2.765

2022影响因子

(CJCR)

  • 中文核心
  • EI
  • 中国科技核心
  • Scopus
  • CSCD
  • 英国科学文摘

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

离散切换系统观测器存在性讨论及降维观测器设计

朱芳来 蔡明 郭胜辉

朱芳来, 蔡明, 郭胜辉. 离散切换系统观测器存在性讨论及降维观测器设计. 自动化学报, 2017, 43(12): 2091-2099. doi: 10.16383/j.aas.2017.c160471
引用本文: 朱芳来, 蔡明, 郭胜辉. 离散切换系统观测器存在性讨论及降维观测器设计. 自动化学报, 2017, 43(12): 2091-2099. doi: 10.16383/j.aas.2017.c160471
ZHU Fang-Lai, CAI Ming, GUO Sheng-Hui. Discussions on Existence of Observers and Reduced-order Observer Design for Discrete-time Switched Systems. ACTA AUTOMATICA SINICA, 2017, 43(12): 2091-2099. doi: 10.16383/j.aas.2017.c160471
Citation: ZHU Fang-Lai, CAI Ming, GUO Sheng-Hui. Discussions on Existence of Observers and Reduced-order Observer Design for Discrete-time Switched Systems. ACTA AUTOMATICA SINICA, 2017, 43(12): 2091-2099. doi: 10.16383/j.aas.2017.c160471

离散切换系统观测器存在性讨论及降维观测器设计

doi: 10.16383/j.aas.2017.c160471
基金项目: 

国家自然科学基金 61573256

上海市科委"创新行动计划"项目 16111106502

详细信息
    作者简介:

    蔡明     同济大学控制理论与控制工程专业硕士研究生.主要研究方向为基于模型的故障检测与隔离.E-mail:basycai@163.com

    郭胜辉    苏州科技大学电子与信息工程学院讲师, 博士.主要研究方向为基于模型的故障检测及观测器设计.E-mail:12gsh@tongji.edu.cn

    通讯作者:

    朱芳来    同济大学电子与信息工程学院教授.主要研究方向为非线性系统鲁棒控制, 观测器设计, 基于模型的故障检测与隔离.本文通信作者.E-mail:zhufanglai@tongji.edu.cn

Discussions on Existence of Observers and Reduced-order Observer Design for Discrete-time Switched Systems

Funds: 

National Natural Science Foundation of China 61573256

Shanghai Science and Technology Innovation Fund 16111106502

More Information
    Author Bio:

        Master sutdent at the College of Electronics and Information Engineering, Tongji University. His research interest covers model-based fault detection and isolation

        Ph.D, lecturer at the College of Electronics and Information Engineering, Suzhou University of Science and Technology. His research interest covers model-based fault detection and observer design

    Corresponding author: ZHU Fang-Lai     Professor at the College of Electronics and Information Engineering, Tongji University. His research interest covers nonlinear robust control, model-based fault detection and isolation. Corresponding author of this paper
  • 摘要: 对具有未知输入的离散切换系统讨论了未知输入观测器(Unknown input observer,UIO)设计方法.首先,对一般离散系统的未知输入观测器匹配条件的Lyapunov-type表示,进行了等价性论证;然后,基于不具有未知输入的离散切换系统的稳定性理论,对具有未知输入的离散切换系统提出了一种切换降维观测器设计方法.通过矩阵分块确定出的观测器增益矩阵,使得降维观测器能直接消去未知输入的影响;然后,在此基础上提出了一种未知输入代数重构方法;最后,通过仿真验证了方法的有效性和正确性.
    1)  本文责任编委 孙希明
  • 图  1  切换序列

    Fig.  1  Switched sequence

    图  2  系统状态估计和未知输入重构

    Fig.  2  stimated states and unknown input reconstruction

  • [1] Wang S H, Wang E, Dorato P. Observing the states of systems with unmeasurable disturbance. IEEE Transactions on Automatic Control, 1975, 20(5):716-717 http://ieeexplore.ieee.org/document/1101076/
    [2] Bhattacharyya S. Observer design for linear systems with unknown inputs. IEEE Transactions on Automatic Control, 1978, 23(3):483-484 doi: 10.1109/TAC.1978.1101758
    [3] Corless M, Tu J. State and input estimation for a class of uncertain systems. Automatica, 1998, 34(6):757-764 doi: 10.1016/S0005-1098(98)00013-2
    [4] Charandabi B A, Marquez H J. A novel approach to unknown input filter design for discrete-time linear systems. Automatica, 2014, 50(11):2835-2839 doi: 10.1016/j.automatica.2014.07.015
    [5] 杨俊起, 陈滟涛, 朱芳来, 卜旭辉.不确定切换线性系统状态和未知输入估计方法. 控制与决策, 2015, 30(12):2247-2252 doi: 10.13195/j.kzyjc.2014.1561.html

