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切换系统的异步镇定: 相邻模型依赖平均驻留时间

王月娥 吴保卫 汪锐

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切换系统的异步镇定: 相邻模型依赖平均驻留时间

王月娥, 吴保卫, 汪锐

Asynchronous stabilization of switched systems: Adjacent mode-dependent average dwell time

Wang Yue-E, Wu Bao-Wei, Wang Rui
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  • 本文研究一类切换线性系统在异步切换下的镇定问题. 由于控制器的切换信号中存在时滞使得控制器的切换和系统的切换出现了异步的情况. 首先, 提出了相邻模型依赖平均驻留时间的定义. 然后, 通过合并切换信号的方法和多Lyapunov函数方法, 给出了相邻模型依赖平均驻留时间切换下整个切换系统稳定的充分条件和控制器设计. 这些条件反映了系统的连续动态、切换时滞和平均驻留时间之间的关系. 最后, 通过例子验证了本文方法的有效性.
    This paper addresses the stabilization problem of a class of switched linear systems. Due to the presence of switching delay in the switching signal of the controller, the switching of the controller and the of the system are turned out to be asynchronous. By combining switching signal method with the multiple Lyapunov function method, some sufficient conditions are provided to guarantee the stability of the whole switched system by an adjacent mode-dependent average dwell time scheme. These conditions imply the relationship among the continuous dynamics, switching delay, and the average dwell time. Finally, a numerical example is presented to illustrate the effectiveness of the proposed method.
    • 基金项目: 国家自然科学基金(批准号: 61403241, 61374072, 11371233)、中国博士后科学基金(批准号: 2014M560748)和中央高校基本科研业务费专项资金(批准号: GK201503011)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61403241, 61374072, 11371233), and the China Postdoctoral Science Foundation (Grant No. 2014M560748), and the Fundamental Research Funds for the Central Universities (Grant No. GK201503011).
    [1]

    Liberzon D, Morse A S 1999 IEEE Contr. Syst. Mag. 19 59

    [2]

    Cheng D Z, Guo Y Q 2005 Control Theory & Applications 22 954 (in Chinese) [程代展, 郭宇骞 2005 控制理论与应用 22 954]

    [3]

    Zhao J, Hill D J 2008 Automatica 44 1220

    [4]

    Sun X M, Wang W 2012 Automatica 48 2359

    [5]

    Wang D, Wang W, Shi P 2009 IEEE Trans. Syst., Man, Cybern. B, Cybern. 39 800

    [6]

    Wang D, Shi P, Wang W 2010 IET Control Theory Appl. 4 100

    [7]

    Lian J, Shi P, Feng Z 2013 IEEE Trans. Cybern. 4 3

    [8]

    Niu B, Zhao J 2013 Int. J. Syst. Sci. 44 978

    [9]

    Zhang J L, Zhang H G, Luo Y H, Feng T 2014 Neurocomputing 133 163

    [10]

    Cao W, Guo Y, Sun M 2014 Acta Phys. Sin. 63 180202 (in Chinese) [曹伟, 郭媛, 孙明 2014 物理学报 63 180202]

    [11]

    Zhang Y L, Wu B W, Wang Y E, Han X X 2014 Acta Phys. Sin. 63 170205 (in Chinese) [张耀利, 吴保卫, 王月娥, 韩晓霞 2014 物理学报 63 170205]

    [12]

    Duan G R, Wang H Q 2005 Acta Aeronaut. Astronaut. Sin. 26 144 (in Chinese) [段广仁, 王好谦 2005 航空学报 26 144]

    [13]

    Lin X Z, Du H B, Li S H 2011 Control and Decision 26 841 (in Chinese) [林相泽, 都海波, 李世华 2011 控制与决策 26 841]

    [14]

    Wu Z H, Peng L, Xie L B, Wen J W 2013 Chin. Phys. B 22 128901

    [15]

    Li L, Fang H J 2013 Chin. Phys. B 22 110505

    [16]

    Sun F L, Zhu W 2013 Chin. Phys. B 22 110204

    [17]

    Wang Y E, Sun X M, Shi P, Zhao J 2013 IEEE Trans. Cybern. 43 2261

    [18]

