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

doi:10.6119/JMST-016-0301-1

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

Institute of Electrical and Control Engineering

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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 language	English
Pages (from-to)	736-743
Number of pages	8
Journal	Journal of Marine Science and Technology (Taiwan)
Volume	24
Issue number	4
DOIs	https://doi.org/10.6119/JMST-016-0301-1
State	Published - 2016

Keywords

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

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abstract = "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.",

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AU - Ma, Tsung Huang

AU - Lin, Chih Min

AU - Chao, Fei

AU - Hsu, Chun Fei

AU - Juang, Jih Gau

AU - Lee, Ching Hung

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Gain-margin

KW - MIMO system

KW - Phase-margin

KW - Robustness

KW - Time-delay

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JO - Journal of Marine Science and Technology (Taiwan)

JF - Journal of Marine Science and Technology (Taiwan)

IS - 4

ER -

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

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Keywords

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