Performance assessment and parameter optimization of an internal model PI controller in frequency and time domains

doi:10.3969/j.issn.1000-1565.2022.05.012

Abstract

Abstract: Because the performance degradation of the control system is usually related to the unreasonable parameters of the PI controller, and the single performance assessment index in time domain is not accurate, therefore a performance assessment method based on the combination of frequency domain and time domain is presented for the control object with pure delay characteristic,which overcomes the inaccuracy of a single performance metric. Under different control strategies and parameters, the distance between the system performance index and the reference curve or reference point is analyzed. For two typical high-order processes, different reduced-order models are given, and the model with the best fitting characteristics is applied to the design of internal model PI controller. Based on the results of frequency-domain and time-domain assessment, a method of re-optimizing and tuning the parameters of PI controller is presented, which is used to improve the performance of the control system,and it is realized by re-setting the parameters through the data-driven method. The structure is simple, and the operation efficiency is improved.- DOI:10.3969/j.issn.1000-1565.2022.05.012基于频域和时域的内模PI控制器性能评价与参数优化李士哲,刘畅(华北电力大学控制与计算机工程学院,河北保定 071003)摘要:由于控制系统的性能降低通常与比例积分(proportion integration,简称PI)控制器不合理的参数有关,而且单一的时域性能评价指标不准确,因此,针对具有纯迟延特性的控制对象,给出了基于频域和时域相结合的性能评价方法,克服了单一性能指标的不准确性.在不同控制策略和参数下,分析了系统性能指标与基准曲线或基准点的距离.针对2个典型的高阶被控过程,分别给出了不同的降阶模型,并把拟合对象特性最好的模型用于内模PI控制器的设计.基于频域和时域评价的结果,给出了PI控制器参数重新优化和整定的方法,用于改善控制系统的性能,该方法通过数据驱动方法对参数进行重新整定来实现,提高了运算效率.仿真实验验证了上述性能评价和参数优化方法的有效性.关键词:性能评价;PI控制器;频域指标;时域指标;参数优化中图分类号:TP273 文献标志码:A 文章编号:1000-1565(2022)05-0530-12Performance assessment and parameter optimization of an internal model PI controller in frequency and time domainsLI Shizhe, LIU Chang(School of Control and Computer Engineering, North China Electric Power University, Baoding 071003, China)Abstract: Because the performance degradation of the control system is usually related to the unreasonable parameters of the PI controller, and the single performance assessment index in time domain is not accurate, therefore a performance assessment method based on the combination of frequency domain and time domain is presented for the control object with pure delay characteristic,which overcomes the inaccuracy of a single performance metric. Under different control strategies and parameters, the distance between the system performance index and the reference curve or reference point is analyzed. For two typical high-order processes, different reduced-order models are given, and the model with the best fitting characteristics is applied to the design of internal model PI controller. Based on the results of frequency-domain and time-domain assessment, a method of re-optimizing and tuning the parameters of PI controller is presented, which is used to improve the performance of the control system,and it is realized by re-setting the parameters through the data-driven method. The structure is simple, and the operation efficiency is improved.- 收稿日期:2022-02-18 基金项目:深圳市可持续发展科技专项项目(KCXFZ20201221173402007 ) 第一作者:李士哲(1981—),男,河北保定人,华北电力大学(保定)讲师,博士,主要从事控制系统性能评价方向研究.E-mail:lishizhe121@163.com 通信作者:刘畅(1999—),女,河北保定人,华北电力大学(保定)在读硕士研究生,主要从事控制系统性能评价及故障诊断方向研究.E-mail:1432497470@qq.com第5期李士哲等:基于频域和时域的内模PI控制器性能评价与参数优化The simulation results verify the effectiveness of the above methods.

Key words: performance assessment, PI controller, frequency domain index, time domain index, parameter optimization

CLC Number:

TP273

LI Shizhe, LIU Chang. Performance assessment and parameter optimization of an internal model PI controller in frequency and time domains[J]. Journal of Hebei University(Natural Science Edition), 2022, 42(5): 530-541.

