Please wait a minute...
浙江大学学报(工学版)
J4  2010, Vol. 44 Issue (7): 1418-1422    DOI: 10.3785/j.issn.1008-973X.2010.07.033
自动化技术     
测量值量化的时滞系统的输出反馈控制
王俊宏, 薛安克
杭州电子科技大学 自动化学院,浙江 杭州 310018
Output feedback control for timedelay system with
quantized measurement
WANG Jun-hong, XUE Anke
School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China
 全文: PDF  HTML
摘要：

为了解决无线网络带宽限制的问题,信号在传输之前需要进行量化,但是量化器的引入会给信号带来一定的误差.针对时滞系统,研究测量值量化的基于观测器的输出反馈控制问题.考虑对数量化器,为了研究量化器对系统的影响,引入上行界的方法,将对数量化问题转化成鲁棒不确定问题.为了讨论系统的收敛速度,采用带有衰减系数的Lyapunov函数,得到了闭环系统的指数衰减率.采用线性矩阵不等式(LMI)的方法给出了系统满足指数稳定的充分条件以及控制器和观测器增益的表达式.应用数值仿真证明了本文算法的有效性.
Abstract:

The signal must be quantized before transmission in order to solve the problem of the capacity constraint in network control system, but the quantization will bring error to the signal. The observerbased output feedback control with quantized measurement was conducted aimed at the timedelay system. The logarithmic quantizer was considered. The sector bound method was introduced to analyze the influence of the quantizer on the system. Then the logarithmic quantizer problem was transformed into the robust problem. The Lyapunov function with decay parameter was adopted to analyze the system convergence rate, and the exponential decay rate of closedloop system was obtained. The sufficient condition of exponential stability was given based on the linear matrix inequality (LMI) approach, and the gains of controller and observer were derived. Numerical results illustrated that the approach is effective and feasible.
出版日期: 2010-07-01
:  TP 13  
基金资助:

国家“973”重点基础研究发展规划资助项目（2009CB320602）；浙江省教育厅基金资助项目(Y200805997).
作者简介: 王俊宏(1976—), 男，浙江东阳人，讲师，从事鲁棒控制的研究.E-mail：junhongwang@hdu.edu.cn
服务　　
把本文推荐给朋友
加入引用管理器
E-mail Alert
RSS
作者相关文章　　

引用本文:

王俊宏, 薛安克. 测量值量化的时滞系统的输出反馈控制[J]. J4, 2010, 44(7): 1418-1422.

WANG Dun-Hong, XUE An-Ke. Output feedback control for timedelay system with
quantized measurement. J4, 2010, 44(7): 1418-1422.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2010.07.033    或    http://www.zjujournals.com/eng/CN/Y2010/V44/I7/1418

