Stability analysis of a feedback system containing periodically varying parameters†

1 November 1970

journal article
research article
Published by Taylor & Francis in International Journal of Control

Vol. 12 (5) , 869-876
https://doi.org/10.1080/00207177008931900

Abstract

Stability analysis for a third-order feedback system with a periodically varying parameter is presented using a matrix method and approximating the time-varying parameter as piecewise constant over its period. The stability boundaries of such a system are predicted and compared with the boundaries determined by analogue computer simulation. Incidentally a method of generating similar matrices is brought out during this investigation.

Keywords

This publication has 5 references indexed in Scilit:

Frequency domain stability criteria--Part II
IEEE Transactions on Automatic Control, 1965
Stability of Linear Time-Varying Networks-the State Space Approach
IEEE Transactions on Circuit Theory, 1965
Stability in linear systems having a time-variable parameter
IEEE Transactions on Automatic Control, 1964
A Frequency-Domain Condition for the Stability of Feedback Systems Containing a Single Time-Varying Nonlinear Element
Bell System Technical Journal, 1964
Circuit Analysis of Linear Varying-Parameter Networks
Journal of Applied Physics, 1950