Finite-time stabilization under state constraints

被引：3

作者：

Nekhoroshikh, Artem N. ^{[1
]}

Efimov, Denis ^{[2
]}

Polyakov, Andrey ^{[2
]}

Perruquetti, Wilfrid ^{[3
]}

Furtat, Igor B. ^{[4
]}

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

[3] Univ Lille, CNRS, CRIStAL, Cent Lille,UMR 9189, F-59000 Lille, France

[4] IPME RAS, VO, Bolshoj Pr 61, St Petersburg 199178, Russia

来源：

2021 60TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2021年

关键词：

LINEAR-CONTROL SYSTEMS; LYAPUNOV FUNCTION; MIMO SYSTEMS; DESIGN;

D O I：

10.1109/CDC45484.2021.9683133

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 problem of finite-time stabilization of linear systems under state and control input constraints in the presence of external disturbances is addressed. The proposed control is designed such that the closed-loop system is 1) superstable, when system trajectories risk to violate the state constraints, and 2) homogeneous with a negative degree, otherwise. While the former property ensures the fulfillment of the state and control constraints, the latter implies finite-time stability. The robustness of the control scheme with respect to disturbances is studied. Theoretical results are supported by numerical simulations.

引用

页码：4682 / 4687

页数：6

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