Modified approach to distillation column control

Saša Lj. Prodanović, Novak N. Nedić, Vojislav Ž. Filipović, Ljubiša M. Dubonjić

Abstract


This paper contains methodology research for forming the control algorithm for a distil­lation column, modeled as TITO (two-input two-output) process. Its modified form was obtained by connecting the two parts, and this combination hasn't been applied for such a industrial plant, until now. These parts include: a simplified decoupler which was first designed and decentralized PID controller obtained using D-decomposition method for such decoupled process. The decoupler was designed in order to make process become diagonal, and parameters of PID controllers are defined for the two SISO (single-input single-output) processes starting from relation between IE (integral error) criterion and integrator gain, taking into account desired response characteristics deriving from tech­nological requirements of controlled plant. Their connecting provides centralized control. Analysis of the processes responses, obtained by the proposed algorithm and their com­par­ison with the results from the literature, were performed after the completion of the simulations. The proposed approach to the centralized controller design, beside its sim­plicity of usage and flexibility in achieving diversity of process dynamic behavior, gives better response characteristics, in comparison with existing control algorithms for distil­lation column in the literature.

Keywords


distillation column; decentralized controller design; decoupling control; PID control; D-decomposition; simulation

Full Text:

PDF (1,742 kB)

References


R.K. Wood, M.W. Berry, Terminal composition control of binary distillation column, Chem. Eng. Sci. 28 (1973) 1707–1717.

W.L. Luyben, Simple Method for Tuning SISO Controllers in Multivariable Systems, Ind. Eng. Chem. Process Des. Dev. 25 (1986) 654–660.

Q.G. Wang, B. Zou, T.H. Lee, Q. Bi, Auto-tuning of Multivariable PID Controllers from Decentralized Relay Feedback, Automatica 33 3 (1997) 319–330.

Q.G. Wang, Y. Zhang, M.S. Chiu, Decoupling internal model control for multivariable systems with multiple time delays, Chem. Eng. Sci. 57 (2002) 115–124.

Е. Atashpaz-Gargari, F. Hashemzadeh, C. Lucas, Designing MIMO PIID Controller using Colonial Competitive Algorithm: Applied to Distillation Column Process, in Proceedings of the IEEE Congress on Evolutionary Computation (CEC), Hong Kong, 2008, pp. 1929–1934.

J. Garrido, F. Vázquez, F. Morilla, Centralized Inverted Decoupling for TITO Processes, in Proceedings of the 15th IEEE International Conference on Emerging Technologies and Factory Automation, Bilbao, Spain, 2010, pp. 1–8.

Q.G. Wang, B. Huang, X. Guo, Auto-tuning of TITO decoupling controllers from step tests, ISA Trans. 39 (2000) 407–418.

K.J. Åström, K.H. Johansson, Q.G. Wang, Design of decoupled PI controller for two-by-two systems, IEE Proc. Control Theory Appl. 149 (2002) 74–81.

F. Vázquez, F. Morilla, Tuning decentralized PID controllers for MIMO systems with decouplers, in Proceedings of the 15th Triennial IFAC World Congress, Barcelona, Spain, 2002, pp. 2172–2178.

F. Morilla, F. Vázquez, J. Garrido, Centralized PID control by decoupling for TITO processes, in Proceedings of the 13th IEEE International Conference on Emerging Technologies and Factory Automation, Hamburg, Germany, 2008, pp. 1318–1325.

J. Garrido, F. Vázquez, F. Morilla, T. Hägglund, Practical advantages of inverted decoupling, Proc. Inst. Mech. Eng. I J. Syst. Control Eng. 225 (2010) 977–992.

J.B. Savković-Stevanović, Neuro-fuzzy system modeling and control application for a distillation plant, Hem. Ind. 54 (2000) 389–392.

M.A. García-Alvarado, I.I. Ruiz-López, T. Torres-Ramos, Tuning of multivariate PID controllers based on characteristic matrix eigenvalues, Lyapunov functions and robustness criteria. Chem. Eng. Sci. 60 (2005) 897–905.

T.N.L. Vu, M. Lee, Multi-loop PI controller design based on the direct synthesis for interacting multi-time delay processes, ISA Trans. 49 (2010) 79–86

Z.R. Hu, D.H. Li, J. Wang, F. Xue, Analytical Design of PID Decoupling Control for TITO Processes with Time Delays, J. Computers 6 (2011) 1064–1070.

D.M. Lima, J.E. Normey-Rico, A. Plucênio, T.L.M. Santos, M.V.C. Gomes, Improving robustness and disturbance rejection performance with industrial MPC, Anais do XX Congresso Brasileiro de Automática, Belo Horizonte, MG, 2014, pp. 3229–3236.

J.E. Normey-Rico, E.F. Camacho, Unified approach for robust dead-time compensator design, J. Process Con-trol 19 (2009) 38–47.

F. Morilla, J. Garrido, F. Vázquez, Control Multivariable por Desacoplo, Revista Iberoamericana de Automática e Informática industrial RIAI 10 (2013) 3–17 (in Spanish).

D. Mitrovic, Graphical analysis and synthesis of feedback control systems. I-Theory and analysis, II-Synthesis, III-Sampled-data feedback control systems, AIEE Trans. Appl. Industry 77 (1959) 476–496.

D. Siljak, Analysis and synthesis of feedback control systems in the parameter plane. I-Linear continuous systems, II-Sampled-data systems, AIEE Trans. Appl. Industry 83 (1964) 449–466.

D. Siljak, Generalization of the parameter planemethod, IEEE Trans. Autom. Control 11 (1966) 63–70.

LJ. Dubonjić, N. Nedić, V. Filipović, N. Pršić, Design of PI Controllers for Hydraulic Control Systems, Math. Probl. Eng. 2013 (2013) 1–10.

B.N. Le, Q.G. Wang, T.H. Lee, Development of D-decomposition method for computing stabilizing gain ranges for general delay systems, J. Process Control 25 (2015) 94–104.

E.N. Gryazina, B.T. Polyak, A.A. Tremba, D-decomposition Technique State-of-the-art, Autom, Remote Control 69 (2008) 1991–2026.

S.P. Bhattacharyya, A. Datta, L.H. Keel, Linear Control Theory: Structure, Robustness and Optimality, CRC Press, Taylor & Francis Group, Boca Raton, FL, 2009.

D.Lj. Debeljković, Stability of Automatic Control Systems over Finite and Infinite Time Interval, University of Belgrade, Faculty of Mechanical Engineering, Belgrade, 2011 (in Serbian).




DOI: http://dx.doi.org/10.2298/HEMIND160326028P

Refbacks

  • There are currently no refbacks.


Copyright (c) 2017 HEMIJSKA INDUSTRIJA

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.