    Wang Y E, Zhao J, Jiang B 2013 IEEE Trans. Autom. Control 58 2114

    [19]

    Zhang L X, Gao H J 2010 Automatica 46 953

    [20]

    Xiang Z R, Wang R H 2009 IET Control Theory and Applications 3 1041

    [21]

    Zhang Y R 2006 Ph. D. Dissertation (Chengdu: Southwest Jiaotong University) (in Chinese) [张艳荣 2006 博士学位论文 (成都:西南交通大学)]

    [22]

    Vu L, Kristi M A 2010 IEEE Trans. Autom. Control 55 2385

    [23]

    Zhao X D, Zhang L X, Shi P, Liu M 2012 IEEE Trans. Autom. Control 57 1809

    [24]

    Xiang M, Xiang Z R, Karimi H R 2014 Inform. Sciences 278 703

  • [1]

    Liberzon D, Morse A S 1999 IEEE Contr. Syst. Mag. 19 59

    [2]

    Cheng D Z, Guo Y Q 2005 Control Theory & Applications 22 954 (in Chinese) [程代展, 郭宇骞 2005 控制理论与应用 22 954]

    [3]

    Zhao J, Hill D J 2008 Automatica 44 1220

    [4]

    Sun X M, Wang W 2012 Automatica 48 2359

    [5]

    Wang D, Wang W, Shi P 2009 IEEE Trans. Syst., Man, Cybern. B, Cybern. 39 800

    [6]

    Wang D, Shi P, Wang W 2010 IET Control Theory Appl. 4 100

    [7]

    Lian J, Shi P, Feng Z 2013 IEEE Trans. Cybern. 4 3

    [8]

    Niu B, Zhao J 2013 Int. J. Syst. Sci. 44 978

    [9]

    Zhang J L, Zhang H G, Luo Y H, Feng T 2014 Neurocomputing 133 163

    [10]

    Cao W, Guo Y, Sun M 2014 Acta Phys. Sin. 63 180202 (in Chinese) [曹伟, 郭媛, 孙明 2014 物理学报 63 180202]

    [11]

    Zhang Y L, Wu B W, Wang Y E, Han X X 2014 Acta Phys. Sin. 63 170205 (in Chinese) [张耀利, 吴保卫, 王月娥, 韩晓霞 2014 物理学报 63 170205]

    [12]

    Duan G R, Wang H Q 2005 Acta Aeronaut. Astronaut. Sin. 26 144 (in Chinese) [段广仁, 王好谦 2005 航空学报 26 144]

    [13]

    Lin X Z, Du H B, Li S H 2011 Control and Decision 26 841 (in Chinese) [林相泽, 都海波, 李世华 2011 控制与决策 26 841]

    [14]

    Wu Z H, Peng L, Xie L B, Wen J W 2013 Chin. Phys. B 22 128901

    [15]

    Li L, Fang H J 2013 Chin. Phys. B 22 110505

    [16]

    Sun F L, Zhu W 2013 Chin. Phys. B 22 110204

    [17]

    Wang Y E, Sun X M, Shi P, Zhao J 2013 IEEE Trans. Cybern. 43 2261

    [18]

    Wang Y E, Zhao J, Jiang B 2013 IEEE Trans. Autom. Control 58 2114

    [19]

    Zhang L X, Gao H J 2010 Automatica 46 953

    [20]

    Xiang Z R, Wang R H 2009 IET Control Theory and Applications 3 1041

    [21]

    Zhang Y R 2006 Ph. D. Dissertation (Chengdu: Southwest Jiaotong University) (in Chinese) [张艳荣 2006 博士学位论文 (成都:西南交通大学)]

    [22]

    Vu L, Kristi M A 2010 IEEE Trans. Autom. Control 55 2385

    [23]

    Zhao X D, Zhang L X, Shi P, Liu M 2012 IEEE Trans. Autom. Control 57 1809

    [24]

    Xiang M, Xiang Z R, Karimi H R 2014 Inform. Sciences 278 703

计量
  • 文章访问数:  5099
  • PDF下载量:  822
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-09-10
  • 修回日期:  2014-10-10
  • 刊出日期:  2015-03-05

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