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
收藏
页码：6458 / 6465
页数：8
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