Output finite-time stabilisation of a class of linear and bilinear control systems

被引：3
|
作者：
Najib, Hanan [1 ,2 ]
Ouzahra, Mohamed [1 ]
机构：
[1] Univ Sidi Mohamed Ben Abdellah Fes, Dept Math & Informat, Lab M2PA, Fes, Morocco
[2] Univ Sidi Mohamed Ben AbdellahFes, Dept Math & Informat, Lab M2PA, POB 5206, Fes, Morocco
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2024年 / 97卷 / 04期
关键词：
Maximal monotone operators; linear systems; bilinear control; finite-time stabilisation; X-2 HYPERBOLIC SYSTEMS; PARTIAL STABILITY; FEEDBACK-CONTROL; TRAFFIC FLOW; CONTROLLABILITY;
D O I：
10.1080/00207179.2023.2166874
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Based on the idea of Lyapunov function, we investigate the output finite-time stability of some classes of abstract bilinear systems using feedback control laws. We first design a stabilising feedback control. Then, we study the well-posedness of the system in closed-loop by using the theory of maximal monotone operators. Then we proceed to the question of output finite-time stability in a settling time of the system at hand. The obtained results are also applied to derive output finite time stabilisation results for linear systems. The algorithm of feedback control design is further applied to finite dimension systems and also to PDE of parabolic and hyperbolic types.
引用
收藏
页码：690 / 700
页数：11
相关论文
共 50 条
  • [21] Global finite-time output feedback stabilisation for a class of switched high-order nonlinear systems
    Zhai, Jun-yong
    Song, Zhi-bao
    Fei, Shu-min
    Zhu, Zhengwei
    INTERNATIONAL JOURNAL OF CONTROL, 2018, 91 (01) : 170 - 180
  • [22] Input-output finite-time stabilization of linear systems with finite-time boundedness
    Guo, Yang
    Yao, Yu
    Wang, Shicheng
    Ma, Kemao
    Liu, Kai
    Guo, Jian
    ISA TRANSACTIONS, 2014, 53 (04) : 977 - 982
  • [23] Finite-time control of linear time-varying systems via output feedback
    Amato, F
    Ariola, M
    Cosentino, C
    ACC: Proceedings of the 2005 American Control Conference, Vols 1-7, 2005, : 4722 - 4726
  • [24] Finite-time boundedness and stabilisation for a class of non-linear quadratic time-delay systems with disturbances
    Chen, Fu
    Xu, Shengyuan
    Zou, Yun
    Zhang, Minsong
    IET CONTROL THEORY AND APPLICATIONS, 2013, 7 (13): : 1683 - 1688
  • [25] Finite-time stabilisation of a class of switched nonlinear systems with state constraints
    Huang, Shipei
    Xiang, Zhengrong
    INTERNATIONAL JOURNAL OF CONTROL, 2018, 91 (06) : 1300 - 1313
  • [26] Finite-time annular domain stability and stabilisation of linear positive systems
    Yan, Zhiguo
    Yang, Tong
    Zhu, Baolong
    Chang, Gaizhen
    INTERNATIONAL JOURNAL OF CONTROL, 2024, 97 (03) : 460 - 469
  • [27] Robust Finite-Time Control of Switched Linear Systems and Application to a Class of Servomechanism Systems
    Zhang, Lixian
    Wang, Shun
    Karimi, Hamid Reza
    Jasra, Ajay
    IEEE-ASME TRANSACTIONS ON MECHATRONICS, 2015, 20 (05) : 2476 - 2485
  • [28] Finite-Time Stabilizability, Detectability, and Dynamic Output Feedback Finite-Time Stabilization of Linear Systems
    Amato, F.
    Darouach, M.
    De Tommasi, G.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (12) : 6521 - 6528
  • [29] Global finite-time stabilisation for a class of nonlinear systems in thep-normal form via output feedback
    Wang, Xuhuan
    Xiang, Zhengrong
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2020, 51 (09) : 1604 - 1621
  • [30] Finite-time output feedback control of linear systems via differential linear matrix conditions
    Amato, F.
    Ariola, M.
    Carbone, M.
    Cosentino, C.
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 5371 - +
12345