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.
引用
收藏
页码:327 / 334
页数:8
相关论文
共 50 条
  • [31] State and input estimation for a class of discrete singular systems with multiple time-delays and unknown input
    Zhang, Chenghui
    Cui, Peng
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 (06): : 693 - 703
  • [32] Decoupling MIMO Systems with Multiple Input/Output Time Delays
    Albertos, Pedro
    Garcia, Pedro
    11TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION (ICARCV 2010), 2010, : 1957 - 1962
  • [33] Sliding Mode Control for Linear Systems with Time-Varying Input and State Delays
    Xia, Yuanqing
    Yang, Hongjiu
    Fu, Mengyin
    Shi, Peng
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2011, 30 (03) : 629 - 641
  • [34] Feedback theory for time-varying regular linear systems with input and state delays
    Hadd, Said
    Rhandi, Abdelaziz
    Schnaubelt, Roland
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2008, 25 (01) : 85 - 110
  • [35] Sliding Mode Control for Linear Systems with Time-Varying Input and State Delays
    Yuanqing Xia
    Hongjiu Yang
    Mengyin Fu
    Peng Shi
    Circuits, Systems, and Signal Processing, 2011, 30 : 629 - 641
  • [36] Observer Based Output Feedback Control of Linear Systems with Multiple Input and Output Delays
    Zhou, Bin
    Li, Zhao-Yan
    Lin, Zongli
    2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2012, : 2370 - 2375
  • [37] Implementation of delayed output feedback for linear systems with multiple input delays
    Xu, Chuanchuan
    Zhou, Bin
    IET CONTROL THEORY AND APPLICATIONS, 2017, 11 (12): : 2028 - 2035
  • [38] MAXIMUM LIKELIHOOD STATE ESTIMATION OF LINEAR DISCRETE SYSTEMS WITH MULTIPLE TIME DELAYS
    FAROOQ, M
    MAHALANABIS, AK
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1971, AC16 (01) : 104 - +
  • [39] Adaptive state estimation for a class of uncertain nonlinear systems with output time-delays
    Dimassi, Habib
    Loria, Antonio
    Belghith, Safya
    2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2012, : 2346 - 2351
  • [40] State-feedback stabilization of linear systems with input and state delays
    Mahmoud, M. S.
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2009, 223 (I4) : 557 - 565