Partial state estimation for linear systems with output and input time delays

被引:31
|
作者
Ha, Q. P. [1 ]
That, Nguyen D. [1 ,2 ]
Nam, Phan T. [3 ]
Trinh, H. [4 ]
机构
[1] Univ Technol Sydney, Fac Engn & Informat Technol, Sydney, NSW 2007, Australia
[2] Vietnam Maritime Univ, Fac Marine Elect & Elect Engn, Vung Tau, Vietnam
[3] Quynhon Univ, Dept Math, Binhdinh, Vietnam
[4] Deakin Univ, Sch Engn, Geelong, Vic 3217, Australia
关键词
Partial state observer; Output and input delay; Lyapunov-Krasovskii functional; Delay decomposition; epsilon-Convergence; H-INFINITY CONTROL; NONLINEAR-SYSTEMS; LMI APPROACH; STABILITY; DISTURBANCES; INEQUALITY;
D O I
10.1016/j.isatra.2013.12.025
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 partial state observer design for linear systems that are subject to time delays in the measured output as well as the control input. By choosing a set of appropriate augmented Lyapunov-Krasovskii functionals with a triple-integral term and using the information of both the delayed output and input, a novel approach to design a minimal-order observer is proposed to guarantee that the observer error is e-convergent with an exponential rate. Existence conditions of such an observer are derived in terms of matrix inequalities for the cases with time delays in both the output and input and with output delay only. Constructive design algorithms are introduced. Numerical examples are provided to illustrate the design procedure, practicality and effectiveness of the proposed observer. (C) 2013 ISA. Published by Elsevier Ltd. All rights reserved.
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页码:327 / 334
页数:8
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