A state-set estimation algorithm for linear systems in the presence of bounded disturbances

被引:13
|
作者
Spathopoulos, MP
Grobov, ID
机构
[1] Division of Dynamics and Control, James Weir Building, University of Strathclyde, Glasgow, Gl 1XJ
关键词
D O I
10.1080/00207179608921869
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 concerns the problem of state-set estimation for discrete-time linear systems. The linear system is given in state-space form and the system's uncertainty is described by bounded scalar variations. We present a recursive algorithmic procedure of computing guaranteed estimated state sets. In particular, a polyhedron variation algorithm is presented. The new algorithm is based on linear-programming and sensitivity analysis techniques for improved computational efficiency and practicability.
引用
收藏
页码:799 / 811
页数:13
相关论文
共 50 条
  • [21] A parameter estimation algorithm for nonlinear multivariable systems subject to bounded disturbances
    Becis-Aubry, Y
    Boutayeb, M
    Darouch, M
    PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2003, : 3573 - 3578
  • [22] Reachable set estimation for continuous delayed singularly perturbed systems with bounded disturbances
    Liu, Guobao
    Chen, Xiangyong
    Shen, Zhongyu
    Liu, Yajuan
    Jia, Xianglei
    APPLIED MATHEMATICS AND COMPUTATION, 2022, 416
  • [23] Reachable set estimation and controller design for distributed delay systems with bounded disturbances
    Zhang, Baoyong
    Lam, James
    Xu, Shengyuan
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (06): : 3068 - 3088
  • [24] Exact State Estimation for Linear Systems with Unbounded Disturbances
    Fei Li
    Guorong Zhao
    Jingli Huang
    Circuits, Systems, and Signal Processing, 2015, 34 : 1519 - 1533
  • [25] Exact State Estimation for Linear Systems with Unbounded Disturbances
    Li, Fei
    Zhao, Guorong
    Huang, Jingli
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2015, 34 (05) : 1519 - 1533
  • [26] Ellipsoidal state-bounding-based set-membership estimation for linear system with unknown-but-bounded disturbances
    Liu, Yushuang
    Zhao, Yan
    Wu, Falin
    IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (04): : 431 - 442
  • [27] Robust control of linear systems with bounded state dependent additive disturbances
    Ghaemi, Reza
    Kolmanovsky, Ilya V.
    Sun, Jing
    49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 5198 - 5203
  • [28] State estimation for piecewise affine, discrete time systems with bounded disturbances
    Rakovic, SV
    Mayne, DQ
    2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 3557 - 3562
  • [29] Reachable Set Bounding for Linear Discrete-Time Systems with Delays and Bounded Disturbances
    Nguyen D. That
    Phan T. Nam
    Q. P. Ha
    Journal of Optimization Theory and Applications, 2013, 157 : 96 - 107
  • [30] Reachable Set Bounding for Linear Discrete-Time Systems with Delays and Bounded Disturbances
    That, Nguyen D.
    Nam, Phan T.
    Ha, Q. P.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 157 (01) : 96 - 107