Model Reduction of Semistable Distributed Parameter Systems

被引：0
|
作者：
Ziemann, Ingvar [1 ]
Zhou, Yishao [2 ]
机构：
[1] KTH Royal Inst Technol, Sch Elect Engn & Comp Sci, SE-10044 Stockholm, Sweden
[2] Stockholm Univ, Dept Math, SE-10691 Stockholm, Sweden
来源：
2019 18TH EUROPEAN CONTROL CONFERENCE (ECC) | 2019年
基金：
瑞典研究理事会;
关键词：
D O I：
10.23919/ecc.2019.8796051
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The model reduction problem for semistable infinite-dimensional control systems is studied in this paper. In relation to these systems, we study an object we call the semistability Gramian, which serves as a generalization of the ordinary controllability Gramian valid for semistable systems. This Gramian is then given geometric as well as algebraic characterization via a Lyapunov equation. We then proceed to show that under a commutativity assumption relating the original and reduced systems, and as long as the semistability is preserved, we may derive a priori error formulas in H-2-norm in terms of the trace of this Gramian.
引用
收藏
页码：1944 / 1950
页数：7
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