An algebraic framework for linear identification

被引：343

作者：

Fliess, M

Sira-Ramírez, H

机构：

[1] Ecole Normale Super, Ctr Math & Leurs Applicat, F-94235 Cachan, France

[2] Ecole Polytech, Lab GAGE, F-91128 Palaiseau, France

[3] CINVESTAV, IPN, Dept Ingn Elect, Mexico City 07300, DF, Mexico

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2003年 / 9卷 / 09期

关键词：

linear systems; identifiability; parametric identification; adaptive control; generalised proportional-integral controllers; module theory; differential algebra; operational calculus;

D O I：

10.1051/cocv:2003008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A closed loop parametrical identification procedure for continuous-time constant linear systems is introduced. This approach which exhibits good robustness properties with respect to a large variety of additive perturbations is based on the following mathematical tools: 1. module theory; 2. differential algebra; 3. operational calculus. Several concrete case-studies with computer simulations demonstrate the efficiency of our on-line identification scheme.

引用

页码：151 / 168

页数：18