Homogeneous Control Design Using Invariant Ellipsoid Method

被引：0

作者：

Wang, Siyuan ^{[1
]}

Duan, Haibin ^{[2
]}

Zheng, Gang ^{[3
]}

Ping, Xubin ^{[4
]}

Boutat, Driss ^{[5
]}

Polyakov, Andrey

机构：

[1] Beihang Univ, State Key Lab Virtual Real Technol & Syst, Beijing 100191, Peoples R China

[2] Beihang Univ BUAA, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China

[3] INRIA Lille, F-59000 Lille, France

[4] Xidian Univ, Xidian 710071, Peoples R China

[5] INSA Ctr Val de Loire, F-18000 Bourges, France

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2024年 / 69卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Ellipsoids; Symmetric matrices; Perturbation methods; Control design; Vectors; Uncertainty; Tuning; Homogeneity; invariant set; linear matrix inequality (LMI); BOUNDED EXOGENOUS DISTURBANCES; H-INFINITY-CONTROL; ROBUST STABILIZATION; LINEAR-SYSTEMS; MIMO SYSTEMS; FEEDBACK; TRANSFORMATIONS; STABILIZABILITY; STABILITY;

D O I：

10.1109/TAC.2024.3384844

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 invariant ellipsoid method is aimed at minimization of the smallest invariant and attractive set of a control system operating under bounded external disturbances and parametric uncertainties. This article extends this technique to a class of the so-called generalized homogeneous system. The generalized homogeneous optimal (in the sense of invariant ellipsoid) controller allows further improvement of the control system providing a faster convergence and smaller overshoots. Theoretical results are supported by numerical simulations and experiments.

引用

页码：6458 / 6465

页数：8

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