CAJ | 학술논문

相角裕度和幅值裕度是自动控制系统中反应系统的相对稳定性的重要指标。本文提出了求解相角裕度和幅值裕度一种估算方法,首先介绍了截止频率的一种估算求法,再利用相角裕度定义求出相角裕度;其次是先通过劳斯判据求出系统临界稳定时的开环增益,再利用幅值裕度的含义求出,最后用估算法求出穿越频率。这些估算方法简单实用,实例证明它们有较高的计算精度。
상각유도화폭치유도시자동공제계통중반응계통적상대은정성적중요지표。본문제출료구해상각유도화폭치유도일충고산방법,수선개소료절지빈솔적일충고산구법,재이용상각유도정의구출상각유도;기차시선통과로사판거구출계통림계은정시적개배증익,재이용폭치유도적함의구출,최후용고산법구출천월빈솔。저사고산방법간단실용,실예증명타문유교고적계산정도。
Phase angle margin and amplitude margin are important indicators of the relative stability in the automatic control system. A method to estimate phase angle and amplitude margin is proposed. The cut-off frequency of seeking an approximate method is introduced, and the definition to equate phase angle margin is used; then the solution of the amplitude margin by using the routh stability of the system to equate the critical open-loop gain is introduced, and the meaning of amplitude margin to derive is re-used. Thus the approximate method to calculate the crossover frequency is drawled. The estimation methods are simple and practical and the examples prove that these methods have higher calculation accuracy.