Gain Margin and Phase Margin Analysis for Nonlinear Aircraft Control Systems

非線性飛行控制系統的增益邊際和相位邊際分析

張哲旭(Che-Hsu Chang) ； 張銘康(Ming-Kang Chang) ； 韓光渭(Kuang-Wei Han)

《中國航空太空學會學刊》 26卷1期 (1994/03) Pp. 1-7

https://doi.org/10.6124/TAASRC.199403_26(1).01

摘要

本文提出一種找出合可調參數非線性控制系統有關漸近穩定性與極限環之增益邊際和相位邊際的方法。首先用描述函數法將非線性控制系統線性化，然後加入增益相位邊際測試器，並將特性方程式分解成兩個穩定方程式，最後應用參數平面法即可找出常數增益邊際和相位邊際之邊界。依據該邊界可了解可調參數對增益邊際和相位邊際之影響效應。以一個俯仰定向非線性飛行控制系統爲實例，說明本法之實用性。

關鍵字

增益邊際 ； 相位邊際 ； 非線性控制系統

並列摘要

A method for finding the gain margins and phase margins of nonlinear control systems with adjustable parameters for asymptotical stability and having limit cycle is presented. The considered systems are first linearized by the describing function method and modified by adding a gain-phase margin tester, then the characteristic equations are formulated and factored into stability equations, and finally the parameter-plane method is used to find the boundaries of constant gain margin and phase margin. From these boundaries the useful information about the effects of adjustable parameters on gain margins and phase margins can be obtained. A pitch orientational nonlinear aircraft control system is used to illustrate the usefulness of the proposed method.

並列關鍵字

gain margin ； phase margin ； nonlinear control system