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Limitations of a PI controller for a first-order nonlinear process with dead time.
ISA Trans 2006; 45(2):185-99IT

Abstract

A nonlinear process, the conical tank level process whose parameters vary with respect to the process variable, is considered. The time constant and gain of the chosen process vary as a function of level. A deliberate dead time is introduced in the system by delaying the valve opening. The limitations of the conventional PI controller tuned using Ziegler-Nichols settings for the chosen process are brought out. The servo and regulatory responses through simulation and experimentation for various magnitudes of set-point changes and load changes at various operating points with the controller tuned only at a chosen nominal operating point are obtained and analyzed. Regulatory responses for output load changes are studied. A benchmark system is presented to understand clearly how variations of system parameters affect the performance of the controller. A gain scheduled controller is proposed to handle the control problem. Present work illustrates the simplicity and effectiveness of the gain scheduling.

Authors+Show Affiliations

Pondicherry Engineering College, Pondicherry, India. ananda_natarajan@yahoo.comNo affiliation info availableNo affiliation info available

Pub Type(s)

Journal Article

Language

eng

PubMed ID

16649565

Citation

Anandanatarajan, R, et al. "Limitations of a PI Controller for a First-order Nonlinear Process With Dead Time." ISA Transactions, vol. 45, no. 2, 2006, pp. 185-99.
Anandanatarajan R, Chidambaram M, Jayasingh T. Limitations of a PI controller for a first-order nonlinear process with dead time. ISA Trans. 2006;45(2):185-99.
Anandanatarajan, R., Chidambaram, M., & Jayasingh, T. (2006). Limitations of a PI controller for a first-order nonlinear process with dead time. ISA Transactions, 45(2), pp. 185-99.
Anandanatarajan R, Chidambaram M, Jayasingh T. Limitations of a PI Controller for a First-order Nonlinear Process With Dead Time. ISA Trans. 2006;45(2):185-99. PubMed PMID: 16649565.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Limitations of a PI controller for a first-order nonlinear process with dead time. AU - Anandanatarajan,R, AU - Chidambaram,M, AU - Jayasingh,T, PY - 2006/5/3/pubmed PY - 2006/5/3/medline PY - 2006/5/3/entrez SP - 185 EP - 99 JF - ISA transactions JO - ISA Trans VL - 45 IS - 2 N2 - A nonlinear process, the conical tank level process whose parameters vary with respect to the process variable, is considered. The time constant and gain of the chosen process vary as a function of level. A deliberate dead time is introduced in the system by delaying the valve opening. The limitations of the conventional PI controller tuned using Ziegler-Nichols settings for the chosen process are brought out. The servo and regulatory responses through simulation and experimentation for various magnitudes of set-point changes and load changes at various operating points with the controller tuned only at a chosen nominal operating point are obtained and analyzed. Regulatory responses for output load changes are studied. A benchmark system is presented to understand clearly how variations of system parameters affect the performance of the controller. A gain scheduled controller is proposed to handle the control problem. Present work illustrates the simplicity and effectiveness of the gain scheduling. SN - 0019-0578 UR - https://www.unboundmedicine.com/medline/citation/16649565/Limitations_of_a_PI_controller_for_a_first_order_nonlinear_process_with_dead_time_ L2 - https://linkinghub.elsevier.com/retrieve/pii/S0019-0578(07)60189-X DB - PRIME DP - Unbound Medicine ER -