Synchronization of the Coupled Distributed Parameter System with Time Delay via Proportional-Spatial Derivative Control

被引：5
|
作者：
Yuan, Kun [1 ,2 ]
Alofi, Abdulaziz [3 ]
Cao, Jinde [1 ,2 ,3 ]
Al-Mazrooei, Abdullah [3 ]
Elaiw, Ahmed [3 ]
机构：
[1] Southeast Univ, Minist Educ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China
[2] Southeast Univ, Minist Educ, Key Lab Measurement & Control Complex Syst Engn, Nanjing 210096, Jiangsu, Peoples R China
[3] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2014年 / 2014卷
关键词：
FINITE-DIMENSIONAL APPROXIMATION; FEEDBACK-CONTROL; CONTROL DESIGN; PDE SYSTEMS; OSCILLATORS; MODEL;
D O I：
10.1155/2014/418258
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By combining parabolic partial differential equation (PDE) theory with Lyapunov technique, the synchronization is studied for a class of coupled distributed parameter systems (DPS) described by PDEs. First, based on Kronecker product and Lyapunov functional, some easy-to-test sufficient condition is given to ensure the synchronization of coupled DPS with time delay. Secondly, in the case that the whole coupled system cannot synchronize by itself, the proportional-spatial derivative (P-sD) state feedback controller is designed and applied to force the network to synchronize. The sufficient condition on the existence of synchronization controller is given in terms of a set of linear matrix inequalities. Finally, the effectiveness of the proposed control design methodology is demonstrated in numerical simulations.
引用
收藏
页数：7
相关论文
共 50 条
  • [41] FEEDBACK CONTROL FOR PARABOLIC DISTRIBUTED PARAMETER SYSTEMS WITH TIME-DELAY
    Xing, Hailong
    Li, Donghai
    Zhong, Xiaozhu
    [J]. INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2009, 5 (05): : 1359 - 1365
  • [42] Synchronization in arrays of delay-coupled neural networks via adaptive control
    Lu, Jianquan
    Ho, Daniel W. C.
    Cao, Jinde
    [J]. 2007 IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1-7, 2007, : 2930 - +
  • [43] Leader-following synchronization of coupled time-delay neural networks via delayed impulsive control
    Li, Mingyue
    Li, Xiaodi
    Han, Xiuping
    Qiu, Jianlong
    [J]. NEUROCOMPUTING, 2019, 357 : 101 - 107
  • [44] Nonlinear dynamics of the complex periodic coupled system via a proportional generalized fractional derivative
    Redhwan, Saleh S.
    Almalahi, Mohammed A.
    Ali, Ali Hasan
    Alyami, Maryam Ahmed
    Alsulami, Mona
    Alghamdi, Najla
    [J]. Physica Scripta, 2024, 99 (12)
  • [45] Predefined-time synchronization for uncertain hyperchaotic system with time-delay via sliding mode control
    Zheng, Wei
    Qu, Shaocheng
    Tang, Qian
    [J]. NONLINEAR DYNAMICS, 2024, : 21969 - 21987
  • [46] A Time Delay System Approach to Synchronization Control of Bilateral Teleoperators
    Chen, Xianzuo
    He, Shengquan
    [J]. 2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2017, : 2563 - 2568
  • [47] Impulsive Control and Synchronization of Time-delay Chaotic System
    Yan, Yan
    Gui, Zhanji
    Wang, Kaihua
    [J]. PROCEEDINGS OF THE 2016 2ND INTERNATIONAL CONFERENCE ON ADVANCES IN ENERGY, ENVIRONMENT AND CHEMICAL ENGINEERING (AEECE 2016), 2016, 89 : 353 - 358
  • [48] Distributed motor control system with transmission time delay
    Nagano, Tomoaki
    Gouko, Manabu
    Ito, Koji
    [J]. 2008 3RD INTERNATIONAL SYMPOSIUM ON COMMUNICATIONS, CONTROL AND SIGNAL PROCESSING, VOLS 1-3, 2008, : 1236 - 1241
  • [49] Quasi-synchronization of heterogeneous neural networks with distributed and proportional delays via impulsive control
    Zhu, Ruiyuan
    Guo, Yingxin
    Wang, Fei
    [J]. CHAOS SOLITONS & FRACTALS, 2020, 141
  • [50] Synchronization Problem of A Coupled Dynamo System Via Active Control
    Jian, Jigui
    Yu, Hui
    Shen, Yanjun
    [J]. PROGRESS IN INTELLIGENCE COMPUTATION AND APPLICATIONS, 2008, : 345 - 349
12345