基于频域和时域的内模PI控制器性能评价与参数优化

doi:10.3969/j.issn.1000-1565.2022.05.012

摘要/Abstract

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

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

中图分类号:

TP273

李士哲,刘畅. 基于频域和时域的内模PI控制器性能评价与参数优化[J]. 河北大学学报(自然科学版), 2022, 42(5): 530-541.

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.

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