Global optimization in stabilizing controller design

被引：16

作者：

Chang, YoungJung ^{[1
]}

Sahinidis, Nikolaos V. ^{[1
]}

机构：

[1] Univ Illinois, Dept Chem & Biomol Engn, Urbana, IL 61801 USA

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2007年 / 38卷 / 04期

关键词：

stability; simultaneous stabilization; linear controller design; global optimization; Belgian chocolate problem;

D O I：

10.1007/s10898-006-9092-2

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we develop a global optimization methodology to solve stabilization problems. We first formulate stabilization problems as bilevel programming problems. By invoking the Hurwitz stability conditions, we reformulate these bilevel programs to equivalent single-level nonconvex optimization programs. The branch-and-reduce global optimization algorithm is finally applied to these problems. Using the proposed methodology, we report improved solutions for two feedback stabilization problems from the literature. In addition, we improve the lower bound of the stabilizability parameter of the Belgian chocolate problem from the previous best known 0.96 to 0.973974.

引用

页码：509 / 526

页数：18

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