Approximate Nonlinear Discrete-Time Models Based on B-Spline Functions

被引：0

作者：

Sanchez, Claudia ^{[1
]}

Yuz, Juan I. ^{[1
]}

机构：

[1] Univ Tecn Federico Santa Maria, Dept Elect Engn, Valparaiso 1680, Chile

来源：

IEEE ACCESS | 2020年 / 8卷

关键词：

Splines (mathematics); Nonlinear dynamical systems; Numerical models; Mathematical model; Taylor series; Licenses; B-spline functions; nonlinear systems; normal forms; truncated Taylor series; zero dynamics; SAMPLED-DATA MODELS; ZERO DYNAMICS; CONTROL-SYSTEMS; HOLD FUNCTIONS; NORMAL-FORM; BIFURCATION;

D O I：

10.1109/ACCESS.2020.3013829

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider the discretization of continuous-time nonlinear systems described by normal forms. In particular, we consider the case when the input to the system is generated by a B-spline hold device to obtain an approximate discrete-time model. It is shown that the corresponding sampled-data model and its accuracy (measured in terms of the local truncation error) depend on the smoothness of the input and on the applied integration strategy, namely, the truncated Taylor series expansion. Moreover, the sampling zero dynamics of the discrete-time model are asymptotically characterized as the sampling period goes to zero, and it is shown that these zero dynamics converge to the asymptotic sampling zeros of the linear case.

引用

页码：143366 / 143374

页数：9

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