JIN Chao-yong, ZHANG Xiang-wei. On Decentralized Stabilization of Linear Large Scale Systems With Symmetric Circulant Structure[J]. Applied Mathematics and Mechanics, 2004, 25(8): 787-795.
Citation: JIN Chao-yong, ZHANG Xiang-wei. On Decentralized Stabilization of Linear Large Scale Systems With Symmetric Circulant Structure[J]. Applied Mathematics and Mechanics, 2004, 25(8): 787-795.

On Decentralized Stabilization of Linear Large Scale Systems With Symmetric Circulant Structure

  • Received Date: 2002-11-25
  • Rev Recd Date: 2004-04-16
  • Publish Date: 2004-08-15
  • The decentralized stabilization of continuous and discrete linear large scale systems with symmetric circulant structure was studied. A few sufficient conditions on decentralized stabilization of such systems were proposed. For the continuous systems, by introducing a concept called the magnitude of interconnected structure, a very important property that the decentralized stabilization of such systems is fully determined by the structure of each isolated subsystem that is obtained when the magnitude of interconnected structure of the overall system is given. So the decentralized stabilization of such systems can be got by only appropriately designing or modifying the structure of each isolated subsystem, no matter how complicated the interconnected structure of the overall system is. A algorithm for obtaining decentralized state feedback to stabilize the overall system is given. The discrete systems were also discussed. The results show that there is a great dfference on decentralized stabilization between continuous case and discrete case.
  • loading
  • [1]
    Geromel J C,Yamakami A.Stabilization of continuous and discrete linear systems subjected to control structure constraints[J].Internat J Control,1982,36(3):429—444. doi: 10.1080/00207178208932906
    [2]
    Lee T N,Radovic U L.Decentralized stabilization of linear continuous and discrete-time systems with delays in interconnections[J].IEEE Trans Automat Control,1988,33(3):757—761. doi: 10.1109/9.1293
    [3]
    Ikeda M,Siljak D D,Yasuda K.Optimality of decentralized control for large-scale systems[J].Automatica—J IFAC,1983,19(3):309—316. doi: 10.1016/0005-1098(83)90109-7
    [4]
    金朝永.Vandermonde矩阵的逆模与大系统的分散镇定性[J].高校应用数学学报,A辑,1997,12(2):219—228.
    [5]
    金朝永.一类含参数的分块对称矩阵的正定性及应用[J].高校应用数学学报,A辑,2001,16(1):107—113.
    [6]
    JIN Chao-yong.Decentralized stabilization of a class of interconnected systems[J].Appl Math J Chinese Univ,Ser B,2001,12(3):330—338.
    [7]
    Brockett R W,Willems J L.Discretezed partial differential equations:examples on control systems defined on modules[J].Automatica,1974,10(4):507—515. doi: 10.1016/0005-1098(74)90051-X
    [8]
    Hovd M,Skogestad S.Control of symmetrically interconnected plants[J].Automatica,1994,30(6):957—973. doi: 10.1016/0005-1098(94)90190-2
    [9]
    黄守东,张嗣瀛.具有对称循环结构的大系统Ricatti方程的求解[J].控制理论与应用,1998,15(1):75—81.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2266) PDF downloads(638) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return