Simultaneous external and internal stabilization of linear systems with input saturation and non-input-additive sustained disturbances

被引:2
作者
Wang, Xu [1 ]
Saberi, Ali [1 ]
Grip, Havard Fjaer [1 ]
Stoorvogel, Anton A. [2 ]
机构
[1] Washington State Univ, Sch Elect Engn & Comp Sci, Pullman, WA 99164 USA
[2] Univ Twente, Dept Elect Engn Math & Comp Sci, NL-7500 AE Enschede, Netherlands
关键词
Simultaneous stabilization; Input saturation; Low-and-high gain feedback; DISCRETE-TIME-SYSTEMS; L(P) STABILIZATION; SUBJECT; STABILITY;
D O I
10.1016/j.automatica.2012.06.063
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, we study simultaneous external and internal stabilization of the linear system under input saturation and non-input additive sustained disturbances. For systems that are asymptotic null controllable with bounded control, it is shown that a nonlinear dynamic feedback controller can be designed so that the closed-loop states remain bounded for any initial condition and for two classes of sustained disturbances, and that the equilibrium in the absence of disturbances is globally asymptotically stable. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2633 / 2639
页数:7
相关论文
共 29 条
[1]   Finite gain stabilization of discrete-time linear systems subject to actuator saturation [J].
Bao, XY ;
Lin, ZL ;
Sontag, ED .
AUTOMATICA, 2000, 36 (02) :269-277
[2]   A CHRONOLOGICAL BIBLIOGRAPHY ON SATURATING ACTUATORS [J].
BERNSTEIN, DS ;
MICHEL, AN .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1995, 5 (05) :375-380
[3]   Inite gain lP stabilization of discrete-time linear systems subject to actuator saturation:: The case of p=1 [J].
Chitour, Y ;
Lin, ZL .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (12) :2196-2198
[4]   IN-LARGE STABILITY OF RELAY AND SATURATING CONTROL SYSTEMS WITH LINEAR CONTROLLERS [J].
FULLER, AT .
INTERNATIONAL JOURNAL OF CONTROL, 1969, 10 (04) :457-&
[5]   Simultaneous external and internal stabilization for continuous and discrete-time critically unstable linear systems with saturating actuators [J].
Hou, P ;
Saberi, A ;
Lin, ZL ;
Sannuti, P .
AUTOMATICA, 1998, 34 (12) :1547-1557
[6]  
Hu Tingshu, 2001, CONTROL ENGN SER
[7]  
Kapila V., 2002, Actuator Saturation Control
[8]   Global control of linear systems with saturating actuators [J].
Lin, ZL .
AUTOMATICA, 1998, 34 (07) :897-905
[9]   On finite-gain stabilizability of linear systems subject to input saturation [J].
Liu, WS ;
Chitour, Y ;
Sontag, E .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1996, 34 (04) :1190-1219
[10]  
Megretski A., 1996, 13 WORLD C IFAC, P435