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Tennessee Eastman plant (TEP) involves very complex process with presence of non linearity, for that it is necessary the control of important variables. In this paper a TEP model is developed. Gray box models are selected to model the process. Gray box models have advantages with respect to classic model techniques, these techniques are knowledge models and empirical models. First, models are obtained employing mass and energy balances, defining parameters and making supposed. Then, from process data and employing MatLab® software, empirical models are obtained. The combination of all models constitutes the gray box final model and the general objective of this paper. [ABSTRACT FROM AUTHOR]

This paper proposes the design of an IMC-PID controller with a fractional order filter (IMC-FPID) for the effective control of water distribution in a main irrigation canal pool. From real-time data and applying the system identification procedure a dynamic mathematical model of this process is obtained, which is represented by a first-order transfer function with a time delay. Based on the model obtained an IMC-PID controller with a fractional order filter was designed that behaves effectively. The simulation results compare the performance of the proposed controller with a conventional IMC-PID controller. In this comparison, the performance index of the integral of absolute error (IAE) was used. The results obtained show that the proposed controller provides lower values of this index and consequently outperforms the conventional IMCPID controller in terms of performance and accuracy. [ABSTRACT FROM AUTHOR]