A UNIVERSAL FORMULA FOR STABILIZATION WITH BOUNDED CONTROLS

被引：337

作者：

LIN, YD ^{[1
]}

SONTAG, ED ^{[1
]}

机构：

[1] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903

来源：

SYSTEMS & CONTROL LETTERS | 1991年 / 16卷 / 06期

关键词：

SMOOTH STABILIZATION; ARTSTEIN THEOREM;

D O I：

10.1016/0167-6911(91)90111-Q

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 provide a formula for a stabilizing feedback law using a bounded control, under the assumption that an appropriate control-Lyapunov function is known. Such a feedback, smooth away from the origin and continuous everywhere, is known to exist via Artstein's Theorem. As in the unbounded-control case treated in a previous note, we provide an explicit and 'universal' formula given by an algebraic function of Lie derivatives. In particular, we extend to the bounded case the result that the feedback can be chosen analytic if the Lyapunov function and the vector fields defining the system are analytic.

引用

页码：393 / 397

页数：5

共 7 条

[1] STABILIZATION WITH RELAXED CONTROLS [J].