Exact computation of loop gain margins of multivariable feedback systems

Zhuo Yun Nie, Qing Guo Wang, Min Wu, Yong He

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


This paper addresses the problem of loop gain margins of multivariable feedback system. A frequency domain approach is proposed to accurately computing loop gain margins for multivariable feedback systems. With the help of vector mapping method, the loop gain margins problem is converted to some constrained optimization, which is solved numerically by the Lagrange multiplier and Newton-Raphson iteration algorithm. The proposed approach can determine all the stabilizing boundaries and provide exact gain margins in comparison with conservativeness of the linear matrix inequalities (LMI) results reported before. Crown

Original languageEnglish
Pages (from-to)762-768
Number of pages7
JournalJournal of Process Control
Issue number6
Publication statusPublished - Jul 2010
Externally publishedYes


  • Frequency response
  • Gain margin
  • Multivariable control systems
  • Optimization
  • Stability robustness
  • Stabilizing parameter range

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Computer Science Applications
  • Industrial and Manufacturing Engineering


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