Stabilization of Discrete-Time Linear Systems Subject to Input Saturation and Multiple Unknown Constant Delays

被引：6

作者：

Wang, Xu ^{[1
]}

Saberi, Ali ^{[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：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2014年 / 59卷 / 06期

关键词：

Time-delay system; STABILITY; INTEGRATORS; CHAIN;

D O I：

10.1109/TAC.2013.2294615

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 technical note, we study the semi-global stabilization of general linear discrete-time critically unstable systems subject to input saturation and multiple unknown input delays. Based on a simple frequency-domain stability criterion, we find upper bounds for delays that are inversely proportional to the argument of open-loop eigenvalues on the unit circle. For delays satisfying these upper bounds, linear low-gain state and finite dimensional dynamic measurement feedbacks are constructed to solve the semi-global stabilization problems.

引用

页码：1667 / 1672

页数：6

共 22 条

[1] A CHRONOLOGICAL BIBLIOGRAPHY ON SATURATING ACTUATORS [J].

BERNSTEIN, DS ;

MICHEL, AN .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1995, 5 (05) :375-380

[2] Stabilization of a chain of integrators with an unknown delay in the input by adaptive output feedback [J].

Choi, Ho-Lim ;

Lim, Jong-Tae .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (08) :1359-1363

[3] PROCEDURE FOR DETERMINATION OF EXPONENTIAL STABILITY OF CERTAIN DIFFERENTIAL-DIFFERENCE EQUATIONS [J].

DATKO, R .

QUARTERLY OF APPLIED MATHEMATICS, 1978, 36 (03) :279-292

[4] New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems [J].

Fridman, E .

SYSTEMS & CONTROL LETTERS, 2001, 43 (04) :309-319

[5]

GU K., 2003, CONTROL ENGN SER BIR

[6]

Hu Tingshu, 2001, CONTROL ENGN SER

[7] Static output feedback stabilization: Necessary conditions for multiple delay controllers [J].

Kharitonov, VL ;

Niculescu, SI ;

Moreno, J ;

Michiels, W .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (01) :82-86

[8] ROBUSTNESS RESULTS IN LINEAR-QUADRATIC GAUSSIAN BASED MULTIVARIABLE CONTROL DESIGNS [J].

LEHTOMAKI, NA ;

SANDELL, NR ;

ATHANS, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (01) :75-92

[9] SEMIGLOBAL EXPONENTIAL STABILIZATION OF LINEAR-SYSTEMS SUBJECT TO INPUT SATURATION VIA LINEAR FEEDBACKS [J].

LIN, ZL ;

SABERI, A .

SYSTEMS & CONTROL LETTERS, 1993, 21 (03) :225-239

[10] Global asymptotic stabilization for chains of integrator with a delay in the input [J].

Mazenc, F ;

Mondié, S ;

Niculescu, SI .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (01) :57-63

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