Design of robust H∞ control for interconnected systems:: A homotopy method

被引:0
|
作者
Chen, N [1 ]
Ikeda, M
Gui, WH
机构
[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China
[2] Osaka Univ, Grad Sch Engn, Suita, Osaka 5650871, Japan
关键词
decentralized control; H-infinity control; homotopy method; LMI; NMI; uncertainty;
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 considers a robust decentralized H. control problem for uncertain large-scale interconnected systems. The uncertainties are assumed to be time-invariant, norm-bounded, and exist In subsystems. A design method based on the bounded real lemma is developed for a dynamic output feedback controller, which is reduced to a feasibility problem for a nonlinear matrix inequality (NMI). It is proposed to solve the NMI iteratively by the idea of homotopy, where some of the variables are fixed alternately on each iteration to reduce the NMI to a linear matrix inequality (LMI). A decentralized controller for the nominal system is computed first by imposing structural constraints on the coefficient matrices gradually. Then, the decentralized controller is modified again gradually to cope with the uncertainties. A given example shows the efficiency of this method.
引用
收藏
页码:143 / 151
页数:9
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