f Design of a Multi-loop PI Controller for Minimum Phase System Level Regulation in a Quadruple Tank: A Method for Constraint Optimization
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Research Article |

Design of a Multi-loop PI Controller for Minimum Phase System Level Regulation in a Quadruple Tank: A Method for Constraint Optimization

Author(s): Mahammedrafi.G*, R. Dhanalakshmi and Rambabu Busi

Published In : International Journal of Electrical and Electronics Research (IJEER)        Volume 12, Issue 3

Publisher : FOREX Publication

Published : 30 July 2024

e-ISSN : 2347-470X

Page(s) : 842-848

DOI: https://doi.org/10.37391/IJEER.120315

Abstract

A nonlinear optimization based decentralized PI controller for Two Input Two Output (TITO) is presented in this paper. Modelling of Quadruple tank minimum phase system with time delay is introduced here. The basic principles of nonlinear optimization are utilized to design the proposed PI controller in which the overshoot is bounded with constraints on the maximum closed-loop amplitude ratio, maximum closed loop width, gain and angle bounds. Besides, the control algorithm is designed for decoupled systems to reduce the loop interactions. Further, the first order plus dead time (FOPDT) model is derived for each of the decoupled subsystems to design the control law. The robust stability is analyzed by using Hurwitz and Upper triangular matrix of interrelated Kharitonov polynomials. The performance of the proposed control strategy is verified by MATLAB/SIMULINK software. The performance specifications of the simulation indicate that the suggested control strategy is more efficient.

Keywords: MIMO System, Decouplers, Model Reduction, Robustness.




Mahammedrafi.G*, Department of Electronics and Instrumentation Engineering, Annamalai University, Tamilnadu, India; Email: ramahammed@gmail.com

R. Dhanalakshmi, Department of Electronics and Communication Engineering, Thanthai Periyar Government Institute of Technology, Vellore-02, Tamilnadu, India; Email: dhanavishnu02@gmail.com

Rambabu Busi, Department of Electronics and Communication Engineering, in Lakireddy Bali Reddy College of Engineering (A), Mylavaram, India; Email: rams1315@gmail.com

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Mahammedrafi.G, R. Dhanalakshmi and Rambabu Busi (2024), Design of a Multi-loop PI Controller for Minimum Phase System Level Regulation in a Quadruple Tank: A Method for Constraint Optimization. IJEER 12(3), 842-848. DOI: 10.37391/IJEER.120315.