherent in the semi-batch system fairly accurately, and the results of operating trajectory optimization using the proposed model are found to be comparable to the results obtained using the exact first principles model, and are also found to be comparable to or better than parameterized data-driven artificial neural network model based optimization results. •Parametrized data-driven fuzzy (PDDF) model proposed for semi-batch processes.•PDDF model used in optimal control formulation for single rate/multi-rate systems.•Proposed approaches applied to a multivariable semi-batch reactor optimal control.•Simulation results reveal that the PDDF model captured the nonlinear dynamics well.•Optimal control results with PDDF, exact and ANN models are found to be comparable.
ISSN:0019-0578
1879-2022
DOI:10.1016/j.isatra.2016.05.016