引用本文:开平安,曾世权,邓慧.一类时变系统中补偿器的功能和设计[J].控制理论与应用,2022,39(6):1098~1102.[点击复制]
KAI Ping-an,ZENG Shi-quan,DENG Hui.Function and design of compensator for time-variant system[J].Control Theory and Technology,2022,39(6):1098~1102.[点击复制]
一类时变系统中补偿器的功能和设计
Function and design of compensator for time-variant system
摘要点击 1443  全文点击 506  投稿时间:2021-02-22  修订日期:2021-08-15
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DOI编号  10.7641/CTA.2021.10155
  2022,39(6):1098-1102
中文关键词  PID控制器  系统鲁棒性能  补偿器  时变系统  间隙度
英文关键词  PID controller  system robust performance  compensator  time-variant system  gap metric
基金项目  白城发电公司1号机空冷岛冷端优化控制与运行技术研究项目(410011JX20200024)资助.
作者单位E-mail
开平安 国家发展改革委能源研究所 pingank@aliyun.com 
曾世权 暨南大学  
邓慧* 暨南大学  
中文摘要
      PID控制器由于其结构简单和参数整定容易, 具有良好的控制功能, 被广泛应用在工程上的线性确定性系 统中. 但是, 在非线性系统和不确定性系统中, PID控制器由于其固定的控制参数和结构限制, 很难克服系统中内外 干扰的影响, 控制器鲁棒性能较差. 本文按照被控对象中的标称模型设计常规PID控制器优化参数, 对非线性系统 中多个线性化模型和不确定性系统中的不同工作点模型, 设计了一类补偿器, 使得整个闭环系统具有与标称模型下 相同的控制品质. 工程应用例子论证了本文提出的补偿器能提高不确定与非线性系统的控制品质和鲁棒性能.
英文摘要
      The PID controller is widely applied in the liner time-invariant plants for all types of industries, due to the simple structure and easy tuning. However, the poor robustness is found in the application of PID Controller within the timevariant and non-linear plants, because of the fixed structure and parameters. The study presents a compensator to enhance control quality and robust performance in time-variant or non-linear plants for the PID controller based on the transfer function of nominal operation case. Under several optimization criteria, the compensator is designed by the maximum of gap metric within uncertain or non-linear model, it is shown that the outputs of control system for the different operational situations are same as the nominal operation cases. Furthermore, the engineering examples confirm the fine control quality and robust performances of the control systems with the compensator in the time-variant systems.