Lyapunov functions and discontinuous stabilizing feedback

被引：30
|
作者：
Clarke, Francis [1 ]
机构：
[1] Univ Lyon, Inst Camille Jordan, F-69622 Villeurbanne, France
来源：
ANNUAL REVIEWS IN CONTROL | 2011年 / 35卷 / 01期
关键词：
Controllability; Discontinuous control; Feedback; Nonlinear theory; Stabilization; CONTROLLABILITY;
D O I：
10.1016/j.arcontrol.2011.03.001
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 study the controllability and stability of control systems that are nonlinear, and for which, for whatever reason, linearization fails. We begin by motivating the need for two seemingly exotic tools: non-smooth control-Lyapunov functions, and discontinuous feedbacks. With the aid of nonsmooth analysis, we build a theory around these tools. We proceed to apply it in various contexts, focusing principally on the design of discontinuous stabilizing feedbacks. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：13 / 33
页数：21
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