Design, analysis and application of a new disturbance rejection PID for uncertain systems

Zhuo Yun Nie, Chao Zhu, Qing Guo Wang, Zhiqiang Gao, Hui Shao, Ji Liang Luo

Research output: Contribution to journalArticlepeer-review

33 Citations (Scopus)


In this paper, a new disturbance rejection proportional–integral–derivative (DR-PID) scheme is proposed for a class of minimum phase plants with low relative order. The essential active disturbance rejection (ADR) mechanism that is otherwise hidden in PID control structure has been illuminated and clarified in this paper for the first time.The proposed DR-PID scheme is derived on the basis of a modified disturbance observer to embed the active disturbance rejection mechanism seamlessly in the classical PID structure. Such a DR-PID scheme is implemented in a typical two-degree-of-freedom control structure that contains a standard PID controller and a pre-filter. The internal stability condition is established by investigating the closed-loop poles according to Rouche's theorem. The ensuing internal stability condition provides effective guidelines for DR-PID design that has infinite gain margin with minimum plant information. Five numerical comparisons are performed to illustrate the effectiveness of the new DR-PID scheme. The physical realizability of the proposed DR-PID scheme is also demonstrated by experiments on a magnetic levitation system.

Original languageEnglish
Pages (from-to)281-294
Number of pages14
JournalISA Transactions
Publication statusPublished - Jun 2020


  • Active disturbance rejection (ADR)
  • Disturbance observer (DOB)
  • Internal stability
  • PID control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Instrumentation
  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


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