On computation of stabilizing loop gain and delay ranges for bi-proper delay systems

Binh Nguyen Le, Qing Guo Wang, Tong Heng Lee, Zhuoyun Nie

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


A graphical method for exactly computing the stabilizing loop gain and delay ranges was proposed Le BN, Wang Q-G, Lee T-H. Development of D-decomposition method for computing stabilizing gain ranges for general delay systems. J Process Control 2012] for a strictly proper process by determining the boundary functions which may change systems stability. A bi-proper process is rare but causes great complications for the method, due to the new phenomena that do not exist for a strictly proper process, such as a non-zero gain at infinity frequency, which may cause infinite intersections of boundary functions within a finite delay range. This paper addresses such a kind of processes and develops a general method that can produce the exact and complete set of the loop gain and delay for closed-loop stabilization, which is hard to find with analytical methods.

Original languageEnglish
Pages (from-to)1705-1715
Number of pages11
JournalISA Transactions
Issue number6
Publication statusPublished - 1 Nov 2014
Externally publishedYes


  • Bi-proper process
  • Delays
  • Stability robustness
  • Stabilization
  • Stabilizing parameter ranges

ASJC Scopus subject areas

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


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