STABILIZATION OF DISCRETE-TIME NONLINEAR-SYSTEMS BY SMOOTH STATE-FEEDBACK

被引：39

作者：

BYRNES, CI ^{[1
]}

LIN, W ^{[1
]}

GHOSH, BK ^{[1
]}

机构：

[1] WASHINGTON UNIV,DEPT SYST SCI & MATH,ST LOUIS,MO 63130

来源：

SYSTEMS & CONTROL LETTERS | 1993年 / 21卷 / 03期

基金：

美国国家科学基金会;

关键词：

DISCRETE-TIME NONLINEAR SYSTEMS; LOCAL AND GLOBAL ASYMPTOTIC STABILIZATION; LINEAR APPROXIMATION; SMOOTH STATE FEEDBACK; CRITICAL PROBLEMS OF STABILIZATION;

D O I：

10.1016/0167-6911(93)90036-6

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For a class of nonlinear discrete-time systems of the form SIGMA: x(k + 1) = F(x(k)) + g(x(k))u(k), we investigate conditions under which a nonlinear system can be rendered globally asymptotically stable via smooth state feedback. Our main result is that any nonlinear system with Lyapunov-stable unforced dynamics can always be globally stabilized by smooth state feedback if suitable controllability-like rank conditions are satisfied. Several examples are presented to demonstrate the applications of the stability results developed in this paper.

引用

页码：255 / 263

页数：9