Robust Input Design Using Sum of Squares Constraints

Robust Input Design Using Sum of Squares Constraints
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使用平方和约束的鲁棒输入设计

DOI:
10.3182/20060329-3-au-2901.00219
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发表时间:
2006
期刊:
IFAC Proceedings Volumes
影响因子:
--
通讯作者:
H. Hjalmarsson
H. Hjalmarsson
中科院分区:
--
文献类型:
--
作者:
J. Mårtensson;H. Hjalmarsson

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本文的目的是说明如何将凸规划的最新进展用于系统辨识的输入设计。结果表明,平方和技术和最近推广的KYP引理可用于将频率函数上界与频率相关的输入设计问题转化为凸优化问题。另一个可以用平方和处理的重要问题是稳健输入设计,其中考虑了真实参数的初始不确定性。
The objective of this paper is to illustrate how recent advances in convex programming can be used in input design in system identification. It is shown that sum of squares techniques and a recent generalization of the KYP lemma can be used to transform input design problems with frequency dependent bounds on the frequency function to convex optimization problems. Another important problem that can be handled with sum of squares is robust input design where initial uncertainty in the true parameters is accounted for.
DOI: 10.1109/tac.2004.840475
发表时间: 2005-01
影响因子: 6.8
作者:
T. Iwasaki;S. Hara
通讯作者: T. Iwasaki;S. Hara