LIMIT CYCLE OSCILLATIONS IN PULSE-MODULATED SYSTEMS

被引：8

作者：

CLARK, RN

FRANKLIN, GF

机构：

[1] Electrical Engineering, University of Washington, Seattle, WA

[2] Stanford University, Stanford, CA

来源：

JOURNAL OF SPACECRAFT AND ROCKETS | 1969年 / 6卷 / 07期

基金：

美国国家航空航天局; 美国国家科学基金会;

关键词：

D O I：

10.2514/3.29704

中图分类号：

V [航空、航天];

学科分类号：

08 ; 0825 ;

摘要：

This paper reveals the explicit relationship that must exist between the physical parameters of a pulse-modulated feedback system of the type used for attitude control in satellites, for the stability of a two-pulse limit cycle oscillation. An integral-pulse-frequency modulator has the requisite steady-state dynamic characteristics for the existence of the two-pulse limit cycle, and a transient analysis shows the conditions for the stability of that limit cycle. Heretofore stability analysis of this type has employed conventional techniques such as Lyapunov methods or frequency response methods. In this paper the analysis is accomplished by a method based on the geometrical properties of the state-transition equations. This same geometrical approach is used to determine the conditions under which higher-order limit cycles occur, and their existence is confirmed experimentally from a simulation of the system. © 1969 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.

引用

页码：799 / &