Asymptotic controllability implies feedback stabilization

被引：411
|
作者：
Clarke, FH
Ledyaev, YS
Sontag, ED
Subbotin, AI
机构：
[1] UNIV MONTREAL,CTR RECH MATH,MONTREAL,PQ H3C 3J7,CANADA
[2] VA STEKLOV MATH INST,MOSCOW 117966,RUSSIA
[3] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903
[4] INST MATH & MECH,EKATERINBURG 620219,RUSSIA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1997年 / 42卷 / 10期
基金：
加拿大自然科学与工程研究理事会;
关键词：
control-Lyapunov functions; feedback; nonsmooth analysis; stabilization;
D O I：
10.1109/9.633828
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
It is shown that every asymptotically controllable system can be globally stabilized by means of some (discontinuous) feedback law. The stabilizing strategy is based on pointwise optimization of a smoothed version of a control-lyapunov function, iteratively sending trajectories into smaller and smaller neighborhoods of a desired equilibrium. A major technical problem, and one of the contributions of the present paper, concerns the precise meaning of ''solution'' when using a discontinuous controller.
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页码：1394 / 1407
页数：14
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