Averaging analysis of model reference adaptive identifier using least-square algorithm
作者:
JU-JANG LEE,
HEUNG-YEUNG SHUM,
期刊:
International Journal of Systems Science
(Taylor Available online 1994)
卷期:
Volume 25,
issue 10
页码: 1535-1551
ISSN:0020-7721
年代: 1994
DOI:10.1080/00207729408949296
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Model reference adaptive identifiers (MRAI) are designed with the assumption that the reference model M¯ is strict positive real (SPR). The properties of MRAI with gradient algorithms have been well studied. In this paper we analyse the MRAI with least-square (LS) algorithms. It is found that a sufficient condition for the system stability is that M¯ − ½ is SPR. A generic averaging technique is developed for the adaptive systems with periodic inputs. Then averaged systems of MRAI with the LS algorithm are formed. Simulation studies illustrate the properties of MRAI and verify the validity of the averaging approximation.
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