title: Parameterized data-driven fuzzy model based optimal control of a semi-batch reactor.
abstract: 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.
authors.affiliation: Process Dynamics and Control Group, Chemical Engineering Division, CSIR-Indian Institute of Chemical Technology, Hyderabad 500007, India; Academy of Scientific and Innovative Research, CSIR-Indian Institute of Chemical Technology, Hyderabad 500007, India.
authors.forename: Reddi
authors.initials: R
authors.lastname: Kamesh
authors.affiliation: Process Dynamics and Control Group, Chemical Engineering Division, CSIR-Indian Institute of Chemical Technology, Hyderabad 500007, India; Academy of Scientific and Innovative Research, CSIR-Indian Institute of Chemical Technology, Hyderabad 500007, India. Electronic address: kyrani@iict.res.in.
authors.forename: K Yamuna
authors.initials: KY
authors.lastname: Rani
keywords: Chemical engineering, Process control, Parameterized Data-driven fuzzy (PDDF) modeling; Optimal control; Orthonormal polynomial approximations; Single rate and multirate cases