Further Results on Control of Singularly Perturbed Time-Delayed Systems with Nonlinear Uncertainties

被引：0

作者：

Makki, Bahador ^{[1
]}

Makki, Baharak ^{[2
]}

机构：

[1] Univ Bremen, Bibliothekstr 1, D-28357 Bremen, Germany

[2] Univ Agder, Fac Sci & Technol, Dept Engn, Grimstad, Norway

来源：

PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE | 2012年

关键词：

singularly perturbed systems; robust control; delay; LMI; H-INFINITY CONTROL;

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：

This paper deals with the problem of robust control design for singularly perturbed systems with time delays and norm-bounded nonlinear uncertainties. The model under investigation considers discrete delays in both slow and fast dynamics. Based on a Lyapunov-Krasovskii functional, some sufficient conditions are developed in terms of linear matrix inequalities (LMIs). It is shown that the control gains are obtained to guarantee the stability of the closed-loop system for all perturbed parameters. An illustrative example is provided to demonstrate the applicability of the proposed design approach.

引用

页码：160 / 164

页数：5

共 31 条

[1] INITIAL EXPERIMENTS ON THE ENDPOINT CONTROL OF A FLEXIBLE ONE-LINK ROBOT
CANNON, RH
SCHMITZ, E
[J]. INTERNATIONAL JOURNAL OF ROBOTICS RESEARCH, 1984, 3 (03) : 62 - 75
[2] ON THE STABILITY BOUNDS OF SINGULARLY PERTURBED SYSTEMS
CHEN, BS
LIN, CL
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (11) : 1265 - 1270
[3] Cheng C-P., 1992, INT J ROBUST NONLINE, V2, P211, DOI [10.1002/rnc.4590020304, DOI 10.1002/RNC.4590020304]
[4] An infinite ε-bound stabilization design for a class of singularly perturbed systems
Chiou, JS
Kung, FC
Li, THS
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1999, 46 (12) : 1507 - 1510
[5] Doyle J. C., IEE P D, V129
[6] STATE-SPACE SOLUTIONS TO STANDARD H-2 AND H-INFINITY CONTROL-PROBLEMS
DOYLE, JC
GLOVER, K
KHARGONEKAR, PP
FRANCIS, BA
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (08) : 831 - 847
[7] Fraser A.R., 1991, PERTURBATION TECHNIQ
[8] Exact slow-fast decomposition of the nonlinear singularly perturbed optimal control problem
Fridman, E
[J]. SYSTEMS & CONTROL LETTERS, 2000, 40 (02) : 121 - 131
[9] Gajic Z, 2000, P AMER CONTR CONF, P2420, DOI 10.1109/ACC.2000.878615
[10] GAWRONSKI W, 1993, P AM CONTR C JUN

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