广义正交多项式用于时变延时线性系统的参数辨识
Parameter Identification of Time-Varying Delay Linear Systems Via Generalized Orthogonal Polynomials
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摘要: 应用广义正交多项式(GOP)的展开式估计时变延时线性系统的参数.其基本思想是状 态函数和控制函数分别用有限多项广义正交多项式表示,利用GOP的运算矩阵,将时变延时 微分方程转化为用展开系数表示的线性方程组,通过输入输出数据,参数能够辨识.Abstract: In this paper, generalized orthogonal polynomials (GOP) expansion is applied to estimating the parameters of the time-varying delay linear systems. The basic concept is that the state and control functions are expressed in terms of the GOP. The time-varying delay differential equations by the operation matrices of the GOP are transformed into a series of linear equations using expansion coefficients. The parameters can be identified by input and output data.
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