A new approach for parameter identification of time-varying systems via generalized orthogonal polynomials
作者:
RONG-YEU CHANG,
SHWU-YIEN YANG,
MAW-LING WANG,
期刊:
International Journal of Control
(Taylor Available online 1986)
卷期:
Volume 44,
issue 6
页码: 1747-1755
ISSN:0020-7179
年代: 1986
DOI:10.1080/00207178608933699
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A very effective method of using the generalized orthogonal polynomials (GOP) for identifying the parameters of a process whose behaviour can be modelled by a linear differential equation with time-varying coefficients in the form of finite-order polynomials is presented. It is based on the differentiation operational matrix of the GOP, which can represent all kinds of individual orthogonal polynomials. The main advantage of using the differentiation operational matrix is that parameter estimation can be made starting at any time of interest, i.e. without the restriction of starting at zero time. In addition, the present computation algorithm is simpler than that of the integration operational matrix. Using the concept of GOP expansion for state and control functions, the differential input-output equation is converted into a set of linear algebraic equations. The unknown parameters are evaluated by a weighted least-squares estimation method. Very satisfactory results for illustrative example are obtained.
点击下载:
PDF (213KB)
返 回