具有异步控制器的离散马尔可夫跳变Lur'e系统的稳定性和l2增益性能分析
作者:
中图分类号:

TP273


Stability and l2-gain analysis for discrete-time Markov jump Lur'e aystems with asynchronous controller
Author:
  • 摘要
  • | |
  • 访问统计
  • |
  • 参考文献
  • |
  • 相似文献
  • | | |
  • 文章评论
    摘要:

    本文研究了一类具有异步控制器的离散马尔可夫Lur'e跳变系统的稳定性及l2增益性能.通过引入隐马尔可夫模型(HHM)来描述所设计的控制器和原始系统之间出现的异步现象.利用线性矩阵不等式(LMI)方法分析了闭环系统的稳定性和l2增益性能.然后提出了一个充分条件使得闭环系统随机稳定,并使得从扰动到系统输出的l2增益达到最小.同时,通过求解给定条件来设计一个由线性状态反馈和扇形有界非线性输出反馈组成的异步控制器.最后,给出了一个数值仿真例子来验证所提方法的有效性.

    Abstract:

    This paper is concerned with the stability and l2-gain performance for a class of discrete-time Lur'e systems with an asynchronous controller.A hidden Markov model (HHM) is introduced to describe the asynchronization that appears between the designed controller and the original system.The linear matrix inequality (LMI) approach is utilized to analyze the stability of the closed-loop system and l2-gain performance.Then a sufficient condition is proposed to guarantee the stochastic stability of the closed-loop system,and to minimize the obtained l2-gain from the disturbance to output.Thus,an asynchronous controller consisting of both linear state feedback and cone-bounded nonlinear output feedback can be designed by solving the given conditions.A simulation example is given to demonstrate the effectiveness of the proposed method.

    参考文献
    [1] Lin H,Su H,Chen M Z Q,et al.On stability and convergence of optimal estimation for networked control systems with dual packet losses without acknowledgment[J].Automatica,2018,90:81-90
    [2] Karan M,Shi P,Kaya C Y.Transition probability bounds for the stochastic stability robustness of continuous-and discrete-time Markovian jump linear systems[J].Automatica,2006,42(12):2159-2168
    [3] Lu R,Zou H,Su H,et al.Robust D-stability for a class of complex singularly perturbed systems[J].IEEE Transactions on Circuits & Systems Ⅱ:Express Briefs,2008,55(12):1294-1298
    [4] Lu R,Xu Y,Xue A,et al.Networked control with state reset and quantized measurements:observer-based case[J].IEEE Transactions on Industrial Electronics,2013,60(11):5206-5213
    [5] Wu Z G,Shi P,Su H,et al.Stochastic synchronization of Markovian jump neural networks with time-varying delay using sampled data[J].IEEE Transactions on Cybernetics,2013,43(6):1796-1806
    [6] Todorov M G,Fragoso M D.New methods for mode-independent robust control of Markov jump linear systems[J].Systems & Control Letters,2016,90:38-44
    [7] Wu H N,Cai K Y.Mode-independent robust stabilization for uncertain Markovian jump nonlinear systems via fuzzy control[J].IEEE Transactions on Systems,Man & Cybernetics,Part B(Cybernetics),2006,36(3):509-519
    [8] Wu Z G,Shi P,Su H,et al.Asynchronous l2 infty filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities[J].Automatica,2014,50(1):180-186
    [9] Wu Z G,Shi P,Shu Z,et al.Passivity-based asynchronous control for Markov jump systems[J].IEEE Transactions on Automatic Control,2017,62(4):2020-2025
    [10] Shen Y,Wu Z G,Shi P,et al.Asynchronous filtering for Markov jump neural networks with quantized outputs[J].IEEE Transactions on Systems,Man & Cybernetics:Systems,2018,99:1-11
    [11] Zhang H,Lun S,Liu D.Fuzzy H filter design for a class of nonlinear discrete-time systems with multiple time delays[J].IEEE Transactions on Fuzzy Systems,2007,15(3):453-469
    [12] Shanlingdong S,Wu Z G,Pan Y J,et al.Hidden-Markov-model-based asynchronous filter design of nonlinear Markov jump systems in continuous-time domain[J].IEEE Transactions on Cybernetics,2018,99:1-11
    [13] Song J,Niu Y,Zhao H,et al.Finite-time l2-l control of Markovian jump linear systems with partly accessible hidden information via asynchronous output feedback[C]//201711th Asian Control Conference.IEEE,2017:2447-2452
    [14] Khalil H K.Nonlinear systems[M].3rd ed.Prentice Hall,2012
    [15] Castelan E B,Moreno U F,Pieri E R D.Absolute stabilization of discrete-time systems with a sector bounded nonlinearity under control saturations[C]//2006 IEEE International Symposium on Circuits and Systems,ISCAS 2006.IEEE,2006:4-8
    [16] Castelan E B,Tarbouriech S,Queinnec I.Control design for a class of nonlinear continuous-time systems[J].Automatica,2008,44(8):2034-2039
    [17] Song G,Zhang Y,Xu S.Stability and l2-gain analysis for a class of discrete-time non-linear Markovian jump systems with actuator saturation and incomplete knowledge of transition probabilities[J].Control Theory & Applications,2012,6(17):2716-2723
    [18] Gonzaga C A C,Jungers M,Daafouz J.Stability analysis of discrete-time Lur'e systems[J].Automatica,2012,48(9):2277-2283
    [19] Gonzaga C A C,Costa O L V.Stochastic stabilization and induced l2-gain for discrete-time Markov jump Lur'e systems with control saturation[J].Automatica,2014,50(9):2397-2404
    引证文献
    网友评论
    网友评论
    分享到微博
    发 布
引用本文

陶跃跃.具有异步控制器的离散马尔可夫跳变Lur'e系统的稳定性和l2增益性能分析[J].南京信息工程大学学报(自然科学版),2018,10(6):723-730
TAO Yueyue. Stability and l2-gain analysis for discrete-time Markov jump Lur'e aystems with asynchronous controller[J]. Journal of Nanjing University of Information Science & Technology, 2018,10(6):723-730

复制
分享
文章指标
  • 点击次数:
  • 下载次数:
  • HTML阅读次数:
  • 引用次数:
历史
  • 收稿日期:2018-09-25
  • 在线发布日期: 2018-12-18

地址:江苏省南京市宁六路219号    邮编:210044

联系电话:025-58731025    E-mail:nxdxb@nuist.edu.cn

南京信息工程大学学报 ® 2025 版权所有  技术支持:北京勤云科技发展有限公司