Gain-margins and phase-margins of multivariable time-delay systems

Tsung Huang Ma, Chih Min Lin*, Fei Chao, Chun Fei Hsu, Jih Gau Juang, Ching Hung Lee

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this paper, the gain-phase-margin tester method is applied to analyze the gain-margins (GMs) and phase-margins (PMs) of multi-input multi-output (MIMO) control systems with time-delays. The objectives of the proposed method are: (1) to present the basic definitions and physical meanings of GMs and PMs of MIMO control systems; (2) to give some important remarks on how to construct proper block diagrams for those systems originally expressed by state equations; (3) to analyze the GMs and PMs of a missile autopilot system. The analysis results are checked by the use of Nyquist plots and computer simulations.

Original languageEnglish
Pages (from-to)736-743
Number of pages8
JournalJournal of Marine Science and Technology (Taiwan)
Issue number4
StatePublished - 2016


  • Gain-margin
  • MIMO system
  • Phase-margin
  • Robustness
  • Time-delay

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