Optimal H2 Decentralized Control of Cone Causal Spatially Invariant Systems

被引:0
作者
Raoufat, M. Ehsan [1 ]
Djouadi, Seddik M. [1 ]
机构
[1] Univ Tennessee, Min H Kao Dept Elect Engn & Comp Sci, Knoxville, TN 37996 USA
来源
2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC) | 2018年
关键词
Decentralized control; spatially invariant systems; cone causality; DISTRIBUTED CONTROL;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper presents an explicit solution to decentralized control of a class of spatially invariant systems. The problem of optimal H-2 decentralized control for cone causal systems is formulated. Using Parseval's identity, the optimal H-2 decentralized control problem is transformed into an infinite number of model matching problems with a specific structure that can be solved efficiently. In addition, the closed-form expression (explicit formula) of the decentralized controller is derived for the first time. In particular, it is shown that the optimal decentralized controller is given by a specific positive feedback scheme. A constructive procedure to obtain the state space representation of the decentralized controller is provided. A numerical example is given and compared with previous works which demonstrate the effectiveness of the proposed method.
引用
收藏
页码:961 / 966
页数:6
相关论文
共 25 条
  • [1] A convex characterization of distributed control problems in spatially invariant systems with communication constraints
    Bamieh, B
    Voulgaris, PG
    [J]. SYSTEMS & CONTROL LETTERS, 2005, 54 (06) : 575 - 583
  • [2] Distributed control of spatially invariant systems
    Bamieh, B
    Paganini, F
    Dahleh, MA
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (07) : 1091 - 1107
  • [3] Bamieh B, 1999, LECT NOTES CONTR INF, V245, P329
  • [4] Barooah Prabir, 2007, 2007 American Control Conference, P4666, DOI 10.1109/ACC.2007.4282756
  • [5] Djouadi Seddik M., 2014, 2014 American Control Conference, P2214, DOI 10.1109/ACC.2014.6859351
  • [6] Djouadi SM, 2015, IEEE DECIS CONTR P, P549, DOI 10.1109/CDC.2015.7402286
  • [7] Djouadi SM, 2015, P AMER CONTR CONF, P2613, DOI 10.1109/ACC.2015.7171128
  • [8] Duren P., 2000, THEORY HP SPACES MIN
  • [9] Design of optimal controllers for spatially invariant systems with finite communication speed
    Fardad, Makan
    Jovanovic, Mihailo R.
    [J]. AUTOMATICA, 2011, 47 (05) : 880 - 889
  • [10] HO YC, 1972, IEEE T AUTOMAT CONTR, VAC17, P15