Control with Positivity Constraint for 2D Continuous-Time Systems in Roesser Model

被引：0
|
作者：
M. Alfidi
A. Hmamed
F. Tadeo
A. Benzaouia
机构：
[1] Sidi Mohamed Ben Abdellah University,Engineering, Systems, and Applications Laboratory, National School of Applied Sciences
[2] LESSI,LAEPT
[3] Department of Physics Faculty of Sciences,URAC 28, Faculty of Sciences Semlalia
[4] University Cadi Ayyad,Department of Ingenieria de Sistemas y Automatica
[5] Universidad de Valladolid,undefined
来源：
Journal of Control, Automation and Electrical Systems | 2021年 / 32卷
关键词：
2D continuous-time systems; Stabilization; Bounded controls; Positive systems; Positive control; Roesser model; Linear programming;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper deals with the stability synthesis for a class of 2D continuous-time systems described by the Roesser model. Conditions for stability and stabilization of positive continuous-time Roesser systems are derived, for which the states take non-negative values whenever the initial conditions are non-negative. As well, the synthesis of state-feedback controllers, including the requirement of positiveness of the controllers, and its extension to uncertain plants are solved in terms of linear programming. In addition, the synthesis problem with non-symmetrical bounds and stabilization are also treated. Numerical examples are included to illustrate the proposed approach.
引用
收藏
页码：70 / 81
页数：11
相关论文
共 50 条
  • [1] Control with Positivity Constraint for 2D Continuous-Time Systems in Roesser Model
    Alfidi, M.
    Hmamed, A.
    Tadeo, F.
    Benzaouia, A.
    JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS, 2021, 32 (01) : 70 - 81
  • [2] Stability of Nonlinear 2D Systems Described by the Continuous-Time Roesser Model
    Emelianova, J. P.
    Pakshin, P. V.
    Galkowski, K.
    Rogers, E.
    AUTOMATION AND REMOTE CONTROL, 2014, 75 (05) : 845 - 858
  • [3] Stability of nonlinear 2D systems described by the continuous-time Roesser model
    J. P. Emelianova
    P. V. Pakshin
    K. Gałkowski
    E. Rogers
    Automation and Remote Control, 2014, 75 : 845 - 858
  • [4] Finite-Time Stability and Control of 2D Continuous–Discrete Systems in Roesser Model
    Jingbo Gao
    Weiqun Wang
    Guangchen Zhang
    Circuits, Systems, and Signal Processing, 2018, 37 : 4789 - 4809
  • [5] Finite-Time Stability and Control of 2D Continuous-Discrete Systems in Roesser Model
    Gao, Jingbo
    Wang, Weiqun
    Zhang, Guangchen
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2018, 37 (11) : 4789 - 4809
  • [6] Stability of Nonlinear 2D Systems Described by the Continuous-Time Roesser Model (vol 75, pg 845, 2014)
    Emelianova, J. P.
    Emelianov, M. A.
    Pakshin, P. V.
    Lkowski, K. Ga
    Rogers, E.
    AUTOMATION AND REMOTE CONTROL, 2016, 77 (01) : 130 - 132
  • [7] Positivity and stability of fractional 2D Lyapunov systems described by the Roesser model
    Rogowski, K.
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2011, 59 (02) : 195 - 200
  • [8] POSITIVITY AND STABILIZATION OF FRACTIONAL 2D LINEAR SYSTEMS DESCRIBED BY THE ROESSER MODEL
    Kaczorek, Tadeusz
    Rogowski, Krzysztof
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2010, 20 (01) : 85 - 92
  • [9] H2 State-Feedback Control for Continuous-Time Systems under Positivity Constraint
    Ebihara, Yoshio
    Colaneri, Patrizio
    Geromel, Jose C.
    2019 18TH EUROPEAN CONTROL CONFERENCE (ECC), 2019, : 3797 - 3802
  • [10] Addenda to the papers “stability of nonlinear 2D systems described by the continuous-time Roesser model” and “stabilization of differential repetitive processes”
    J. P. Emelianova
    M. A. Emelianov
    P. V. Pakshin
    K. Gałkowski
    E. Rogers
    Automation and Remote Control, 2016, 77 : 130 - 132
12345