Observability criteria for impulsive control systems with applications to biomedical engineering processes

被引:39
|
作者
Rivadeneira, Pablo S. [1 ,2 ]
Moog, Claude H. [1 ]
机构
[1] LUNAM, IRCCyN, UMR CNRS 6597, F-44321 Nantes 03, France
[2] INTEC Fac Ingn Quim UNL CONICET, Grp Sistemas No Lineales, RA-3450 Guemes, Santa Fe, Argentina
关键词
Impulsive control systems; Nonlinear systems; Observability; Diabetes mellitus Type I; HIV dynamics; NONLINEAR-SYSTEMS; OBSERVER DESIGN; CONTROLLABILITY; INSULIN;
D O I
10.1016/j.automatica.2015.02.042
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
One of the fundamental properties of the impulsive systems is analyzed: observability. Algebraic criteria for testing this property are obtained for the nonlinear case, considering continuous and discrete outputs. For this class of systems, observability is explored not only through time derivatives of the output, but also considering few discrete measurements at different time-instants. In this context, it is shown that nonlinear impulsive control systems can be strongly observable or observable over a finite time interval. A new rank condition based on the structure of the impulses is found to characterize observability of linear impulsive systems. It generalizes the celebrated Kalman criterion, for both kind of outputs, discrete and continuous. Finally, these results are tested and illustrated both on academic examples and on two impulsive dynamical models from biomedical engineering science. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:125 / 131
页数:7
相关论文
共 50 条
  • [1] Control Applications for Biomedical Engineering Systems
    Abo, Stephanie
    Hakimi, Shervin
    Layton, Anita T.
    Sadria, Mehrshad
    Smith, Delaney
    Stadt, Melissa
    West, Chris
    [J]. SIAM REVIEW, 2022, 64 (04)
  • [2] Controllability and Observability Criteria for Linear Piecewise Constant Impulsive Systems
    Shi, Hong
    Xie, Guangming
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [3] Nonlinear impulsive systems: Dynamics, control, and applications in science and engineering
    Li, Xiaodi
    Li, Chuandong
    Chen, Wu-Hua
    Stamova, Ivanka
    Haddad, Wassim M.
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 85
  • [4] On controllability and observability of impulsive control systems with delayed impulses
    Wu, Shuchen
    Sun, Xiaohui
    Li, Xiaodi
    Wang, Haipeng
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2020, 171 : 65 - 78
  • [5] Necessary and sufficient conditions for controllability and observability of switched impulsive control systems
    Xie, GM
    Wang, L
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (06) : 960 - 966
  • [6] On controllability and observability for a class of impulsive systems
    Guan, ZH
    Qian, TH
    Yu, XH
    [J]. SYSTEMS & CONTROL LETTERS, 2002, 47 (03) : 247 - 257
  • [7] Reachability and observability of linear impulsive systems
    Medina, Enrique A.
    Lawrence, Douglas A.
    [J]. AUTOMATICA, 2008, 44 (05) : 1304 - 1309
  • [8] Regularization method for optimally switched and impulsive systems with biomedical applications
    Verriest, EI
    [J]. 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 2156 - 2161
  • [9] Nonlinear Systems in Function Spaces and Applications in Biomedical Sciences, Control Theory, and Engineering
    Liang, Jin
    Cuevas, C.
    Diagana, T.
    N'Guerekata, G.
    Nguyen, M. Van
    [J]. JOURNAL OF FUNCTION SPACES, 2014, 2014
  • [10] Applications of nanogenerators for biomedical engineering and healthcare systems
    Wang, Wanli
    Pang, Jinbo
    Su, Jie
    Li, Fujiang
    Li, Qiang
    Wang, Xiaoxiong
    Wang, Jingang
    Ibarlucea, Bergoi
    Liu, Xiaoyan
    Li, Yufen
    Zhou, Weijia
    Wang, Kai
    Han, Qingfang
    Liu, Lei
    Zang, Ruohan
    Rummeli, Mark H.
    Li, Yang
    Liu, Hong
    Hu, Han
    Cuniberti, Gianaurelio
    [J]. INFOMAT, 2022, 4 (02)