Design and Testing of Decentralized PI (PID) Controller for MIMO Coupled Tank System
Abstract
Process Control techniques play an important role for increasing the product quality and production rate of industries while keeping the cost low. Non-dimensional tuning methods have been utilized for designing of decentralized PI (PID) controller for multiple input and multiple-output (MIMO) coupled tank system. In order to reduce the interaction between the system variables, the process is decoupled using a decoupler matrix. The first order plus dead time (FOPDT) model of both configurations i.e. SISO and MIMO for coupled tank system is determined in an open loop. Comparison of the simulated results with the results from an experimental test rig of the coupled tank system is also reported. In order to establish the efficacy of the scheme the proposed decentralized PID scheme is also tested with the biggest log modulus (BLT).
KEYWORDS
Decentralized PI (PID) controller, non-dimensional tuning, biggest log modulus, MIMO process, FOPDT.
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References
X. Luan, Q. Chen, and F. Liu, “Centralized PI control for high dimensional multivariable systems based on equivalent transfer function,†ISA Trans., vol. 53, no. 5, pp. 1554–1561, Sep. 2014.
V. Vijay Kumar, V. S. R. Rao, and M. Chidambaram, “Centralized PI controllers for interacting multivariable processes by synthesis method,†ISA Trans., vol. 51, no. 3, pp. 400–409, May 2012.
N. A. Selamat, F. S. Daud, H. I. Jaafar, and N. H. Shamsudin, “Comparison of LQR and PID controller tuning using PSO for Coupled Tank System,†in 2015 IEEE 11th International Colloquium on Signal Processing & Its Applications (CSPA), Kuala Lumpur, Malaysia, 2015, pp. 46–51.
N. Katal, P. Kumar, and S. Narayan, “Optimal PID controller for coupled-tank liquid-level control system using bat algorithm,†in 2014 International Conference on Power, Control and Embedded Systems (ICPCES), Allahabad, India, 2014, pp. 1–4.
L. Liang, “The application of fuzzy PID controller in coupled-tank liquid-level control system,†in 2011 International Conference on Electronics, Communications and Control (ICECC), Ningbo, China, 2011, pp. 2894–2897.
M. H. A. Jalil, M. H. Marzaki, N. Kasuan, M. N. Taib, and M. H. F. Rahiman, “Implementation of anti windup scheme on PID controller for regulating temperature of glycerin bleaching process,†in 2013 IEEE 3rd Conference on System Engineering and Technology, Shah Alam, Malaysia, 2013, pp. 113–117.
S. Tavakoli, J. Sadeghi, I. Griffin, and P. J. Fleming, “PI controller tuning for load disturbance rejection using constrained optimization,†Int. J. Dyn. Control, vol. 6, no. 1, pp. 188–199, Mar. 2018.
S. Tavakoli, I. Griffin, and P. J. Fleming, “Tuning of decentralised PI (PID) controllers for TITO processes,†Control Eng. Pract., vol. 14, no. 9, pp. 1069–1080, Sep. 2006.
S. Skogestad, “Simple analytic rules for model reduction and PID controller tuning,†J. Process Control, vol. 13, no. 4, pp. 291–309, Jun. 2003.
Q.-G. Wang, B. Huang, and X. Guo, “Auto-tuning of TITO decoupling controllers from step tests,†ISA Trans., vol. 39, no. 4, pp. 407–418, Sep. 2000.
Q. Xiong and W.-J. Cai, “Effective transfer function method for decentralized control system design of multi-input multi-output processes,†J. Process Control, vol. 16, no. 8, pp. 773–784, Sep. 2006.
S. R. Mahapatro, B. Subudhi, and S. Ghosh, “Design and experimental realization of a robust decentralized PI controller for a coupled tank system,†ISA Trans., Dec. 2018.
A. Srivastava and L. B. Prasad, “Decentralized Proportional Integral Control of Quadruple Tank System,†in 2018 Second International Conference on Advances in Computing, Control and Communication Technology (IAC3T), Allahabad, India, 2018, pp. 64–69.
C. S. Besta and M. Chidambaram, “Tuning of Multivariable PI Controllers by BLT Method for TITO Systems,†Chem. Eng. Commun., vol. 203, no. 4, pp. 527–538, Apr. 2016.
D. K. Maghade and B. M. Patre, “Decentralized PI/PID controllers based on gain and phase margin specifications for TITO processes,†ISA Trans., vol. 51, no. 4, pp. 550–558, Jul. 2012.
V. D. Hajare, B. M. Patre, A. A. Khandekar, and G. M. Malwatkar, “Decentralized PID controller design for TITO processes with experimental validation,†Int. J. Dyn. Control, vol. 5, no. 3, pp. 583–595, Sep. 2017.
D. Dougherty and D. Cooper, “A practical multiple model adaptive strategy for single-loop MPC,†Control Eng. Pract., vol. 11, no. 2, pp. 141–159, Feb. 2003.
N. H. Nguyen and P. D. Nguyen, “Overshoot and settling time assignment with PID for first-order and second-order systems,†IET Control Theory Appl., vol. 12, no. 17, pp. 2407–2416, Nov. 2018.
