Sliding mode control design using canonical homogeneous norm

被引:69
作者
Polyakov, Andrey [1 ,2 ]
机构
[1] Inria Lille Nord Europe, NON A Team, Villeneuve Dascq, France
[2] ITMO Univ, Dept Control Syst & Informat, St Petersburg, Russia
基金
俄罗斯科学基金会;
关键词
homogeneous systems; sliding mode control; stability; FINITE-TIME STABILITY; LYAPUNOV FUNCTION; STABILIZATION; SYSTEMS; ORDER; STABILIZABILITY;
D O I
10.1002/rnc.4058
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The problem of sliding mode control design for a nonlinear plant is studied. The necessary and sufficient conditions of quadratic-like stability (stabilizability) for a nonlinear homogeneous (control) system are obtained. Sufficient conditions of robust stability/stabilizability are deduced. The results are supported with academic examples of sliding mode control design.
引用
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页码:682 / 701
页数:20
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