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Stability and weighted sensitivity analysis of robust controller for heat exchanger

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Abstract

This study presents a parametric system identification approach to estimate the dynamics of a chemical plant from experimental data and develops a robust PID controller for the plant. Parametric system identification of the heat exchanger system has been carried out using experimental data and prediction error method. The estimated model of the heat exchanger system is a time-delay model and a robust PID controller for the time-delayed model has been designed considering weighted sensitivity criteria. The mathematical background of parametric system identification, stability analysis, and H∞ weighted sensitivity analysis have been provided in this paper. A graphical plot has been provided to determine the stability region in the (Kp,Ki), (Kp,Kd) and (Ki,Kd) plane. The stability region is a locus dependent on parameters of the controller and frequency, in the parameter plane.

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Author information

Authors and Affiliations

  1. Department of Electronics Engineering, Rajasthan Technical University, Kota, Rajasthan, India

    Sapna Gupta & Rajeev Gupta

  2. Department of Electrical and Electronics Engineering, Aditya Engineering College (Autonomous), Surampalem, Andhra Pradesh, India

    Subhransu Padhee

Authors
  1. Sapna Gupta
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  2. Rajeev Gupta
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  3. Subhransu Padhee
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Corresponding author

Correspondence to Sapna Gupta.

Additional information

Sapna GUPTA received Bachelor’s degree of Technology in Electronics and Communication Engineering from Rajasthan Technical University, Kota, India in 2012. She received the Master’s degree of Technology in Electronic Instrumentation & Control from University college of Engineering, Rajasthan Technical University, Kota, India in 2014. Currently, she is pursuing the Ph.D. degree from Rajasthan Technical University, Kota, India in the Electronics, Instrumentation and Control.

Rajeev GUPTA obtained his B.E. (Electrical Engineering) from University of Rajasthan in 1986. He obtained his M.Tech. (Control and Instrumentation Engineering) and Ph.D. from Indian Institute of Technology, Bombay in 1995 and 2004, respectively. He is currently working as Professor and Head of Department of Electronics Engineering, Rajasthan Technical University, Kota, India. His research interests are in power system stabilizers, periodic output feedback, model reduction methods, PSO, fuzzy control and soft computing and intelligent control.

Subhransu PADHEE received the Bachelor's degree of Technology in Applied Electronics and Instrumentation Engineering from Biju Patnaik University of Technology, Rourkela, Odisha, India in 2007. He received the Master's degree of Engineering in Electronic Instrumentation and Control from Thapar University, Patiala, India in 2011. He received the Ph.D. degree from National Institute of Technology Rourkela, Rourkela India in 2018 in the area of power electronics, instrumentation and control. Currently, he is working as an Assistant Professor in Department of Electrical and Electronics Engineering of Aditya Engineering College, Surampalem, Andhra Pradesh.

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Gupta, S., Gupta, R. & Padhee, S. Stability and weighted sensitivity analysis of robust controller for heat exchanger. Control Theory Technol. 18, 56–71 (2020). https://doi.org/10.1007/s11768-020-9136-z

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  • DOI: https://doi.org/10.1007/s11768-020-9136-z

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