Quadratic stability and stabilization of linear systems with Frobenius norm-bounded uncertainties

被引：0

作者：

Lee, JH ^{[1
]}

Kwon, WH ^{[1
]}

Lee, JW ^{[1
]}

机构：

[1] SEOUL NATL UNIV,ENGN RES CTR ADV CONTROL & INSTRUCT,KWANAK GU,SEOUL 151742,SOUTH KOREA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1996年 / 41卷 / 03期

关键词：

D O I：

暂无

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 paper, a quadratic stability condition and a quadratic stabilizer are proposed for linear systems with Frobenius norm-bounded uncertainties. The necessary and sufficient condition for the quadratic stability of the uncertain system is given by a Riccati inequality. The proposed state feedback quadratic stabilizer can be obtained by solving a Riccati equation.

引用

页码：453 / 456

页数：4

共 50 条

[41] H∞ control of discrete-time linear systems with norm-bounded uncertainties and time delay in state
Song, SH
Kim, JK
AUTOMATICA, 1998, 34 (01) : 137 - 139
[42] Robust Stabilization of Discrete-time Constrained Singular Piecewise-affine Systems with Norm-bounded Uncertainties
Zhenhua Zhou
Mao Wang
Qitian Yin
Journal of Harbin Institute of Technology, 2015, 22 (01) : 43 - 53
[43] Robust stabilization of discrete-time constrained singular piecewise-affine systems with norm-bounded uncertainties
Zhou, Zhenhua
Wang, Mao
Yin, Qitian
Journal of Harbin Institute of Technology (New Series), 2015, 22 (01) : 43 - 53
[44] Robust Stabilization of Discrete-time Constrained Singular Piecewise-affine Systems with Norm-bounded Uncertainties
Zhenhua Zhou
Mao Wang
Qitian Yin
Journal of Harbin Institute of Technology(New series), 2015, (01) : 43 - 53
[45] Robust normalization and stabilization of uncertain a descriptor systems with norm-bounded perturbations
Lin, C
Wang, QG
Lee, TH
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (04) : 515 - 520
[46] Stability of nonlinear systems with complex disc and norm-bounded perturbations
Impram, ST
Munro, N
PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2000, : 3111 - 3115
[47] Absolute stability of nonlinear systems with disc and norm-bounded perturbations
Impram, ST
Munro, N
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2004, 14 (01) : 61 - 78
[48] Local stabilization for linear discrete-time systems with bounded controls and norm-bounded time-varying uncertainty
Tarbouriech, S
Garcia, G
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1998, 8 (10) : 831 - 844
[49] An improved MPC algorithm for norm-bounded uncertain linear systems
Casavola, A
Famularo, D
Franzè, G
PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2003, : 927 - 932
[50] STABILIZATION OF BILINEAR TIME-VARYING SYSTEMS WITH NORM-BOUNDED CONTROLS
Kharrat, Thouraya
Mabrouk, Fehmi
Omri, Fawzi
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2021, 82 : 107 - 115

← 1 2 3 4 5 →