New Duality Relations in Linear Systems and Optimal Control Under Bounded Disturbances

被引：2

作者：

Peregudin, Alexey ^{[1
]}

Furtat, Igor ^{[2
]}

机构：

[1] ITMO Univ, St Petersburg 197101, Russia

[2] Russian Acad Sci IPME RAS, Inst Problems Mech Engn, St Petersburg 199178, Russia

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2024年 / 69卷 / 08期

关键词：

Ellipsoids; Observability; Linear systems; Symbols; Optimal control; Eigenvalues and eigenfunctions; Task analysis; Attractive ellipsoids; invariant ellipsoids; optimal control; output feedback; system norms; EXOGENOUS DISTURBANCES; TIME;

D O I：

10.1109/TAC.2024.3371356

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, we introduce novel duality relations that complement the well-known invariant ellipsoids method. These relations yield ellipsoids with newly established geometrical interpretations and connections to linear system norms. The established duality leads to the optimal synthesis results for state-feedback control, filtering, and output-feedback control problems in the presence of bounded disturbances. The proposed output-feedback control solution is demonstrated to be optimal and surpass prior suboptimal results.

引用

页码：5569 / 5576

页数：8

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