线性时变时滞系统分析与参数辨识的PMCP方法

System Analysis and Parameter Identification of Linear Time-Varying Delay Systems via Piecewise Multiple Chebyshev Polynomials*

中文关键词  正交函数  多项式逼近  时滞系统  系统分析  参数估计  正交多项式

英文关键词  orthogonal function  approximation by polynomials  time-delay systems  systems analysis  parameter estimation  orthogonal polynomials

中文摘要

      本文将[1]定义的按段多重chebyshev多项式系应用于线性时变时滞系统分析与参数辨识，提出了系统分析和参数辨识算法。数值例子表明本文提出的算法既简单又有效，大大优于由移位chebyshev多项式系所导出来的相应算法。

英文摘要

      In this paper, Piecewise Multiple Chebyshev Polynomials(PMCP) which have been defined in [1] are applied to system analysis and parameter identification of linear time-varying delay systems and two algorithms are proposed. The illustrative examples show that the algorithms proposed in this paper are both simple and efficient, and they are by far better than that derivative via Shifted Chebyshev Polynomials(SCP).