Lyapunov functions and discontinuous stabilizing feedback

被引：31

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

页码：13 / 33

页数：21

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