References

[1] JELALI M. Control performance management in industrial automation: assessment, diagnosis and improvement of control loop performance[M]. London: Springer Science & Business Media, 2012.
[2] TORRES B S, DE CARVALHO F B, DE OLIVEIRA F M, et al. Performance assessment of control loops-case studies[J]. Proc IFAC ADCHEM, Gramado, Brasil Google Scholar, 2016.
[3] JELALI M. An overview of control performance assessment technology and industrial applications[J]. Control Eng Pract, 2006, 14(5): 441-466. DOI:10.1016/j.conengprac.2005.11.005.
[4] YIN S, LI X W, GAO H J, et al. Data-based techniques focused on modern industry: an overview[J]. IEEE Trans Ind Electron, 2015, 62(1): 657-667. DOI:10.1109/TIE.2014.2308133.
[5] PRECUP R E, ANGELOV P, COSTA B S J, et al. An overview on fault diagnosis and nature-inspired optimal control of industrial process applications[J]. Comput Ind, 2015, 74: 75-94. DOI:10.1016/j.compind.2015.03.001.
[6] YIN S, DING S X, XIE X C, et al. A review on basic data-driven approaches for industrial process monitoring[J]. IEEE Trans Ind Electron, 2014, 61(11): 6418-6428. DOI:10.1109/TIE.2014.2301773.
[7] BAUER M, HORCH A, XIE L, et al. The Current state of control loop performance monitoring - A survey of application in industry[J]. J Process Control, 2016, 38: 1-10. DOI:10.1016/j.jprocont.2015.11.002.
[8] MCMILLAN G K. Tuning and control loop performance[M]. Momentum Press, 2014.
[9] WANG Y Q, ZHANG H, WEI S L, et al. Control performance assessment for ILC-controlled batch processes in a 2-D system framework[J]. IEEE Trans Syst Man Cybern Syst, 2018, 48(9): 1493-1504. DOI:10.1109/TSMC.2017.2672563.
[10] DA SILVA MOREIRA L J, JU 'NIOR JR, BARROS P R. IMC PI control loops frequency and time domains performance assessment and retuning[J]. IFAC-PapersOnLine, 2018, 51(4): 148-153. DOI:10.1016/j.ifacol.2018.06.117.
[11] COKMEZ E, ATIÇ S, PEKER F, et al. Fractional-order PI controller design for integrating processes based on gain and phase margin specifications[J]. IFAC-PapersOnLine, 2018, 51(4): 751-756. DOI:10.1016/j.ifacol.2018.06.206.
[12] ÅSTRÖM K J, HÄGGLUND T. Automatic tuning of simple regulators with specifications on phase and amplitude margins[J]. Automatica, 1984, 20(5): 645-651. DOI:10.1016/0005-1098(84)90014-1.
[13] DE ARRUDA G H M, BARROS P R. Relay based gain and phase margins PI controller design[C] //IMTC 2001. Proceedings of the 18th IEEE Instrumentation and Measurement Technology Conference. Rediscovering Measurement in the Age of Informatics(Cat No.01CH 37188). Budapest, Hungary. IEEE, 2001: 1189-1194. DOI:10.1109/IMTC.2001.928265.
[14] FANG T, ZHANG R D, GAO F R. LQG benchmark based performance assessment of IMC-PID temperature control system[J]. Ind Eng Chem Res, 2017, 56(51): 15102-15111. DOI:10.1021/acs.iecr.7b03991.
[15] KESAVAN E, AGALYA A, PALPANDIAN P, et al. Performance analysis and comparison of different tuning strategies of PI controller in conical tank[J]. Indian J Sci Technol, 2016, 9(11): 1-6. DOI:10.17485/ijst/2016/v9i11/89299.
[16] PANYAM VUPPU G K R, MAKAM VENKATA S, KODATI S. Robust design of PID controller using IMC technique for integrating process based on maximum sensitivity[J]. J Control Autom Electr Syst, 2015, 26(5): 466-475. DOI:10.1007/s40313-015-0196-0.
[17] GLAD T, LJUNG L. Control theory[M]. London: CRC Press, 2000. DOI:10.1201/9781315274737.
[18] ACIOLI JU 'NIOR G, BARROS P R. Closed-loop evaluation and PI controller redesign satisfying classical robustness measures[C] //IECON 2011 - 37th Annual Conference of the IEEE Industrial Electronics Society. 2011: 504-509. DOI:10.1109/IECON.2011.6119362.
[19] 陈炜.模型失配情形下典型热工过程PI控制器性能评估及优化重整定[D].南京:东南大学, 2020.
[20] LI R X, WU F, HOU P Z, et al. Performance assessment of FO-PID temperature control system using a fractional order LQG benchmark[J]. IEEE Access, 2020,8: 116653-116662. DOI:10.1109/ACCESS.2020.3004701.
[21] ZHU W W, ZHANG Z J, ARMAOU A, et al. Dynamic data reconciliation to improve the result of controller performance assessment based on GMVC[J]. ISA Trans, 2021, 117: 288-302. DOI:10.1016/j.isatra.2021.01.047.
[22] 祝旺旺,张正江,闫正兵,等.动态数据校正技术用于GMVC控制器性能评估的改进[J].计算机测量与控制, 2021, 29(5): 241-246. DOI:10.16526/j.cnki.11-4762/tp.2021.05.048.
[23] 龚正锋,李丽娟.基于性能评估的控制器参数整定策略[C] //第31届中国过程控制会议(CPCC 2020)摘要集,2020:132.
[24] DING S X, LI L L. Control performance monitoring and degradation recovery in automatic control systems: a review, some new results, and future perspectives[J]. Control Eng Pract, 2021, 111: 104790. DOI:10.1016/j.conengprac.2021.104790.
[25] 龚正锋,李丽娟.基于性能评估的控制器参数整定策略[C] //第31届中国过程控制会议(CPCC 2020)摘要集.徐州,2020:132.DOI:10.26914/c.cnkihy.2020.029925.
[26] 于希宁,孙建平,孙海蓉,等.自动控制原理[M].北京:中国电力出版社, 2008.
[27] 吴昊楠.PID及MPC控制器性能评估与优化方法研究及实施[D].兰州:兰州理工大学, 2020.
[28] DA SILVA MOREIRA L J, DE A AGUIAR A P V, JU'NIOR J A, et al. Time and frequency data-driven PID retuning applied in MIMO process[J]. IFAC-PapersOnLine, 2021, 54(3): 469-474. DOI:10.1016/j.ifacol.2021.08.286.
[29] KHOSROSHAHI M, POSHTAN J. Data-driven performance assessment of multivariable control loops using a modified Hurst exponent-based index[J]. Proc Inst Mech Eng Part I J Syst Control Eng, 2021, 235(6): 769-780. DOI:10.1177/0959651820966523. (