Search

Article

x

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

Iterative learning control for discrete time-varying switched systems

Cao Wei Sun Ming

Citation:

Iterative learning control for discrete time-varying switched systems

Cao Wei, Sun Ming
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

  • Aiming at the problem of trajectory tracking in a class of discrete time-varying switched system with arbitrary sequence, in this paper we propose a discrete iterative learning control algorithm. Under the precondition that the switched sequence does not change along the iterative axis but it does along the time axis, this algorithm divides the whole finite time region into several finite subintervals, and uses -norm to prove the convergence strictly, and provides the sufficient convergent condition of the algorithm in the norm form. This method not only realizes the complete tracking for a discrete time-varying switched system within a limited time, but also has a simple structure easy to be realized in engineering. Simulation results verify the validity of the method.
    • Funds: Project supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 61100103).
    [1]

    Liberzon D, Morse A S 1999 IEEE Control Syst. Magazine 19 59

    [2]

    Lin H, Antsaklis P J 2009 IEEE Trans. Autom. Control 54 308

    [3]

    Balluchi A, Dibenedett M D, Pinello C 1999 Automatica 35 519

    [4]

    Ooba T, Funahashi Y 2003 IEEE Trans. Autom. Control 42 1697

    [5]

    Gao C, Bi Q S, Zhang Z D 2013 Acta Phys. Sin. 62 020504 (in Chinese) [高超, 毕勤胜, 张正娣 2013 物理学报 62 020504]

    [6]

    Wu L F, Guan Y, Liu Y 2013 Acta Phys. Sin. 62 110510 (in Chinese) [吴立峰, 关永, 刘勇 2013 物理学报 62 110510]

    [7]

    Ma X D, Bi Q S 2013 Acta Phys. Sin. 61 240506 (in Chinese) [马新东, 毕勤胜 2013 物理学报 61 240506]

    [8]

    Jia X C, Zheng L H, Chi X B 2009 Acta Autom. Sin. 35 1476 (in Chinese) [贾新春, 郑利红, 池小波 2009 自动化学报 35 1476]

    [9]

    Cheng D, Guo L, Lin Y 2005 IEEE Trans. Autom. Control 50 661

    [10]

    Lin H, Antsaklis P 2008 IEEE Trans. Autom. Control 53 1

    [11]

    Gao Z R, Shen Y X, Ji Z C 2012 Acta Phys. Sin. 61 120203 (in Chinese) [高在瑞, 沈艳霞, 纪志成 2012 物理学报 61 120203]

    [12]

    Fang Z M, Xiang Z R, Chen Q W 2011 Control and Decision 26 1327 (in Chinese) [方志明, 向峥嵘, 陈庆伟 2011 控制与决策 26 1327]

    [13]

    Xiao H M, Zhao L, Wang C H 2011 Control Theory & Applications 28 1621 (in Chinese) [肖会敏, 赵林, 王春花 2011 控制理论与应用 28 1621]

    [14]

    Sharma R, Tewari A 2004 IEEE Trans. Control Syst. Technol. 12 677

    [15]

    No T S, Min B M, Stone R H 2005 Control Engineer. Pract. 13 601

    [16]

    Li L L, Shao C 2012 Control and Decision 27 304 (in Chinese) [李莉莉, 邵诚 2012 控制与决策 27 304]

    [17]

    Bu X H, Hou Z S, Yu F S 2012 Control Theory & Applications 29 1051 (in Chinese) [卜旭辉, 侯忠生, 余发山 2012 控制理论与应用 29 1051]

    [18]

    Arimoto S, Kawamura S, Miyazaki F 1984 J. Robo. Syst. 1 123

    [19]

    Cao W, Cong W, Li J 2012 Control and Decision 27 473 (in Chinese) [曹伟, 丛望, 李金 2012 控制与决策 27 473]

    [20]

    Chris T F, Cai Z L, Eric R, et al 2011 IEEE Trans. Control Syst. Technol. 19 590

    [21]

    Tian S P, Wu X S 2012 Control Theory & Applications 29 1082 (in Chinese) [田森平, 吴忻生 2012 控制理论与应用 29 1082]

    [22]

    Li Y, Chen Y Q, Ahn H S 2012 Control Theory & Applications 29 1031 (in Chinese) [李岩, 陈阳泉, 安孝晟 2012 控制理论与应用 29 1031]

    [23]

    Hou Z S, Xu J X, Yan J W 2008 Transport. Res. C 16 71

    [24]

    Gao F R, Yang Y, Shao C 2002 Chem. Engineer. Sci. 56 7025

    [25]

    Wang J, Hui G T, Xie X P 2013 Chin. Phys. B 22 030206

    [26]

    Wang J W, Zeng C B 2012 Chin. Phys. B 21 110206

    [27]

    Yin S, Luo H, Ding S 2013 IEEE Trans. Industrial Electron. 10.1109/TIE.2013.2273477

