Homogeneous systems stabilization based on convex embedding

被引：2
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：
AUTOMATICA | 2023年 / 154卷
基金：
俄罗斯科学基金会;
关键词：
homogeneous systems; nonlinear systems; finite-time stabilization; nearly fixed-time stabilization; FINITE-TIME STABILITY; FEEDBACK STABILIZATION; APPROXIMATIONS; NILPOTENT; DESIGN;
D O I：
10.1016/j.automatica.2023.111108
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 paper develops control algorithms for a class of affine nonlinear systems using the so-called canonical homogeneous representation. It is demonstrated that such a representation exists for any homogeneous vector field bounded on the unit sphere. It is shown that canonical homogeneous representation is useful for LMI-based control design and stability analysis of nonlinear systems. Theoretical results are supported by numerical examples. & COPY; 2023 Elsevier Ltd. All rights reserved.
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页数：10
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