A Sufficient Condition for Checking the Attractiveness of a Sliding Manifold in Fractional Order Sliding Mode Control

被引：17
作者：
Efe, Mehmet Onder [1 ]
机构：
[1] Univ Turkish Aeronaut Assoc, Pilotage Dept, TR-06070 Ankara, Turkey
来源：
ASIAN JOURNAL OF CONTROL | 2012年 / 14卷 / 04期
关键词：
Sliding mode control; fractional order systems; SYSTEMS;
D O I：
10.1002/asjc.430
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Stability issues of fractional order sliding mode control laws are analyzed in this paper. For differentiation orders less than unity, it is shown that a stable reaching law in the fractional order case corresponds to a stable reaching law in the integer order case. The contribution of the current study is to explain the stability of the closed loop by the use of the Caputo and Riemann-Liouville definitions of fractional order differentiation. Copyright (c) 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society
引用
收藏
页码：1118 / 1122
页数：5
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