基于牵制触发控制动态网络的有限时间镇定

赵玮; 任凤丽

doi:10.21656/1000-0887.450072

基于牵制触发控制动态网络的有限时间镇定

doi: 10.21656/1000-0887.450072

赵玮,
任凤丽^,

南京航空航天大学数学学院，南京 211106

基金项目:

国家自然科学基金(61104031)

详细信息

作者简介:
赵玮(1995—),男,硕士(E-mail: wzhao960@163.com);任凤丽(1978—),女,副教授,博士(通讯作者. E-mail: flren@nuaa.edu.cn).

通讯作者:
任凤丽(1978—),女,副教授,博士(通讯作者. E-mail: flren@nuaa.edu.cn).

中图分类号: O357.41
计量
- 文章访问数: 22
- HTML全文浏览量: 7
- PDF下载量: 3
- 被引次数: 0
出版历程
- 收稿日期: 2024-03-22
- 修回日期: 2024-05-22
- 网络出版日期: 2025-04-02
- 刊出日期: 2025-03-01

Finite Time Stabilization of Dynamical Networks Under Pinning Event-Triggered Control

ZHAO Wei,
REN Fengli^,

School of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, P.R.China

Funds:

The National Science Foundation of China(61104031)

摘要

摘要: 该文研究了基于牵制触发控制动态网络的有限时间镇定.不同于已有结果有限时间事件触发镇定,考虑到控制成本和控制大规模节点数目的困难性,提出了牵制自适应事件触发控制保证动态网络的有限时间镇定.由于动态网络系统存在维数高的问题,分析牵制事件触发有限时间镇定相当困难.通过设计恰当的协议,借助Lyapunov稳定性理论，得到了动态耦合网络有限时间镇定的充分性条件.最后,通过数值仿真验证了定理的有效性.
- 动态耦合网络 /
- 有限时间镇定 /
- 牵制控制 /
- 事件触发机制
Abstract: The finite time stabilization problem of dynamical directed networks under pinning adaptive event-triggered control was addressed. Unlike the existing results as for finite time stabilization with event-triggered protocol, in view of the difficulties of the control cost and the large node number, a novel pinning event-triggered protocol was designed. Given its high dimension, the analysis of the finite time stabilization under the pinning event-triggered control for dynamical networks is challenging. Based on the Lyapunov stability theory and the appropriately designed protocol, sufficient conditions were derived to guarantee the finite time stabilization. Finally, an example was given to demonstrate the effectiveness of the theoretical results.
- dynamical coupled network /
- finite time stabilization /
- pinning control /
- event-triggered scheme

HTML全文

参考文献(34)

CORTES J, BULLO F. Coordination and geometric optimization via distributed dynamical systems[J]. SIAM Journal on Control and Optimization,2005,44(5): 1543-1574.

[2]REN W. Multi-vehicle consensus with a time-varying reference state[J]. Systems & Control Letters,2007,56(7/8): 474-483.

[3]SMITH T R, HANSSMANN H, LEONARD N E. Orientation control of multiple underwater vehicles with symmetry-breaking potentials[C]//Proceedings of the 40th IEEE Conference on Decision and Control.Orlando, FL, USA, 2001: 4598-4603.

[4]BHAT S P, BERNSTEIN D S. Finite-time stability of homogeneous systems[C]//Proceedings of the 1997 American Control Conference. Albuquerque, NM, USA, 1997.

[5]BHAT S P, BERNSTEIN D S. Nontangency-based Lyapunov tests for convergence and stability in systems having a continuum of equilibria[J]. SIAM Journal on Control and Optimization,2003,42(5): 1745-1775.

[6]LU W, LIU X, CHEN T. A note on finite-time and fixed-time stability[J]. Neural Networks,2016,81: 11-15.

[7]ZIMENKO K, EFIMOV D, POLYAKOV A. On condition for output finite-time stability and adaptive finite-time control scheme[C]//2019 IEEE 58th Conference on Decision and Control (CDC). Nice, France, 2019.

[8]HADDAD W M, LEE J. Finite-time stabilization and optimal feedback control for nonlinear discrete-time systems[J]. IEEE Transactions on Automatic Control,2023,68(3): 1685-1691.

[9]赵玮, 任凤丽. 基于自适应控制的四元数时滞神经网络的有限时间同步[J]. 应用数学和力学, 2022,43(1): 94-103. (ZHAO Wei, REN Fengli. Finite time adaptive synchronization of quaternion-value neural networks with time delays[J]. Applied Mathematics and Mechanics,2022,43(1): 94-103. (in Chinese))

[10]HONG Y, WANG J, CHENG D. Adaptive finite-time control of nonlinear systems with parametric uncertainty[J]. IEEE Transactions on Automatic Control,2006,51(5): 858-862.

[11]IERVOLINO R, AMBROSINO R. Finite-time stabilization of state dependent impulsive dynamical linear systems[J]. Nonlinear Analysis: Hybrid Systems,2023,47: 101305.

[12]WU F, LI C, LIAN J. Finite-time stability of switched nonlinear systems with state jumps: a dwell-time method[J]. IEEE Transactions on Systems,Man,and Cybernetics: Systems,2008,52: 6061-6072.

[13]赵玮, 任凤丽. 基于牵制控制的多智能体系统的有限时间与固定时间一致性[J]. 应用数学和力学, 2021,42(3): 299-307. (ZHAO Wei, REN Fengli. Finite-time and fixed-time consensus for multi-agent systems via pinning control[J]. Applied Mathematics and Mechanics,2021,42(3): 299-307. (in Chinese))

[14]LIN X, CHEN C C. Finite-time output feedback stabilization of planar switched systems with/without an output constraint[J]. Automatica,2021,131: 109728.

