Stabilization of three-heat cascade system with one boundary control

被引：0
|
作者：
Pan, Lina [1 ]
Wang, Jun-Min [1 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
来源：
2022 41ST CHINESE CONTROL CONFERENCE (CCC) | 2022年
关键词：
Stabilization; three heat equations; three transformations; REACTION-DIFFUSION PDE; SUBJECT;
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 consider the exponential stabilization for a cascade system of three heat equations, where one boundary control is only applied to the first heat equation and the point output of the heat is flowing into the next one. By three invertible transformations, the heat system is converted into an exponentially stable target system, and we present a boundary feedback control. The numerical simulations are presented to illustrate the effect of the stabilizing controller.
引用
收藏
页码：1027 / 1032
页数：6
相关论文
共 50 条
  • [31] The Direct Feedback Control and Exponential Stabilization of a Coupled Heat PDE-ODE System with Dirichlet Boundary Interconnection
    Zhao, Dong-Xia
    Wang, Jun-Min
    Guo, Ya-Ping
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2019, 17 (01) : 38 - 45
  • [32] 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
  • [33] Stabilization of a Coupled PDE-ODE System by Boundary Control
    Tang, Shuxia
    Xie, Chengkang
    49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 4042 - 4047
  • [34] Sliding Mode Control to Stabilization of an ODE-Schrodinger Cascade Systems Subject to Boundary Control Matched Disturbance
    Liu Jun-Jun
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2018, 31 (05) : 1146 - 1163
  • [35] Observer-Based Cascade Control of the Heat Distribution System
    Nowak, Pawel
    Czeczot, Jacek
    2013 18TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2013, : 633 - 638
  • [36] Prescribed-time stabilization of uncertain heat equation with Dirichlet boundary control
    Wei, Chengzhou
    Li, Junmin
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2023, 40 (03) : 445 - 473
  • [37] Sliding mode control for the stabilization of fractional heat equations subject to boundary uncertainty
    Cai, Rui-Yang
    Cheng, Lan
    Zhou, Hua-Cheng
    CHAOS SOLITONS & FRACTALS, 2024, 181
  • [38] Boundary feedback stabilization of an unstable cascaded heat-heat system with different reaction coefficients
    Tang, Jia-Qi
    Wang, Jun-Min
    Kang, Wen
    SYSTEMS & CONTROL LETTERS, 2024, 183
  • [39] Reachability set of a three-dimensional cascade control system
    Rublev, I. V.
    DIFFERENTIAL EQUATIONS, 2006, 42 (12) : 1745 - 1754
  • [40] Reachability set of a three-dimensional cascade control system
    I. V. Rublev
    Differential Equations, 2006, 42 : 1745 - 1754
12345