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
收藏
页码：255 / 263
页数：9
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