Decentralized Fuzzy-PID Based Control Model for a Multivariable Liquid Level System
محورهای موضوعی : Fuzzy Systems
1 - Department of Electronic and Electrical Engineerin, Ladoke Akintola University of Technology, Ogbomoso, Oyo State, Nigeria.
کلید واژه: MIMO, Decentralized PID Combination, Overshoot, Fuzzy Logic, Multivariable,
چکیده مقاله :
Multivariable liquid level control is essential in process industries to ensure quality of the product and safety of the equipment. However, the significant problems of the control system include excessive time consumption and percentage overshoot, which result from ineffective performance of the tuning methods of the PID controllers used for the system. In this paper, fuzzy logic was used to tune the PID parameters to control a four-coupled-tank system in which liquid level in tanks 1 and 2 were controlled. Mass Balance equation was employed to generate the transfer function matrix for the system, while a Fuzzy Inference System (FIS) file is created and embedded in fuzzy logic controller blocks, making tuning rules for the PID. Matlab R2009b simulation of the system model shows that the rise time (RT), settling time (ST), peak value (PV) and percentage overshoot (PO) for the developed DF-PID controller were 1.48 s, 4.75 s, 15 cm and 0% respectively for tank-1; and 0.86 s, 2.62 s, 10 cm and 0% respectively for tank-2, which are the smallest and best values when compared with other PID tuning methods namely: Ziegler-Nichols, Cohen-Coon and Chien-Hrones-Reswick PID tuning methods.
[1] http://www.control-systems-principles.co.uk, last accessed on September 21, 2015.
[2] Magdy, G., Shabib, G. and Elbaset, A. A., 2017. A new coordinated fuzzy-PID controller for power system considering electric vehicles. Energy and Power Engineering, 9, pp. 425-435.
[3] Jhon, E. D., Victor, H. G. and Jorge, E. C., 2018. A tuning proposal for direct fuzzy PID controllers oriented to industrial continuous processes. In Advances in Proportional-Integral-Derivative Control, 2018. 3rd International Conference on (pp 657-662). IFAC.
[4] Vanuvamalai, H., 2012. Contol design of a coupled-tank apparatus. M.Sc dissertation, School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore.
[5] Palmor, Z. Y. and Krasney, N., 1996. Automatic tuning of decentralized PID controllers for MIMO processes. Journal of Process Control, 42, pp. 1174-1180.
[6] Skogestad, S. and Morari, M., 1989. Robust performance of decentralized control systems by independent designs. Automatica, 25(1), pp. 119-125.
[7] Loh, A. P., Hang, C. C., Quek, C. K. and Vasnani, V. N., 1993. Autotuning of multivariable proportional-integral controllers using relay feedback. Industrial Engineering and Chemical Research, 32, pp. 1102-1107.
[8] Shahgholian, G. and Movahedi, A., 2011. Modeling and controller design using ANFIS method for non-linear liquid level system. International Journal of Information and Electronics Engineering, 1(3), pp. 271-277.
[9] Neil, K., 2008. PID tuning methods. An automatic PID tuning study with MathCad. Publication of Calvin College of Engineering, p. 315.
[10] Jan, J., 1999. Tuning of fuzzy PID controllers. Technical Report of the Department of Automation, Technical University of Denmark, Denmark.
[11] Youney, J., 2007. A comparison and evaluation of common PID tuning methods. M.Sc thesis, School of Electrical Engineering and Computer Science. University of Central Florida Orlando, Florida.
[12] Satish, R. V. and Zafar, J. K., 2009. Performance of tuned PID controller and a new hybrid fuzzy PD + I controller. World Journal of Modelling and Simulation, 6(2), pp. 141-149.
[13] Aborisade, D. O., 2014. DC motor with load coupled by gears speed control using modified Ziegler-Nichols based PID tunings. Control Theory and Informatics, 4(5).
[14] Dingyu, X., YangQuan, C., and Derek, P. A., 2007. Linear Feedback Control. Society for Industrial and Applied Mathematics, 6, pp. 183-235.
[15] Rosinová, D, and Kozáková, A, 2012. Robust decentralized PID controller design, introduction to PID controllers, Rames C. Panda (Ed.), available from:https://www.intechopen.com/books/introduction-to-pid-controllers-theory-tuning-and-application-to-frontier-areas/robust-decentralized-pid-controller-design.