［1］ KALMAN R E. Nonlinear aspects of sampleddata control systems ［C］∥Proceedings of the Symposium on Nonlinear Circuit Analysis. New York, USA: ［s.n.］, 1956: 273313.
［2］ GRAY R, NEUHOFF D. Quantization ［J］. IEEE Transactions on Information Theory, 1998, 44(6): 23252383.
［3］ WIDROW B, KOLLAR I, LIU M. Statistical theory of quantization ［J］. IEEE Transactions on Automatic Control, 1996, 45(2): 351361.
［4］ MILLER R, MICHEL A, FANEL J. Quantizer effects on steady state error specifications of digital control systems ［J］. IEEE Transactions on Automatic Control, 1989, 34(6): 651654.
［5］ ELIA N, MITTER S. Stabilization of linear systems with limited information ［J］. IEEE Transactions on Automatic Control, 2001, 46(9): 13841400.
［6］ FU M, XIE L. The sector bound approach to quantized feedback control ［J］. IEEE Transactions on Automatic Control, 2005, 50(11): 16981711.
［7］ 陈跃鹏,张庆灵,翟丁.基于观测器的具有反馈增益变化的广义系统H∞控制［J］.自动化学报,2003,30(1): 151154.
CHEN Yuepeng, ZHANG Qingling, ZHAI Ding. H∞ control based on observer with additive feedback gain variations for descriptor systems ［J］. Acta Automatica Sinica， 2003, 30(1): 151154.
［8］ 刘丽华,李晓辉,刘志东.基于降维观测器状态反馈系统的鲁棒容错控制［J］.北京机械工业学院学报,2004,19(1): 711.
LIU Lihua, LI Xiaohui, LlU Zhidong. Robust faulttolerant control for state feedback systems based on a reduced order observer ［J］. Journal of Beijing Institute of Machinery, 2004, 19(1): 711.
［9］ GAO H, ZHU S, CHEN Z, et al. Delaydependent state feedback guaranteed cost control uncertain singular timedelay systems ［C］∥Conference of Decision Control and European Control. Seville, Spain: ［s.n.］, 2005: 43544359.
［10］ 周武能,苏宏业,褚健.不确定时滞系统XXX鲁棒输出反馈控制［J］.浙江大学学报：工学版,2005,39(9): 13291333.
ZHOU Wuneng, SHU Hongye, CHU Jian. XXXrobust output control for uncertain timedelay system ［J］. Journal of Zhejiang University: Engineering Science, 2005, 39(9): 13291333.
［11］ WANG H, XUE A, LU R, et al. Delaydependent robust stability stabilization for uncertain singular systems with timevarying delay ［C］∥American Control Conference. Seattle, Washington, USA: ［s.n.］, 2008: 28392844.
［12］ LU R, DAI X, SU H, et al. Delaydependent robust stability and stabilization conditions for a class of lur’e singualr timedelay system ［J］. Asian Journal of Control, 2008, 10(4): 462469.
［13］ 李春涛,谭永红.基于状态观测器的迟滞非线性系统输出反馈控制［J］.控制与决策,2004,19(9): 967972.
LI Chuntao, TAN Yonghong. Observerbased adaptive output feedback control of systems preceded by unknown hysteresis ［J］. Control and Decision, 2004, 19(9): 967972.
［14］ 姚秀明,赵富,王常虹.一类离散Markov跳跃系统基于状态观测器的鲁棒H∞控制［J］.吉林大学学报：工学版,2010, 40(1): 136142.
YAO Xiuming, ZHAO Fu, WANG Changhong. Robust observerbased H∞ control for a class of discretetime Markov jump systems ［J］. Journal of Jilin University: Engineering and Technology Edition, 2010, 40(1): 136142.
［15］ 刘松晖,吴俊,徐巍华,等.一种输出反馈网络化控制系统及其稳定性［J］.浙江大学学报：工学版,2008,42(3): 379381.
LIU Songhui,WU Jun,XU Weihua,et al. An outputfeedback networked control system and its stability ［J］. Journal of Zhejiang University: Engineering Science, 2008, 42(3): 379381.
［16］ TATIKONDA S, MITTER S. Control over noisy channels ［J］. IEEE Transactions on Automatic Control, 2004, 49(7): 11961201.
［17］ XIE L. Output feedback H∞ control of systems with parameter uncertainty ［J］. International Journal of Control, 1996, 63(4): 741750.
[1] 娄柯, 齐斌, 穆文英, 崔宝同. 基于反馈控制策略的多智能体蜂拥控制[J]. J4, 2013, 47(10): 1758-1763.
[2] 李丽娟, 熊路, 刘君, 徐欧官. 基于AP-LSSVM的多模型预测控制[J]. J4, 2013, 47(10): 1741-1746.
[3] 毛维杰,张媛媛. 具有区间时变时滞的中立型系统稳定性分析[J]. J4, 2012, 46(5): 848-852.
[4] 倪何, 肖航, 程刚, 孙丰瑞. 基于混沌演化的蒸汽动力装置负荷控制优化[J]. J4, 2011, 45(12): 2202-2207.
[5] 王丽娟, 章辉. 通讯访问约束下的线性系统参数可辨识性[J]. J4, 2011, 45(12): 2103-2108.
[6] 赵黎丽, 李平, 李修亮. 带遗忘因子的线性系统自适应观测器设计[J]. J4, 2011, 45(10): 1704-1709.
[7] 潘海鹏, 吕勇松. 时滞系统的模糊神经网络补偿控制[J]. J4, 2010, 44(7): 1343-1347.
[8] 邹洪波, 房善华, 鲁仁全, 薛安克. 基于2级控制系统的量化状态观测器设计[J]. J4, 2010, 44(7): 1428-1432.
[9] 谢斌, 张开石, 潘华东, 等. 未知环境中无人机适航地图构建与地面目标跟踪[J]. J4, 2010, 44(1): 118-123.