A Popov criterion for networked systems

被引:19
作者
Jonsson, Ulf [1 ]
Kao, Chung-Yao
Fujioka, Hisaya
机构
[1] Royal Inst Technol, S-10044 Stockholm, Sweden
[2] Univ Melbourne, Dept Elect & Elect Engn, Parkville, Vic 3010, Australia
[3] Kyoto Univ, Grad Sch Informat, Kyoto 6068501, Japan
基金
澳大利亚研究理事会;
关键词
networked control systems; robustness; stability; integral quadratic constraint; uncertainty; Popov criteria;
D O I
10.1016/j.sysconle.2007.04.003
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We consider robustness analysis of heterogeneous and homogeneous networked systems based on integral quadratic constraints (IQCs). First, we show how the analysis decomposes into lower dimensional problems if the interconnection structure is exploited. This generally leads to a significant reduction of the computational complexity. Secondly, by considering a set of IQCs that characterizes the eigenvalues of the interconnection matrices of symmetrically networked systems, we derive a Popov-like criterion for such systems. In particular, when the nodes of the networked system are single-input-single-output linear time-invariant operators, the criterion can be illustrated using a generalized Popov plot. In such cases. the Popov criterion is also a necessary condition in the sense that if the criterion is violated then a destabilizing network with the specified eigenvalue distribution can be constructed. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:603 / 610
页数:8
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