    [28]

    Yin S, Ding S X, Haghani A 2012 J. Process Control 22 1567

  • [1]

    Liberzon D, Morse A S 1999 IEEE Control Syst. Magazine 19 59

    [2]

    Lin H, Antsaklis P J 2009 IEEE Trans. Autom. Control 54 308

    [3]

    Balluchi A, Dibenedett M D, Pinello C 1999 Automatica 35 519

    [4]

    Ooba T, Funahashi Y 2003 IEEE Trans. Autom. Control 42 1697

    [5]

    Gao C, Bi Q S, Zhang Z D 2013 Acta Phys. Sin. 62 020504 (in Chinese) [高超, 毕勤胜, 张正娣 2013 物理学报 62 020504]

    [6]

    Wu L F, Guan Y, Liu Y 2013 Acta Phys. Sin. 62 110510 (in Chinese) [吴立峰, 关永, 刘勇 2013 物理学报 62 110510]

    [7]

    Ma X D, Bi Q S 2013 Acta Phys. Sin. 61 240506 (in Chinese) [马新东, 毕勤胜 2013 物理学报 61 240506]

    [8]

    Jia X C, Zheng L H, Chi X B 2009 Acta Autom. Sin. 35 1476 (in Chinese) [贾新春, 郑利红, 池小波 2009 自动化学报 35 1476]

    [9]

    Cheng D, Guo L, Lin Y 2005 IEEE Trans. Autom. Control 50 661

    [10]

    Lin H, Antsaklis P 2008 IEEE Trans. Autom. Control 53 1

    [11]

    Gao Z R, Shen Y X, Ji Z C 2012 Acta Phys. Sin. 61 120203 (in Chinese) [高在瑞, 沈艳霞, 纪志成 2012 物理学报 61 120203]

    [12]

    Fang Z M, Xiang Z R, Chen Q W 2011 Control and Decision 26 1327 (in Chinese) [方志明, 向峥嵘, 陈庆伟 2011 控制与决策 26 1327]

    [13]

    Xiao H M, Zhao L, Wang C H 2011 Control Theory & Applications 28 1621 (in Chinese) [肖会敏, 赵林, 王春花 2011 控制理论与应用 28 1621]

    [14]

    Sharma R, Tewari A 2004 IEEE Trans. Control Syst. Technol. 12 677

    [15]

    No T S, Min B M, Stone R H 2005 Control Engineer. Pract. 13 601

    [16]

    Li L L, Shao C 2012 Control and Decision 27 304 (in Chinese) [李莉莉, 邵诚 2012 控制与决策 27 304]

    [17]

    Bu X H, Hou Z S, Yu F S 2012 Control Theory & Applications 29 1051 (in Chinese) [卜旭辉, 侯忠生, 余发山 2012 控制理论与应用 29 1051]

    [18]

    Arimoto S, Kawamura S, Miyazaki F 1984 J. Robo. Syst. 1 123

    [19]

    Cao W, Cong W, Li J 2012 Control and Decision 27 473 (in Chinese) [曹伟, 丛望, 李金 2012 控制与决策 27 473]

    [20]

    Chris T F, Cai Z L, Eric R, et al 2011 IEEE Trans. Control Syst. Technol. 19 590

    [21]

    Tian S P, Wu X S 2012 Control Theory & Applications 29 1082 (in Chinese) [田森平, 吴忻生 2012 控制理论与应用 29 1082]

    [22]

    Li Y, Chen Y Q, Ahn H S 2012 Control Theory & Applications 29 1031 (in Chinese) [李岩, 陈阳泉, 安孝晟 2012 控制理论与应用 29 1031]

    [23]

    Hou Z S, Xu J X, Yan J W 2008 Transport. Res. C 16 71

    [24]

    Gao F R, Yang Y, Shao C 2002 Chem. Engineer. Sci. 56 7025

    [25]

    Wang J, Hui G T, Xie X P 2013 Chin. Phys. B 22 030206

    [26]

    Wang J W, Zeng C B 2012 Chin. Phys. B 21 110206

    [27]

    Yin S, Luo H, Ding S 2013 IEEE Trans. Industrial Electron. 10.1109/TIE.2013.2273477

    [28]

