Closed-form approximation of the periodic response of a system with a saturating non-linearity†
作者:
JAGDISH CHANDRA,
PAULWM. DAVIS,
期刊:
International Journal of Control
(Taylor Available online 1973)
卷期:
Volume 18,
issue 6
页码: 1221-1231
ISSN:0020-7179
年代: 1973
DOI:10.1080/00207177308932595
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A technique for approximating harmonic, periodic solutions of a class of non-linear equations involving u saturation non-linearity is applied to a fourth-order equation which describes an electrical circuit containing a non-linear amplifying element. The computational effort required to obtain the closed-form approximation which this method yields is compared with that required for a numerical solution by the conventional methods of quasilinearization and patching. The various methods use comparable amounts of computer time, but the other classical methods do not offer the advantage of the closed-form approximation which our technique provides.
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