基于子空间的多率控制系统闭环辨识

王佳, 王宏伟, 夏浩, 顾宏

王佳, 王宏伟, 夏浩, 顾宏. 基于子空间的多率控制系统闭环辨识[J]. 信息与控制, 2014, 43(5): 583-587,595. DOI: 10.13976/j.cnki.xk.2014.0583
引用本文: 王佳, 王宏伟, 夏浩, 顾宏. 基于子空间的多率控制系统闭环辨识[J]. 信息与控制, 2014, 43(5): 583-587,595. DOI: 10.13976/j.cnki.xk.2014.0583
WANG Jia, WANG Hongwei, XIA Hao, GU Hong. Subspace-based Closed-loop Identification of Multirate Control System[J]. INFORMATION AND CONTROL, 2014, 43(5): 583-587,595. DOI: 10.13976/j.cnki.xk.2014.0583
Citation: WANG Jia, WANG Hongwei, XIA Hao, GU Hong. Subspace-based Closed-loop Identification of Multirate Control System[J]. INFORMATION AND CONTROL, 2014, 43(5): 583-587,595. DOI: 10.13976/j.cnki.xk.2014.0583
王佳, 王宏伟, 夏浩, 顾宏. 基于子空间的多率控制系统闭环辨识[J]. 信息与控制, 2014, 43(5): 583-587,595. CSTR: 32166.14.xk.2014.0583
引用本文: 王佳, 王宏伟, 夏浩, 顾宏. 基于子空间的多率控制系统闭环辨识[J]. 信息与控制, 2014, 43(5): 583-587,595. CSTR: 32166.14.xk.2014.0583
WANG Jia, WANG Hongwei, XIA Hao, GU Hong. Subspace-based Closed-loop Identification of Multirate Control System[J]. INFORMATION AND CONTROL, 2014, 43(5): 583-587,595. CSTR: 32166.14.xk.2014.0583
Citation: WANG Jia, WANG Hongwei, XIA Hao, GU Hong. Subspace-based Closed-loop Identification of Multirate Control System[J]. INFORMATION AND CONTROL, 2014, 43(5): 583-587,595. CSTR: 32166.14.xk.2014.0583

基于子空间的多率控制系统闭环辨识

详细信息
    作者简介:

    王佳(1984-),女,博士,讲师.研究领域为系统辨识,故障检测.
    王宏伟(1969-),男,博士,副教授.研究领域为模式识别,鲁棒控制.
    夏浩(1969-),男,博士,教授.研究领域为复杂系统的控制与检测等.

    通讯作者:

