Riesz basis approach to feedback stabilization for a cantilever beam system

被引：0
|
作者：
Wang, Jun-Min [1 ]
Xiong, Meng-Qing [1 ]
Yang, Chao [1 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
来源：
PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017) | 2017年
基金：
中国国家自然科学基金;
关键词：
Rayleigh beam; feedback control; exponential stability; POLYNOMIAL BOUNDARY-CONDITIONS; TIP MASS; DIFFERENTIAL-EQUATIONS; FLEXIBLE BEAM; AXIAL FORCE; VIBRATION;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we study the stabilization of an elastic beam system with axial force and a tip mass. The system is modeled as a Rayleigh beam equation. We propose a boundary feedback control moment to stabilize the closed-loop system. We first present the asymptotic expressions for the eigenpairs of the system and then show that the generalized eigenfunctions form a Riesz basis in the state space. Finally, we prove the exponential stability of the closed-loop system.
引用
收藏
页码：1563 / 1568
页数：6
相关论文
共 50 条
  • [41] Feedback stabilization of a thermal fluid system with mixed boundary control
    Burns, John A.
    He, Xiaoming
    Hu, Weiwei
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 71 (11) : 2170 - 2191
  • [42] Numerical stabilization of the Boussinesq system using boundary feedback control
    Chandrashekar, Praveen
    Ramaswamy, Mythily
    Raymond, Jean-Pierre
    Sandilya, Ruchi
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 89 : 163 - 183
  • [43] A simple approach to dynamic stabilization of a rotating body-beam
    Chentouf, B
    APPLIED MATHEMATICS LETTERS, 2006, 19 (01) : 97 - 107
  • [44] Boundary feedback stabilization of the undamped Euler-Bernoulli beam with both ends free
    Guo, FM
    Huang, FL
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2004, 43 (01) : 341 - 356
  • [45] On time delay velocity feedback control of the composite cantilever beam model subjected to multi-excitation forces
    Amer, Y. A.
    Bahnasy, Taher A.
    Elmhlawy, Ashraf M.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, (48): : 221 - 240
  • [46] Extremum Seeking Approach to Search the Optimal Feedback Gain of Euler-Bernoulli Beam Equation
    Pan, Kaicheng
    Wang, Junmin
    Lu, Lu
    2019 12TH ASIAN CONTROL CONFERENCE (ASCC), 2019, : 416 - 420
  • [47] An Integral Resonant Control Scheme for A Laser Beam Stabilization System
    Yue Yuan
    Song Zhuoyue
    2015 IEEE INTERNATIONAL CONFERENCE ON INFORMATION AND AUTOMATION, 2015, : 2221 - 2226
  • [48] Design of an Adaptive System for Stabilization of a Laser Beam for CNC Machine
    Fedosov, Yuri V.
    Afanasev, Maxim Ya.
    PROCEEDINGS OF THE 19TH CONFERENCE OF OPEN INNOVATIONS ASSOCIATION (FRUCT), 2016, : 31 - 36
  • [49] Feedback Stabilization for a Reaction-Diffusion System with Nonlocal Reaction Term
    Anita, Sebastian
    Arnautu, Viorel
    Dodea, Smaranda
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2011, 32 (04) : 351 - 369
  • [50] Feedback stabilization of the Cahn-Hilliard type system for phase separation
    Barbu, Viorel
    Colli, Pierluigi
    Gilardi, Gianni
    Marinoschi, Gabriela
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 262 (03) : 2286 - 2334
12345