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

来源：

AUTOMATICA | 2012年 / 48卷 / 10期

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

页码：2633 / 2639

页数：7

共 29 条

[21]

Wang X., 2011, INT J ROBUST NONLINE

[22] Further results on the disturbance response of a double integrator controlled by a saturating linear static state feedback [J].

Wang, Xu ;

Saberi, Ali ;

Stoorvogel, Anton A. ;

Grip, Havard Fjaer .

AUTOMATICA, 2012, 48 (02) :430-435

[23]

Wang X, 2011, P AMER CONTR CONF, P3808

[24] On the disturbance response and external stability of a saturating static-feedback-controlled double integrator [J].

Wen, Zheng ;

Roy, Sandip ;

Saberi, Ali .

AUTOMATICA, 2008, 44 (08) :2191-2196

[25] Linear systems subject to input saturation and time delay:: Finite-gain Lp-stabilization [J].

Yakoubi, Karim ;

Chitour, Yacine .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2006, 45 (03) :1084-1115

[26]

YANG Y, 1993, THESIS RUTGERS U NEW

[27] Global stabilization of linear discrete-time systems with bounded feedback [J].

Yang, YD ;

Sontag, ED ;

Sussmann, HJ .

SYSTEMS & CONTROL LETTERS, 1997, 30 (05) :273-281

[28] A parametric Lyapunov equation approach to the design of low gain feedback [J].

Zhou, Bin ;

Duan, Guangren ;

Lin, Zongli .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (06) :1548-1554

[29] A parametric Lyapunov equation approach to low gain feedback design for discrete-time systems [J].

Zhou, Bin ;

Lin, Zongli ;

Duan, Guang-Ren .

AUTOMATICA, 2009, 45 (01) :238-244

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