    王佳,jiawang@mail.dlut.edu.cn

  • 中图分类号: TP182

Subspace-based Closed-loop Identification of Multirate Control System

  • 摘要: 针对一类多率控制系统,在控制器信息未知且反馈存在的情形下,采用子空间辨识方法建立闭环系统中被控对象的离散状态空间模型.在模型参数化的过程中,为了避免由于提升技术导致的非因果项列入辨识模型中,通过因果约束分析得到广义因果模型.基于状态辅助变量关系,构造最小二乘问题并利用奇异值分解求解状态序列估计,同时给出了系统矩阵的计算方法.最后,通过数值仿真实验验证了提出方法的有效性.
    Abstract: In accordance with a class of multi-rate control systems, a subspace identification method is used to identify the discrete state-space model of the controlled object in closed-loop systems under feedback while there is no information about the controller. In order to avoid the inclusion of non-causal terms in the identified model, the generalized causal model is obtained through the analysis of causality constraints during the process of model parameterization. Then, based on the relationship of the instrumental variable, the least squares problem is developed and the state sequence estimation is solved by singular values decomposition. Meanwhile, the computation of the system matrices is given. Finally, the numerical simulation illustrates the effectiveness of the proposed method.
  • [1] 肖建. 多采样率数字控制系统[M]. 北京: 科学出版社, 2003. Xiao J. Multirate digital control system[M]. Beijing: Science Press, 2003.
    [2] Zou Y, Chen T, Li S. Network-based predictive control of multirate systems[J]. IET Control Theory & Applications, 2010, 4(7): 1145-1156.
    [3] Nagamune R, Huang X, Horowitz R. Robust control synthesis techniques for multirate and multisensing track-following servo systems in hard disk drives[J]. Journal of Dynamic Systems, Measurement, and Control, 2010, 132(2): 1-10.
    [4] Jiang Y L, Zou Y Y, Niu Y G. Robust explicit solution of multirate predictive control system with external disturbances[J]. Circuits, Systems, and Signal Processing, 2013, 32(5): 25013-25015.
    [5] 吴瑶, 罗雄麟. 化工多采样率数字控制技术研究进展[J]. 化工进展, 2008, 27(9): 1342-1347. Wu Y, Luo X L. Progress of multirate digital control technique in chemical industry[J]. Chemical Industry and Engineering Progress, 2008, 27(9): 1342-1347.
    [6] 倪博溢, 萧德云. 多采样率系统的辨识问题综述[J]. 控制理论与应用, 2009, 27(1): 62-68. Ni B Y, Xiao D Y. A survey on identification of multirate sampled systems[J]. Control Theory & Applications, 2009, 27(1): 62-68.
    [7] Ding F, Chen T W. Modelling and identification of multirate systems[J]. Acta Automatica Sinca, 2005, 31(1): 105-122.
    [8] Wang W, Ding F, Dai J Y. Maximum likelihood least squares identification for systems with autoregressive moving average noise[J]. Applied Mathematical Modelling, 2012, 36(5): 1842-1853.
    [9] Sekhar S C, Sreenivas T V. Auditory motivated level-crossing approach to instantaneous frequency estimation[J]. IEEE Transactions on Signal Processing, 2005, 53(4): 1450-1462.
    [10] Chen D J, Fan J W, Zhang F H. An identification method for spindle rotation error of a diamond turning machine based on the wavelet transform[J]. The International Journal of Advanced Manufacturing Technology, 2012, 63(5/6/7/8): 457-464.
    [11] Han L L, Ding F. Identification for multirate multiinput systems using the multiinnovation identification theory[J]. Computers & Mathematics with Applications, 2009, 57(9): 1438-1449.
    [12] Ding F, Liu G J, Liu X P. Partially coupled stochastic gradient identification methods for nonuniformly sampled systems[J]. IEEE Transactions on Automatic Control, 2010, 55(8): 1976-1981.
    [13] Godbout L, Jordan D, Apostolakis I. Closedloop model for general multirate digital control systems[J]. IEE Proceedings: Control Theory and Applications, 1990, 137(5): 329-336.
    [14] Wang J, Chen T, Huang B. Closedloop identification via output fast sampling[J]. Journal of Process Control, 2004, 14(5): 555-570.
    [15] Sun L, Ohmori H, Sano A. Output intersampling approach to direct closedloop identification[J]. IEEE Transactions on Automatic Control, 2001, 46(12): 1936-1941.
    [16] Hu P P, Ding F. Multistage least squares based iterative estimation for feedback nonlinear systems with moving average noises using the hierarchical identification principle[J]. Nonlinear Dynamics, 2013, 73(1/2): 583-592.
    [17] Bamieh B, Pearson J B, Francis B A, et al. A lifting technique for linear periodic systems with applications to sampleddata control[J]. Systems & Control Letters, 1991, 17(2): 79-88.
    [18] Qin S J, Ljung L. Closedloop subspace identification with innovation estimation[C]//The 13th IFAC Symposium on System Identification. Rotterdam, Netherlands: IFAC, 2003: 888-892.
    [19] Li W, Han Z, Shah S L. Subspace identification for FDI in systems with nonuniformly sampled multirate data[J]. Automatica, 2006, 42(4): 619-627.
    [20] Van Overschee P, De Moor B. Subspace Identification for linear systems: Theory, implementation, applications[M]. Rotterdam, Netherlands: Kluwer Academic Publishers, 1996.
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出版历程
  • 收稿日期:  2013-07-07
  • 发布日期:  2014-10-19

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