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Homogeneous Control Design Using Invariant Ellipsoid Method

delete2024-09-01
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OA
AI
S
Siyuan Wang
段海滨 (Haibin Duan) *
G
Gang Zheng
X
Xubin Ping
D
Driss Boutat
A
Andrey Polyakov
DOI:10.1109/TAC.2024.3384844delete
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Abstract

Abstract

En 中文
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.
Keywords:
Ellipsoids
Symmetric matrices
Perturbation methods
Control design
Vectors
Uncertainty
Tuning
Homogeneity
invariant set
linear matrix inequality (LMI)

Journal

IEEE Transactions on Automatic Control cover
IEEE Transactions on Automatic Control
IF:
7
Papers:
1.3W
Citations:
6.7W

Organization

B
Beihang University
Scholars:
5.2W
Papers: 4.1W
Citations: 37
X
Xidian University
Scholars:
2.4W
Papers: 1.9W
Citations: 9.7K