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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