Robust Feedback Stabilization of Linear MIMO Systems Using Generalized Homogenization

被引：51
作者：
Zimenko, Konstantin [1 ]
Polyakov, Andrey [1 ,2 ]
Efimov, Denis [1 ,2 ]
Perruquetti, Wilfrid [2 ]
机构：
[1] ITMO Univ, Fac Control Syst & Robot, St Petersburg 197101, Russia
[2] Univ Lille, INRIA, CNRS, UMR 9189,CRIStAL, F-59000 Lille, France
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2020年 / 65卷 / 12期
关键词：
MIMO communication; Generators; Closed loop systems; Linear systems; Stability analysis; Symmetric matrices; Finite-time stabilization; generalized homogeneity; linear multi-input– multi-output system (MIMO) systems; FINITE-TIME STABILITY; HOMOGENEITY; DESIGN;
D O I：
10.1109/TAC.2020.2969718
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A robust nonlinear control is designed for stabilizing linear multi-input-multi-output systems. The presented control law homogenizes a linear system (without its transformation to a canonical form) with a specified degree and stabilizes it in a finite time (or with a fixed-time attraction to any compact set containing the origin) if the degree of homogeneity is negative (positive). The tuning procedure is formalized in an linear matrix inequalities (LMI) form. Performance of the approach is illustrated by numerical and experimental examples.
引用
收藏
页码：5429 / 5436
页数：8
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