Semi-global stabilization of discrete-time linear systems with unsymmetrical saturation

被引：7

作者：

Wu, Wen-Juan ^{[1
]}

Liu, Hai-Tao ^{[2
]}

机构：

[1] Tianjin Normal Univ, Coll Comp & Informat Engn, Tianjin 300387, Peoples R China

[2] Hebei Univ Technol, Sch Mech Engn, Tianjin 300130, Peoples R China

来源：

ISA TRANSACTIONS | 2019年 / 92卷

关键词：

Discrete-time linear system; Unsymmetric saturation; Parametric Lyapunov equation; Linear matrix inequalities(LMIs); H-INFINITY CONTROL; INPUT SATURATION; EXPONENTIAL STABILIZATION; ACTUATOR SATURATION; MULTIAGENT SYSTEMS; SUBJECT; DELAY; CONSENSUS; FEEDBACK;

D O I：

10.1016/j.isatra.2019.02.008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the stabilization problem for discrete-time linear system with unsymmetric saturation. To handle the structural properties of the unsymmetric saturation nonlinearity, the description of the transformation carries from the symmetric case to the unsymmetric case is employed. By using the parametric Lyapunov equation-based low gain feedback design approach, linear matrix inequality formulations for the state feedback and output feedback control design are given. The effectiveness of the proposed method is confirmed by numerical examples. (C) 2019 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：134 / 144

页数：11

共 50 条

[31] Global stabilization of discrete-time linear systems with bounded inputs
AlvarezRamirez, J
Suarez, R
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 1996, 10 (4-5) : 409 - 416
[32] Global stabilization of linear discrete-time systems with bounded feedback
Yang, YD
Sontag, ED
Sussmann, HJ
SYSTEMS & CONTROL LETTERS, 1997, 30 (05) : 273 - 281
[33] On the stabilization of linear discrete-time systems
Ferreira, C
Silva, FC
LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 390 : 7 - 18
[34] Feedback stabilization of discrete-time homogeneous semi-linear systems
Grüne, L
Wirth, F
SYSTEMS & CONTROL LETTERS, 1999, 37 (01) : 19 - 30
[35] Semi-global stabilization of parabolic PDE–ODE systems with input saturation
Xu, Xiang
Li, Bin
Automatica, 2025, 171
[36] Robust semi-global stabilization of linear systems with imperfect actuators
Lin, ZL
SYSTEMS & CONTROL LETTERS, 1997, 29 (04) : 215 - 221
[37] Global stabilization of non-linear discrete-time systems by linear feedback
Medina, Rigoberto
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2008, 25 (03) : 341 - 351
[38] Finite gain stabilization of discrete-time linear systems subject to actuator saturation
Bao, XY
Lin, ZL
Sontag, ED
AUTOMATICA, 2000, 36 (02) : 269 - 277
[39] Semi-global stabilization of linear time-delay systems with control energy constraint
Zhou, Bin
Lin, Zongli
Lam, James
AUTOMATICA, 2012, 48 (04) : 694 - 698
[40] Semi-global exponential stabilization of stochastic nonlinear systems with distributed delay under discrete-time state observations and application to circuit systems
Zhang, Ning
Yao, Yajun
Li, Wenxue
EUROPEAN JOURNAL OF CONTROL, 2024, 77

← 1 2 3 4 5 →