Chattering Analysis

被引：324

作者：

Levant, Arie ^{[1
]}

机构：

[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2010年 / 55卷 / 06期

关键词：

Chattering effect; high-order sliding mode (HOSM); homogeneity; variable structure systems; ORDER; SYSTEMS; DIFFERENTIATION;

D O I：

10.1109/TAC.2010.2041973

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A formal mathematical definition of chattering is proposed. Chattering phenomena are classified into three types. In particular, the first type is harmless and cannot be avoided. Chattering properties of various control approaches are considered. The dangerous second and third types of chattering phenomena are proved to be removable by proper use of high-order sliding-modes (HOSM). Fast stable actuators and sensors only generate the first type of chattering in HOSM systems and practically never affect the sliding motion. Computer simulation confirms the theoretical results.

引用

页码：1380 / 1389

页数：10

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