Time-averaged non-linear systems: Steady-state analysis

Hanoch Ur, Tsvi Lissack

Research output: Contribution to journalArticlepeer-review


A non-linear system with time averaging can be regarded as one composed of a time varying system with a variable parameter. A non-linear operation, such as squaring is performed on the signal of the system and followed by low pass filtering. This filtered signal controls, in turn, the variable parameter. This paper considers the steady state analysis of time averaged non-linear systems. The analysis covers both passive (with input) and oscillatory (no input) systems, In the passive case it is shown that the response is similar to that of a passive system with the poles shifted. The harmonic content and distortion are computed for both the oscillatory and passive case. An evaluation of the frequency is carried out for the oscillatory case. An interesting result is that the significant filter characteristic is the attenuation at twice the frequency.

Original languageEnglish
Pages (from-to)1143-1152
Number of pages10
JournalInternational Journal of Control
Issue number6
StatePublished - Jun 1973


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