    Yang Jun-Qi, Chen Yan-Tao, Zhu Fang-Lai, Bu Xu-Hui. State and unknown input estimations for uncertain switched linear systems. Control and Decision, 2015, 30(12):2247-2252 doi: 10.13195/j.kzyjc.2014.1561.html
    [6] Guo S H, Zhu F L, Xu L Y. Unknown input observer design for Takagi-Sugeno fuzzy stochastic system. International Journal of Control, Automation and Systems, 2015, 13(4):1003-1009 doi: 10.1007/s12555-014-0190-5
    [7] Yang J Q, Zhu F L, Yu K J, Bu X H. Observer-based state estimation and unknown input reconstruction for nonlinear complex dynamical systems. Communications in Nonlinear Science and Numerical Simulation, 2015, 20(3):927-939 doi: 10.1016/j.cnsns.2014.05.016
    [8] Chadli M, Karimi H R. Robust observer design for unknown inputs Takagi-Sugeno models. IEEE Transactions on Fuzzy Systems, 2013, 21(1):158-164 doi: 10.1109/TFUZZ.2012.2197215
    [9] Lee D J, Park Y, Park Y S. Robust H sliding mode descriptor observer for fault and output disturbance estimation of uncertain systems. IEEE Transactions on Automatic Control, 2012, 57(11):2928-2934 doi: 10.1109/TAC.2012.2195930
    [10] Gupta M K, Tomar N K, Bhaumik S. Full-and reduced-order observer design for rectangular descriptor systems with unknown inputs. Journal of the Franklin Institute, 2015, 352(3):1250-1264 doi: 10.1016/j.jfranklin.2015.01.003
    [11] Kalsi K, Lian J M, Hui S, Żak S H. Sliding-mode observers for systems with unknown inputs:a high-gain approach. Automaitca, 2010, 46(2):347-353 doi: 10.1016/j.automatica.2009.10.040
    [12] Floquet T, Edwards C, Spurgeon S K. On sliding mode observers for systems with unknown inputs. International Journal of Adaptive Control and Signal Processing, 2007, 21(8-9):638-656 doi: 10.1002/(ISSN)1099-1115
    [13] Zhu F L. State estimation and unknown input reconstruction via both reduced-order and high-order sliding mode observers. Journal of Process Control, 2012, 22(1):296-302 doi: 10.1016/j.jprocont.2011.07.007
    [14] Park T G. Designing fault detection observers for linear systems with mismatched unknown inputs. Journal of Process Control, 2013, 23(8):1185-1196 doi: 10.1016/j.jprocont.2013.06.009
    [15] Floquet T, Barbot J P. State and unknown input estimation for linear discrete-time systems. Automatica, 2006, 42(11):1883-1889 doi: 10.1016/j.automatica.2006.05.030
    [16] Guo S H, Zhu F L. Reduced-Order observer design for discrete-time descriptor systems with unknown inputs:an linear matrix inequality approach. Journal of Dynamic Systems, Measurement, and Control, 2015, 137(8):Article No. 084503
    [17] Zhang L. and Shi P. l2-l model reduction for switched LPV systems with average dwell time. IEEE Transactions on Automatic Control, 2008, 53(10):2443-2448 doi: 10.1109/TAC.2008.2007860
    [18] Zhang L X, Shi P. Stability, l2-gain and asynchronous H control of discrete-time switched systems with average dwell time. IEEE Transactions on Automatic Control, 2009, 54(9):2192-2199 doi: 10.1109/TAC.2009.2026841
    [19] Lin H, Antsaklis P J. Stability and stabilizability of switched linear systems:a survey of recent results. IEEE Transactions on Automatic Control, 2009, 54(2):308-322 doi: 10.1109/TAC.2008.2012009
    [20] Zhang L X, Cui N G, Liu M, Zhao Y. Asynchronous filtering of discrete-time switched linear systems with average dwell time. IEEE Transactions on Circuits and Systems I:Regular Papers, 2011, 58(5):1109-1118 doi: 10.1109/TCSI.2010.2092151
    [21] Zhao X D, Liu H, Zhang J F, Li H Y. Multiple-mode observer design for a class of switched linear systems. IEEE Transactions on Automation Science and Engineering, 2015, 12(1):272-280 doi: 10.1109/TASE.2013.2281466
    [22] Koenig D, Marx B, Jacquet D. Unknown input observers for switched nonlinear discrete time descriptor systems. IEEE Transactions on Automatic Control, 2008, 53(1):373-379 doi: 10.1109/TAC.2007.914226
    [23] Bejarano F J, Pisano A. Switched observers for switched linear systems with unknown inputs. IEEE Transactions on Automatic Control, 2011, 56(3):681-686 doi: 10.1109/TAC.2010.2095990
    [24] 王兴平.时变线性切换系统的指数镇定.自动化学报, 2016, 42(9):1440-1444 http://www.aas.net.cn/CN/abstract/abstract18932.shtml

    Wang Xing-Ping. Exponential stabilization of switched time-varying linear systems. Acta Automatica Sinica, 2016, 42(9):1440-1444 http://www.aas.net.cn/CN/abstract/abstract18932.shtml
    [25] 王兴平, 宋艳荣, 程兆林.切换网络下时变线性多智能体系统的指数同步.自动化学报, 2015, 41(8):1528-1532 http://www.aas.net.cn/CN/abstract/abstract18726.shtml

    Wang Xing-Ping, Song Yan-Rong, Cheng Zhao-Lin. Exponential synchronization of time-varying linear multi-agent systems with switching topology. Acta Automatica Sinica, 2015, 41(8):1528-1532 http://www.aas.net.cn/CN/abstract/abstract18726.shtml
  • 加载中
图(2)
计量
  • 文章访问数:  1757
  • HTML全文浏览量:  227
  • PDF下载量:  716
  • 被引次数: 0
出版历程
  • 收稿日期:  2016-06-16
  • 录用日期:  2016-11-23
  • 刊出日期:  2017-12-20

目录

    /

    返回文章
    返回