    Yin S, Ding S X, Haghani A 2012 J. Process Control 22 1567

  • [1] Zeng Jian-Jian, Bao Li-Juan. Stabilizing multi-rotation periodic trajectories by the time-varying switching extended time-delay feedback control. Acta Physica Sinica, 2023, 72(8): 080502. doi: 10.7498/aps.72.20222294
    [2] Cao Wei, Guo Yuan, Sun Ming. Iterative learning control of a class of discrete-time singular system. Acta Physica Sinica, 2016, 65(12): 120201. doi: 10.7498/aps.65.120201
    [3] Wang Yue-E, Wu Bao-Wei, Wang Rui. Asynchronous stabilization of switched systems: Adjacent mode-dependent average dwell time. Acta Physica Sinica, 2015, 64(5): 050201. doi: 10.7498/aps.64.050201
    [4] Zhang Yao-Li, Wu Bao-Wei, Wang Yue-E, Han Xiao-Xia. Finite-time stability for switched singular systems. Acta Physica Sinica, 2014, 63(17): 170205. doi: 10.7498/aps.63.170205
    [5] Li Qing-Du, Guo Jian-Li. Algorithm for calculating the Lyapunov exponents of switching system and its application. Acta Physica Sinica, 2014, 63(10): 100501. doi: 10.7498/aps.63.100501
    [6] Cao Wei, Guo Yuan, Sun Ming. Fault estimation for discrete switched system based on iterative learning. Acta Physica Sinica, 2014, 63(18): 180202. doi: 10.7498/aps.63.180202
    [7] Zhang Xiao-Fang, Zhou Jian-Bo, Zhang Chun, Bi Qin-Sheng. Analysis of dynamical behaviors in a nonlinear switching circuit system. Acta Physica Sinica, 2013, 62(24): 240505. doi: 10.7498/aps.62.240505
    [8] Wu Li-Feng, Guan Yong, Liu Yong. Complicated behaviors and non-smooth bifurcation of a switching system with piecewise linearchaotic circuit. Acta Physica Sinica, 2013, 62(11): 110510. doi: 10.7498/aps.62.110510
    [9] Gao Chao, Bi Qin-Sheng, Zhang Zheng-Di. The oscillation and bifurcation of a switching system composed of jump circuits. Acta Physica Sinica, 2013, 62(2): 020504. doi: 10.7498/aps.62.020504
    [10] Yu Yue, Zhang Chun, Han Xiu-Jing, Bi Qin-Sheng. Oscillations and their mechanism of compound system with periodic switches between two subsystems. Acta Physica Sinica, 2012, 61(20): 200507. doi: 10.7498/aps.61.200507
    [11] Wu Tian-Yi, Zhang Zheng-Di, Bi Qin-Sheng. The oscillations of a switching electrical circuit and the mechanism of non-smooth bifurcations. Acta Physica Sinica, 2012, 61(7): 070502. doi: 10.7498/aps.61.070502
    [12] Gao Zai-Rui, Shen Yan-Xia, Ji Zhi-Cheng. Uniform finite-time stability of discrete-time switched descriptor systems. Acta Physica Sinica, 2012, 61(12): 120203. doi: 10.7498/aps.61.120203
    [13] Ma Xin-Dong, Bi Qin-Sheng. Complicated behaviors as well as the mechanism of the switching circuit. Acta Physica Sinica, 2012, 61(24): 240506. doi: 10.7498/aps.61.240506
    [14] Liu Yang-Zheng, Lin Chang-Sheng, Li Xin-Chao. Family of switched unified chaotic system. Acta Physica Sinica, 2011, 60(4): 040505. doi: 10.7498/aps.60.040505
    [15] Liu Yang-Zheng, Lin Chang-Sheng, Wang Zhong-Lin. A new switched four-scroll hyperchaotic system and its circuit implementation. Acta Physica Sinica, 2010, 59(12): 8407-8413. doi: 10.7498/aps.59.8407
    [16] Liu Yang-Zheng, Jiang Chang-Sheng. Building and analysis of properties of a class of correlative and switchable hyperchaotic system. Acta Physica Sinica, 2009, 58(2): 771-778. doi: 10.7498/aps.58.771
    [17] Liu Yang-Zheng, Jiang Chang-Sheng, Lin Chang-Sheng. Division time chaos switch-synchronization for a class interrelated chaotic systems. Acta Physica Sinica, 2008, 57(2): 709-713. doi: 10.7498/aps.57.709
    [18] Liu Yang-Zheng, Jiang Chang-Sheng, Lin Chang-Sheng. Chaos switch-synchronization for a class of 4-D chaotic systems. Acta Physica Sinica, 2007, 56(2): 707-712. doi: 10.7498/aps.56.707
    [19] Liu Yang-Zheng, Jiang Chang-Sheng, Lin Chang-Sheng, Xiong Xing, Shi Lei. A class of switchable 3D chaotic systems. Acta Physica Sinica, 2007, 56(6): 3107-3112. doi: 10.7498/aps.56.3107
    [20] Liu Yang-Zheng, Jiang Chang-Sheng, Lin Chang-Sheng, Sun Han. Four-dimensional switchable hyperchaotic system. Acta Physica Sinica, 2007, 56(9): 5131-5135. doi: 10.7498/aps.56.5131
Metrics
  • Abstract views:  5348
  • PDF Downloads:  796
  • Cited By: 0
Publishing process
  • Received Date:  06 June 2013
  • Accepted Date:  13 October 2013
  • Published Online:  05 January 2014

/

返回文章
返回