Structured controller synthesis using LMI and alternating projection method

Structured controller synthesis using LMI and alternating projection method
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DOI:
10.1109/cdc.2003.1271901
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发表时间:
2003-12
期刊:
42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)
影响因子:
--
通讯作者:
Y. Ebihara;T. Hagiwara
Y. Ebihara;T. Hagiwara
中科院分区:
其他
文献类型:
--
作者:
Y. Ebihara;T. Hagiwara

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在本文中,我们提出了新的基于lmi的条件来设计结构约束下的输出反馈控制器。用带秩约束的LMI的形式给出了这些条件,并用交替投影算法求解。尽管该算法不能保证全局收敛,但大量的数值实验表明,只要闭环系统的维数不是过大,所提出的设计方法在设计结构化和/或多目标控制器方面是有希望的。
In this paper, we propose new LMI-based conditions to design output-feedback controllers under structural constraints. The conditions are given in terms of LMI's with rank constraints and we solve them by means of the alternating projection algorithm. Even though the algorithm does not ensure global convergence, extensive numerical experiments demonstrate that the proposed design method is promising in designing structured and/or multiobjective controllers, provided that the dimension of the closed-loop systems is not excessively large.