[15]LI S, DU H, LIN X. Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics[J]. Automatica,2011,47(8): 1706-1712.

[16]CHEN T, LU W, LIU X. Finite time convergence of pinning synchronization with a single nonlinear controller[J]. Neural Networks,2021,143: 246-249.

[17]CHEN G, LEWIS F L, XIE L. Finite-time distributed consensusviabinary control protocols[J]. Automatica,2011,47(9): 1962-1968.

[18]MATUSIK R, NOWAKOWSKI A, PLASKACZ S, et al. Finite-time stability for differential inclusions with applications to neural networks[J]. SIAM Journal on Control and Optimization,2020,58(5): 2854-2870.

[19]CAO Y, REN W, MENG Z. Decentralized finite-time sliding mode estimators and their applications in decentralized finite-time formation tracking[J]. Systems & Control Letters,2010,59(9): 522-529.

[20]HU B, GUAN Z H, FU M. Distributed event-driven control for finite-time consensus[J]. Automatica,2019,103: 88-95.

[21]WU L, LIU K, L J, et al. Finite-time adaptive stability of gene regulatory networks[J]. Neurocomputing,2019,338: 222-232.

[22]HUANG J, WEN C, WANG W, et al. Adaptive finite-time consensus control of a group of uncertain nonlinear mechanical systems[J]. Automatica,2015,51: 292-301.

[23]TABUADA P. Event-triggered real-time scheduling of stabilizing control tasks[J]. IEEE Transactions on Automatic Control,2007,52(9): 1680-1685.

[24]WANG X, LEMMON M D. Event design in event-triggered feedback control systems[C]//2008 47th IEEE Conference on Decision and Control.Cancun, Mexico, 2008: 2105-2110.

[25]DIMAROGONAS D V, FRAZZOLI E, JOHANSSON K H. Distributed event-triggered control for multi-agent systems[J]. IEEE Transactions on Automatic Control,2012,57(5): 1291-1297.

[26]GHODRAT M, MARQUEZ H J. A new Lyapunov-based event-triggered control of linear systems[J]. IEEE Transactions on Automatic Control,2023,68(4): 2599-2606.

[27]LI H, LIAO X, HUANG T, et al. Event-triggering sampling based leader-following consensus in second-order multi-agent systems[J]. IEEE Transactions on Automatic Control,2015,60(7): 1998-2003.

[28]HE W, XU B, HAN Q L, et al. Adaptive consensus control of linear multiagent systems with dynamic event-triggered strategies[J]. IEEE Transactions on Cybernetics,2019,50(7): 2996-3008.

[29]SUN Q, CHEN J, SHI Y. Event-triggered robust MPC of nonlinear cyber-physical systems against DoS attacks[J]. Science China Information Sciences,2021,65(1): 110202.

[30]SHEN J, CAO J. Finite-time synchronization of coupled neural networksviadiscontinuous controllers[J]. Cognitive Neurodynamics,2011,5(4): 373-385.

[31]LU W, CHEN T. New approach to synchronization analysis of linearly coupled ordinary differential systems[J]. Physica D: Nonlinear Phenomena,2006,213(2): 214-230.

[32]HARDY G, LITTLEWOOD J, POLYA G. Inequalities[M]. Cambridge: Cambridge University Press, 1952.

[33]YU W W, CHEN G R, L J H, et al. Synchronization via pinning control on general complex networks[J]. SIAM Journal on Control and Optimization,2013,51(2): 21395-21416.

[34]ZOU F, NOSSEK J A. Bifurcation and chaos in cellular neural networks[J]. IEEE Transactions on Circuits and Systems : Fundamental Theory and Applications,1993,40(3): 166-173.

施引文献

资源附件(0)

访问统计

计量

文章访问数: 22
HTML全文浏览量: 7
PDF下载量: 3
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

基于牵制触发控制动态网络的有限时间镇定

doi: 10.21656/1000-0887.450072

作者简介:
赵玮(1995—),男,硕士(E-mail: wzhao960@163.com);任凤丽(1978—),女,副教授,博士(通讯作者. E-mail: flren@nuaa.edu.cn).

通讯作者:
任凤丽(1978—),女,副教授,博士(通讯作者. E-mail: flren@nuaa.edu.cn).

计量

Finite Time Stabilization of Dynamical Networks Under Pinning Event-Triggered Control

计量

目录

留言板

基于牵制触发控制动态网络的有限时间镇定

doi: 10.21656/1000-0887.450072

作者简介: 赵玮(1995—),男,硕士(E-mail: wzhao960@163.com);任凤丽(1978—),女,副教授,博士(通讯作者. E-mail: flren@nuaa.edu.cn).

通讯作者: 任凤丽(1978—),女,副教授,博士(通讯作者. E-mail: flren@nuaa.edu.cn).

计量

出版历程

Finite Time Stabilization of Dynamical Networks Under Pinning Event-Triggered Control

计量

出版历程

目录

作者简介:
赵玮(1995—),男,硕士(E-mail: wzhao960@163.com);任凤丽(1978—),女,副教授,博士(通讯作者. E-mail: flren@nuaa.edu.cn).

通讯作者:
任凤丽(1978—),女,副教授,博士(通讯作者. E-mail: flren@nuaa.edu.cn).