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A simple nonlinear PD controller for integrating processes.
ISA Trans 2014; 53(1):162-72IT

Abstract

Many industrial processes are found to be integrating in nature, for which widely used Ziegler-Nichols tuned PID controllers usually fail to provide satisfactory performance due to excessive overshoot with large settling time. Although, IMC (Internal Model Control) based PID controllers are capable to reduce the overshoot, but little improvement is found in the load disturbance response. Here, we propose an auto-tuning proportional-derivative controller (APD) where a nonlinear gain updating factor α continuously adjusts the proportional and derivative gains to achieve an overall improved performance during set point change as well as load disturbance. The value of α is obtained by a simple relation based on the instantaneous values of normalized error (eN) and change of error (ΔeN) of the controlled variable. Performance of the proposed nonlinear PD controller (APD) is tested and compared with other PD and PID tuning rules for pure integrating plus delay (IPD) and first-order integrating plus delay (FOIPD) processes. Effectiveness of the proposed scheme is verified on a laboratory scale servo position control system.

Authors+Show Affiliations

Department of of Applied Physics, University of Calcutta, 92, A.P.C. Road, Calcutta 700009, West Bengal, India. Electronic address: chanchaldey@yahoo.co.in.Department of Instrumentation & Electronics Engineering, Jadavpur University, Sector III, Block LB/8, Salt-lake, Calcutta 700098, West Bengal, India. Electronic address: rkmudi@yahoo.com.Department of Instrumentation & Electronics Engineering, Jadavpur University, Sector III, Block LB/8, Salt-lake, Calcutta 700098, West Bengal, India. Electronic address: chalamju10@gmail.com.

Pub Type(s)

Journal Article

Language

eng

PubMed ID

24094507

Citation

Dey, Chanchal, et al. "A Simple Nonlinear PD Controller for Integrating Processes." ISA Transactions, vol. 53, no. 1, 2014, pp. 162-72.
Dey C, Mudi RK, Simhachalam D. A simple nonlinear PD controller for integrating processes. ISA Trans. 2014;53(1):162-72.
Dey, C., Mudi, R. K., & Simhachalam, D. (2014). A simple nonlinear PD controller for integrating processes. ISA Transactions, 53(1), pp. 162-72. doi:10.1016/j.isatra.2013.09.011.
Dey C, Mudi RK, Simhachalam D. A Simple Nonlinear PD Controller for Integrating Processes. ISA Trans. 2014;53(1):162-72. PubMed PMID: 24094507.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - A simple nonlinear PD controller for integrating processes. AU - Dey,Chanchal, AU - Mudi,Rajani K, AU - Simhachalam,Dharmana, Y1 - 2013/10/02/ PY - 2012/09/02/received PY - 2013/09/03/revised PY - 2013/09/04/accepted PY - 2013/10/8/entrez PY - 2013/10/8/pubmed PY - 2013/10/8/medline KW - Integrating process KW - Nonlinear PD control KW - PID control SP - 162 EP - 72 JF - ISA transactions JO - ISA Trans VL - 53 IS - 1 N2 - Many industrial processes are found to be integrating in nature, for which widely used Ziegler-Nichols tuned PID controllers usually fail to provide satisfactory performance due to excessive overshoot with large settling time. Although, IMC (Internal Model Control) based PID controllers are capable to reduce the overshoot, but little improvement is found in the load disturbance response. Here, we propose an auto-tuning proportional-derivative controller (APD) where a nonlinear gain updating factor α continuously adjusts the proportional and derivative gains to achieve an overall improved performance during set point change as well as load disturbance. The value of α is obtained by a simple relation based on the instantaneous values of normalized error (eN) and change of error (ΔeN) of the controlled variable. Performance of the proposed nonlinear PD controller (APD) is tested and compared with other PD and PID tuning rules for pure integrating plus delay (IPD) and first-order integrating plus delay (FOIPD) processes. Effectiveness of the proposed scheme is verified on a laboratory scale servo position control system. SN - 1879-2022 UR - https://www.unboundmedicine.com/medline/citation/24094507/A_simple_nonlinear_PD_controller_for_integrating_processes_ L2 - https://linkinghub.elsevier.com/retrieve/pii/S0019-0578(13)00154-7 DB - PRIME DP - Unbound Medicine ER -