期刊文献+

一类线性连续切换系统的迭代学习控制 被引量:15

Iterative learning control for a class of linear continuous-time switched systems
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摘要 针对有限时间区间内执行重复控制任务的线性连续切换系统,考虑基于迭代学习的跟踪控制问题.假设线性切换系统的切换率在时间域内是任意的,提出该类系统的D型迭代学习控制算法.理论分析表明,当学习增益矩阵满足一定的条件时,D型迭代学习控制算法可以保证切换系统的实际输出在整个运行区间上一致收敛于期望输出,实现完全跟踪控制.数值仿真进一步验证了方法的有效性. The problem of iterative learning control for a class of linear continuous-time switched systems with arbitrary switched rules is considered.It is assumed that the considered switched systems are operated during a finite time interval repetitively,and then the iterative learning control scheme can be introduced.It is also shown that under some given conditions,the D-type iterative learning control law can guarantee the asymptotic convergence of the output error between the desired output and the actual output for the entire time interval through the iterative learning process.And then an example is given to illustrate the effectiveness of the proposed approach.
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2012年第8期1051-1056,共6页 Control Theory & Applications
基金 国家自然科学基金资助项目(61203065 60834001 61120106009) 河南省教育厅自然科学研究计划资助项目(12A510013) 河南省高等学校控制工程重点学科开放实验室资助项目(KG2011-10)
关键词 迭代学习控制 切换系统 任意切换率 收敛性 iterative learning control switched systems arbitrary switched rules convergence
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参考文献31

  • 1OOBA T, FUNAHASHI Y. On a common quadratic Lyapunov func- tion for widely distant systems [J]. IEEE Transactions on Automatic Control, 2003, 42(12): 1697 - 1699.
  • 2JEON D, TOMIZUKA M. Learning hybrid force and position control of robot manipulators [J]. IEEE Transactions on Robot Automation, 1993, 9(4): 423 - 431.
  • 3LENNARTSSON B, TTTTUS M, EGARDT B, et al. Hybrid systems in process control [J]. IEEE Control System Magazine, 1996, 16(5): 45 - 56.
  • 4BALLUCHI A, DI BENEDETT M D, PINELLO C. Hybrid control in automotive applications: the cut-off control [J]. Automatica, 1999, 35(3): 519 - 535.
  • 5BEMPORAD A, TRECATE G F, MORARI M. Observability and controllability of piecewlse affme and hybrid systems [J]. IEEE Transactions on Automatic Control, 2000, 45(10): 1864 - 1876.
  • 6CHENG D. Controllability of switched bilinear systems [J]. IEEE Transactions on Automatic Control, 2005, 50(4): 511 - 515.
  • 7SUN Z, GE S S, LEE T H. Controllability and reachability criteria for switched linear systems [J]. Automatica, 2002, 38(5): 775 - 786.
  • 8Jl Z, FENG G, GUO X. A constructive approach to reachability real- ization of discrete-time switched linear systems [J]. System & Control Letters, 2007, 56(11/12): 669 - 677.
  • 9EGERSTEDT M, BABAALI M. On observability and reachability in a class of discrete-time switched linear systems [C] //Proceeding of American Control Conference. Atlanta: IEEE, 2005:1179 - 1180.
  • 10HESPANHA J P, LIBERZON D, ANGELI D, et al. Nonlinear norm- observability notions and stability of switched systems [J]. IEEE Transactions on Automatic Control, 2005, 52(2): 154 - 168.

二级参考文献21

  • 1张冬梅,孙明轩,俞立.基于观测器跟踪非一致轨迹的迭代学习控制器设计[J].控制理论与应用,2006,23(5):795-799. 被引量:8
  • 2Moore K L. herative learning control--an expository overview. Applied and Computational Controls, Signal Processingand Circuits, 1998, 1(2): 151-214.
  • 3Xu J X, Qu Z. Robust iterative learning control for a class of nonlinear systems. Automatica, 1998, 34(8): 983-988.
  • 4Chui C K. An Introduction to Wavelets. New York: Academic Press, 1992.
  • 5Slotine J J, Li W. Applied Nonlinear Control. Englewood Cliffs: Prentice-Hall, 1991.
  • 6Moore K L. Iterative learning control-an expository overview. Applied and Computational Controls, Signal Processing and Circuits, 1998, 1(2): 151-214
  • 7Xu J X, Qu Z. Robust iterative learning control for a class of nonlinear systems. Automatica, 1998, 34(8): 983-988
  • 8Chui C K. An Introduction to Wavelets. New York: Academic Press, 1992
  • 9Slotine J J, Li W. Applied Nonlinear Control. Englewood Cliffs: Prentice-Hall, 1991
  • 10ARIMOTO S, KAWAMURA S, MIYAZAKI E Bettering operation of robots by learning[J]. J Robot System, 1984, 1(2): 123 - 140.

共引文献23

同被引文献110

  • 1李少远,薛振框,王昕,李柠.非线性系统多模型控制方法的研究[J].系统仿真技术,2005,1(1):14-20. 被引量:2
  • 2程代展,郭宇骞.切换系统进展[J].控制理论与应用,2005,22(6):954-960. 被引量:57
  • 3Willem L,De K.Digital optimal reduced-order control of pulse-width-modulated switched linear systems.Automatica,2003,39(11):1997-2003.
  • 4Tan K T,So P L,Chu Y C,Zhen M Z Q.Coordinated control and energy management of distributed generation inverters in a microgrid.IEEE Transactions on Power Delivery,2013,28(2):704-713.
  • 5Yi B,Pagilla P R.Design and implementation of a robust switching control scheme for a class of constrained robot tasks.International Journal of Systems Science,2006,37(5):303-321.
  • 6Lennartsson B,Tittus M,Egardt B,et al.Hybrid systems in process control.IEEE Control System Magazine,1996,16(5):45-56.
  • 7Sun Z D,Ge S S.Analysis and synthesis of switched linear control systems.Automatica,2005,41(2):181-356.
  • 8Shorten R N,Narendra K S,Mason 0.A result on common quadratic Lyapunov functions.IEEE Transaction on Automatic Control,2003,48(1):618-621.
  • 9Ooba T,Funahashi Y.On a common quadratic Lyapunov function for widely distant systems.IEEE Transactions on Automatic Control 2003,42(12):1697-1699.
  • 10Branichy M S.Multiple Lyapunov functions and other analysis tools for switched and hybrid systems.IEEE Transactions on Automatic Control,1998,43(4):475-482.

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二级引证文献25

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