Robust Stabilization of Control Affine Systems with Homogeneous Functions

被引：1

作者：

Zimenko, Konstantin ^{[1
]}

Polyakov, Andrey ^{[1
,2
]}

Efimov, Denis ^{[1
,2
]}

机构：

[1] ITMO Univ, Fac Control Syst & Robot, 49 Kronverkskiy Av, St Petersburg 197101, Russia

[2] Univ Lille, INRIA, CNRS, UMR 9189,CRIStAL, F-59000 Lille, France

来源：

IFAC PAPERSONLINE | 2020年 / 53卷 / 02期

关键词：

Nonlinear control; control affine systems; robust stabilization; homogeneous systems; FINITE-TIME; NONLINEAR-SYSTEMS; LYAPUNOV FUNCTION; STABILITY; DESIGN; APPROXIMATIONS;

D O I：

10.1016/j.ifacol.2020.12.1755

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 stabilization problem of the affine control system X = f0 (x) + Sigma(m)(i=)(1) u(i)f(i) (x) with homogeneous functions f o , L is studied. This class of systems is of interest due to the robust properties of homogeneity and the fact that many affine systems can be approximated by or transformed to the class under consideration. An advantage of the introduced design method is that the tuning rules are presented in the form of linear matrix inequalities. Performance of the approach is illustrated by a numerical example. Copyright (C) 2020 The Authors.

引用

页码：6311 / 6316

页数：6

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