Stabilization of feedforward systems approximated by a non-linear chain of integrators

被引：68

作者：

Mazenc, F ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Ctr Proc Syst Engn, London SW7 2BY, England

来源：

SYSTEMS & CONTROL LETTERS | 1997年 / 32卷 / 04期

关键词：

nonlinear system; global stabilization; bounded feedback; Lyapunov design;

D O I：

10.1016/S0167-6911(97)00091-1

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 prove that, for any odd integer p and any strictly positive integer n, feedforward systems which are approximated at the origin by a chain of integrators of degree p and length n can be globally asymptotically stabilized by bounded smooth time-invariant state feedbacks. Our proof is based on the construction of a Lyapunov function and the feedback laws we obtain are given by explicit formulas. (C) 1997 Elsevier Science B.V.

引用

页码：223 / 229

页数：7