Hankel-type model reduction for linear repetitive processes: differential and discrete cases

被引：15
作者：
Wu, Ligang [2 ]
Lam, James [1 ]
机构：
[1] Univ Hong Kong, Dept Mech Engn, Hong Kong, Peoples R China
[2] S China Univ Technol, Coll Automat Sci & Engn, Guangzhou, Peoples R China
来源：
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING | 2008年 / 19卷 / 01期
关键词：
linear matrix inequality (LMI); linear repetitive processes; model reduction;
D O I：
10.1007/s11045-007-0031-2
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper investigates a Hankel-type model reduction problem for linear repetitive processes. Both differential and discrete cases are considered. For a given stable along the pass process, our attention is focused on the construction of a reduced-order stable along the pass process, which guarantees the corresponding error process to have a specified Hankel-type error performance. The Hankel-type performances are first established for differential and discrete linear repetitive processes, respectively, and the corresponding model reduction problems are solved by using the projection approach. Since these obtained conditions are not expressed in linear matrix inequality (LMI) form, the cone complementary linearization (CCL) method is exploited to cast them into sequential minimization problems subject to LMI constraints, which can be solved efficiently. Three numerical examples are provided to demonstrate the proposed theory.
引用
收藏
页码：41 / 78
页数：38
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