Analytical Design of PI Controllers for First Order plus Time Delay Systems
Öz
This study proposes an analytical design method of a Proportional Integral controller for the stability and performance of first order plus time delay systems. The method proposed in the study achieves general computation equations for such systems. Inspired from Bode’s ideal loop, gain crossover frequency and phase margin specifications are considered for the system. Then, these specifications are used to obtain the parameters of the proportional integral controller. Analytically derived formulas by the proposed method are tested with existing plants in the literature and the results are illustrated graphically. It is shown that the tuning method satisfies desired gain crossover frequency and phase margin specifications.
Anahtar Kelimeler
Kaynakça
- [1] Pandey, S. and Majhi, S., “Identification and control of unstable FOPTD processes with improved transients”, Electronics Letters, vol. 53 (5), pp. 312-314, 2017.
- [2] Ferheen A. and Chidambaram, M., “Design of robust PID controller for an interval plant”, Trends in Industrial Measurement and Automation, Chennai, pp. 1-7. 2017.
- [3] Vasičkaninová, A. and Bakošová, M., “Robust controller design for a heat exchanger using ℋ2, ℋ∞, ℋ2/ℋ∞, and μ-synthesis approaches”, Acta Chimica Slovaca, vol. 9 (2), pp. 184-193, 2016.
- [4] Lee, J., Lee. Y., Yang, D.R. and Edgar, T.F., “Simple Proportional Integral Controller Tuning Rules for FOPTD and HOPTD Models Based on Matching Two Asymptotes”, Industrial & Engineering Chemistry Research, vol. 57 (8), pp. 2905-2916, 2018.
- [5] Liu, H., Li, D., Xi, J., and Zhong, Y., “Robust attitude controller design for miniature quadrotors”, International Journal of Robust and Nonlinear Control, vol, 26, pp. 681–696, 2016.
- [6] Tajaddodianfar, F., Moheimani, S.O.R., Owen, J. and Randall, J.N., “A self-tuning controller for high-performance scanning tunneling microscopy”, IEEE Conference on Control Technology and Applications (CCTA), Mauna Lani, pp. 106-110. 2017.
- [7] Wang, J., Zong, Q., Su, R. and Tian, B., “Continuous high order sliding mode controller design for a flexible air-breathing hypersonic vehicle”, ISA Transactions, vol. 53 (3), pp. 690-698, 2014.
- [8] Madhuranthakam, C.R., Elkamel, A. and Budman, H., “Optimal tuning of PID controllers for FOPTD, SOPTD and SOPTD with lead processes”, Chemical Engineering and Processing: Process Intensification, vol. 47 (2), pp. 251-264, 2008.
- [9] Rashid, A.R.M., Siddikhan, P.M., Selvakumar, C. and Suresh, M., “The performance analysis of PID controller with setpoint filter and anti integral Windup for a FOPDT thermal process”, Third International Conference on Sensing, Signal Processing and Security (ICSSS), Chennai, India, pp. 440-443, 2017.
- [10] Cvejn, J., “PID control of FOPDT plants with dominant dead time based on the modulus optimum criterion”, Archives of Control Sciences, vol. 26 (1), pp. 5-17, 2016.