一类非线性网络化系统的基于观测器的控制

朱桂芝

一类非线性网络化系统的基于观测器的控制

朱桂芝

北京航空航天大学自动化科学与电气工程学院, 北京 100191

基金项目: 国家自然科学基金项目(60504018);北京航空航天大学蓝天新星资助项目

详细信息

作者简介:
朱桂芝(1983-),女,安徽界首人,硕士生,zhizhi00@163.com.

中图分类号: TP 13
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- 被引次数: 0
出版历程
- 收稿日期: 2008-08-04
- 网络出版日期: 2009-09-30

Observer-based control for a class of nonlinear networked control systems

Zhu Guizhi

School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

摘要

摘要: 在传感器和控制器之间存在数据包丢失的情况下,被控对象的状态不完全能直接测得时,研究了一类被控对象为带有非线性摄动的网络化控制系统.把网络看成开关,网络正常通信时对应的子系统和网络丢包时对应的子系统之间相互切换形成一个切换系统,进而将这类系统建模为一类切换系统模型.基于驻留时间的思想,通过Lyapunov稳定性理论,建立了基于观测器的状态反馈控制器的网络化系统指数稳定性的充分条件,利用线性矩阵不等式(LMI,Linear Matrix Inequality)的可行解给出了观测器和控制器的参数化方法.数值例子验证了所得结果的有效性.
- 观测器 /
- 稳定性 /
- 网络控制系统 /
- 数据包丢失 /
- 切换系统
Abstract: Considering the data packet dropout between sensor and controller, when some states of the object cannot be measured directly, a class of networked control systems (NCSs) with nonlinear perturbing terms in the plant was investigated. There is a network between the sensor and controller. The network was considered as a switch, which happened between sub-system when network communication was connected and sub-system when network communication was interrupted. So the NCS could be modeled as a switched system. Motivated by dwell-time idea, some sufficient conditions of exponential stability of NCS were established by Lyapunov stability theory. Utilizing the solutions of linear matrix inequalities (LMIs), the parameterized expression method of the state observer and controller was given which could ensure the NCS exponential stability. A numerical example was shown to demonstrate the efficiency of the obtained result.
- observability /
- stability /
- networked control systems /
- packet dropouts /
- switched systems

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参考文献(1)

[1] Yu M, Wang L, Chu T, et al. An LMI approach to networked control systems with packet dropout and transmission delays //Proceedings of the IEEE Conference on Decision and Control.Piscataway,NJ:Institute of Electrical and Electronics Engineers Inc,2004,4:3545-3550 [2] Rabello A, Bhaya A. Stability of asynchronous dynamical systems with rate constraints and applications[J].IEE Proc-Control Theory Appl,2003,150(5):546-550 [3] 黄剑,关治洪,王仲东.基于脉冲微分系统模型的有损网络控制系统研究[J].控制理论及应用,2006, 23(1): 69-73 Huang Jian, Guan Zhihong, Wang Zhongdong. Research of networked control systems with data packet dropouts based on model of impulsive systems[J].Control Theory & Applications,2006, 23(1):69-73(in Chinese) [4] 宗群,王鹤.基于观测器的丢包网络控制系统控制器设计[J].系统工程与电子技术,2007,29(2):259-261 Zong Qun, Wang He. Controller design based on observer to data packet dropout in networked control systems[J].Systems Engineering and Electronics,2007,29(2):259-261(in Chinese) [5] Zhang W, Yu L. Output feedback stabilization of networked control systems with packet dropouts[J].IEEE Transactions on Automatic Control,2007,52(9):1705-1710 [6] Ma D, Zhao J. Stabilization of networked control systems via switching controllers an average dwell time approach //Proceedings of the World Congress on Intelligent Control and Automation (WCICA). Piscataway,NJ:Institute of Electrical and Electronics Engineers Inc,2006,1:4619-4622 [7] Liang T, Sun H, Lin T, et al. Stability analysis and state predictor design of the NCS with data packet dropout //Proceedings of the 26th Chinese Control Conference.Piscataway,NJ:Institute of Electrical and Electronics Engineers Computer Society,2007:584-586 [8] 郑大钟.线性系统理论[M].2版.北京:清华大学出版社,2002 Zheng Dazhong. Linear systems theory[M]. 2nd ed. Beijing:Tsinghua University Press,2002(in Chinese) [9] 向伟铭.一类非线性切换系统的分析与控制 .南京:南京理工大学自动化学院,2007 Xiang Weiming. Analysis and control for a class of switched nonlinear systems .Nanjing:School of Automation,Nanjing University of Science & Technology,2007(in Chinese) [10] Hao F, Wang L.An LMI approach to persistent bounded disturbance rejection for a class of nonlinear impulsive systems [J]. Nonlinear Analysis: Hybrid Systems,2007,1(3):297-305

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