GAIN-MARGINS AND PHASE-MARGINS OF MULTIVARIABLE TIME-DELAY SYSTEMS

Authors

Tsung-Huang Ma, Department of Electrical Engineering, Yuan Ze University, Taiwan, R.O.C
Chih-Min Lin, Department of Electrical Engineering, Yuan Ze University, Taiwan, R.O.CFollow
Fei Chao, Cognitive Science Department, School of Information Science and Engineering, Xiamen University, China
Chun-Fei Hsu, Department of Electrical Engineering, Tamkang University, Taiwan, R.O.C
Jih-Gau Juang, Department of Communication and Navigation, National Taiwan Ocean University, Taiwan, R.O.C
Ching-Hung Lee, Department of Mechanical Engineering, National Chung Hsing University, Taiwan, R.O.C.

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.

Recommended Citation

Ma, Tsung-Huang; Lin, Chih-Min; Chao, Fei; Hsu, Chun-Fei; Juang, Jih-Gau; and Lee, Ching-Hung (2016) "GAIN-MARGINS AND PHASE-MARGINS OF MULTIVARIABLE TIME-DELAY SYSTEMS," Journal of Marine Science and Technology: Vol. 24: Iss. 4, Article 8.
DOI: 10.6119/JMST-016-0301-1
Available at: https://jmstt.ntou.edu.tw/journal/vol24/iss4/8