Stabilisation of controlled positive delayed continuous-time systems

被引：16
|
作者：
Benzaouia, A. [1 ]
Hmamed, A. [2 ]
Tadeo, F. [3 ]
机构：
[1] EACPI, Unit Res, Dept Phys, Fac Sci Semlalia, Marrakech 40000, Morocco
[2] Univ Mohamed Ben Abdellah, LESSI, Unit Res, Fac Sci Dhar EL Mhraz, Fes, Morocco
[3] Univ Valladolid, Dept Ingn Sistemas & Automat, E-47005 Valladolid, Spain
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2010年 / 41卷 / 12期
关键词：
positive systems; delay systems; stabilisation; output feedback control; bounded controls; linear programming; LINEAR-SYSTEMS; STABILITY; STATE;
D O I：
10.1080/00207720903353641
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 article solves the stabilisation problem by output feedback control for linear continuous-time systems with delay. This technique can be applied for both positive systems and controlled positive systems (systems becoming positive in closed-loop). The synthesis of feedback controllers is solved in terms of linear programs, extending the solution also to stabilisation with bounded control and stabilisation by controllers with the memory of the delayed state. The proposed conditions do not involve the value of the delay. Some examples illustrate the proposed approach.
引用
收藏
页码：1473 / 1479
页数：7
相关论文
共 50 条
  • [31] On positively invariant polyhedrons for continuous-time positive linear systems
    Du, Baozhu
    Xu, Shengyuan
    Shu, Zhan
    Chen, Ying
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (17): : 12571 - 12587
  • [32] Stabilisation of continuous-time switched 2D systems with all unstable modes
    Guan, Chaoxu
    Fei, Zhongyang
    Wang, Zhenhuan
    Wu, Ligang
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (06) : 793 - 801
  • [33] Positive fractional continuous-time linear systems with singular pencils
    Kaczorek, T.
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2012, 60 (01) : 9 - 12
  • [34] Stability of Positive Fractional Continuous-Time Linear Systems with Delays
    Kaczorek, Tadeusz
    ADAPTIVE AND NATURAL COMPUTING ALGORITHMS, PT II, 2011, 6594 : 305 - +
  • [35] Stability of interval positive fractional continuous-time linear systems
    Kaczorek, Tadeusz
    2017 EUROPEAN CONFERENCE ON ELECTRICAL ENGINEERING AND COMPUTER SCIENCE (EECS), 2017, : 314 - 317
  • [36] On controllability of fractional positive continuous-time linear systems with delay
    Sikora, Beata
    Matlok, Nikola
    ARCHIVES OF CONTROL SCIENCES, 2021, 31 (01) : 29 - 51
  • [37] Spectral perspective on stability and stabilisation of continuous-time mean-field stochastic systems
    Ma, Limin
    Zhang, Weihai
    Xia, Jianwei
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (08) : 1137 - 1146
  • [38] Event-triggered stabilisation for continuous-time switched non-linear systems under switching constraints
    Peng, Lianghong
    Ai, Zidong
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (08) : 1182 - 1186
  • [39] Positive state-bounding observer for positive interval continuous-time systems with time delay
    Li, Ping
    Lam, James
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2012, 22 (11) : 1244 - 1257
  • [40] Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays
    Liu, Xingwen
    Yu, Wensheng
    Wang, Long
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (04) : 1024 - 1028
12345