数据包丢失的不确定奇摄动网络化容错控制

王岩岩; 刘伟; 孔令志

数据包丢失的不确定奇摄动网络化容错控制

1.
周口师范学院~~数学系, 河南~~周口 466001;
2.
上海交通大学~~自动化系, 上海 200240;
3.
华东师范大学出版社, 上海 200062

详细信息

中图分类号: TP13
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- 文章访问数: 2105
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- 被引次数: 0
出版历程
- 收稿日期: 2011-06-01
- 修回日期: 2011-09-01
- 刊出日期: 2012-09-25

Networked fault tolerant control of the uncertain singularly perturbed system with packet dropout

1.
Department of Mathematics, Zhoukou Normal University, Zhoukou Henan 466001, China;
2.
Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, China;
3.
East China Normal University Press, Shanghai 200062, China

摘要

摘要: 根据奇摄动网络丢包的特点, 在执行器发生故障的情况下, 将奇摄动网络化系统转换为奇摄动不确定切换系统. 利用矩阵不等式技巧, 巧妙地克服了由于小参数引起边界层动态行为对奇摄动不确定切换系统所带来的困难. 同时研究该奇摄动切换系统在一定数据包丢失率影响下的反馈控制, 并给出了控制器的设计方法和系统镇定的充分条件. 最后, 通过数值仿真例子验证了本方法的有效性.
- 奇摄动 /
- 网络化控制 /
- 切换系统 /
- 可靠控制 /
- 容错控制
Abstract: Considering the networked packet dropout of a singularly perturbed system under actuator failure, the original system was transformed to a singularly perturbed uncertain switched system. Then, the difficulty arising in the boundary dynamic behavior caused by a small parameter was overcome by using the matrix inequality technique. Meanwhile, the feedback stabilization of the singularly perturbed uncertain switched system was studied under some certain data dropout rate. Further, the design method of a controller and the sufficient condition of stabilization of the system were presented. Finally, a numerical example was given to illustrate the effectiveness of the proposed method.
- singular perturbation /
- networked control /
- switched systems /
- reliability control /
- fault tolerant control

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参考文献(1)

[1]

{1} HESPANHA J P, NAGHSHTABRIZI P, XU Y.

A survey of recent results in networked control systems [J].

Proceedings of the IEEE, 2007, 95(1): 138-162.
{2} BAILLIFUL J, ANTSAKLIS P J. Control and communication

challenges in networked real-time systems [J]. Proceedings of the

IEEE, 2007, 95(1): 9-27.
{3} WANG G X, WANG Z M, NAIDU D S. On model-based networked

control of singularly perturbed systems [C]// Proceedings of the

27th Chinese Control Conference, Kunming, 2008: 16--18.
{4} WANG Z M, LIU W, DAI H H, et al. Robust stabilization

of model-based uncertain singularly perturbed systems with networked

time-delay [C]// Proceedings of the 48th IEEE Conference on Decision

and Control, Shanghai, 2009: 7917-7922.
{5} ZHANG W N, YU L. Output feedback stabilization of

networked control systems with packet dropouts [J]. IEEE

Transactions on Automatic Control, 2007, 52(9): 1705-1710.
{6} JING W, CHEN T W. Design of networked control systems

with packet dropouts [J]. IEEE Transactions on Automatic Control,

2007, 52(7): 1314-1319.
{7} XIONG J, LAM L. Stabilization of linear systems over

networks with bounded packet loss [J]. Automatica, 2007, 43(1):

80-87.
{8} SHAO Z H, SAWAN M E. Robust stability of singularly

perturbed systems [J]. International Journal of Control, 1993,

58(6): 1469-1476.
{9} SHI P, SHUE S P, AGRAWAL R K. Robust disturbance

attenuation with stability for a class of uncertain singularly

perturbed systems [J]. International Journal of Control, 1998,

70(6): 873-891.
{10} ESFANDIARI F, Khalil H K. On the robustness of

sampled-data control to unmodeled high-frequency dynamics [J], IEEE

Transactions on Automatic Control, 1989, 34(8): 900-903.
{11} GOH K C, TURAN L, SAFONOV M G, et a1. Biaffine

matrix inequality properties and computational methods [C] //

Proceedings of American control Conference, Baltimore, 2009:

850-855.
{12} 梅平, 蔡晨晓, 邹云, 时滞奇异摄动系统的鲁棒控制 [J].

控制理论与应用, 2008, 25(5): 973-975.
{13} CHRISTOFIDES P D, DAOUTIDIS P. Robust control of multivariables

two-time-scale nonlinear systems [J]. Journal of Process Control,

1997, 7(5): 313-328.
{14} CHRISTOFIDES P D. Robust output feedback control of

nonlinear singularly perturbed systems [J]. Automatica, 2000, 36(1):

45-52.
{15} Siljak D D. Reliable control using multiple control

systems [J]. International Journal of Control, 1980, 31(2): 303-329.
{16} 俞立. 鲁棒控制: 线性矩阵不等式处理方法 [M].

北京: 清华大学出版社, 2002.

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