A spectral quadratic-SDP method with applications to fixed-order H2 and H∞ synthesis

被引：51

作者：

Apkarian, P

Noll, D

Thevenet, JB

Tuan, HD

机构：

[1] ONERA CERT, Ctr Etud Rech Toulouse, Control Syst Dept, F-31055 Toulouse, France

[2] Univ Toulouse 3, Dept Math, F-31062 Toulouse, France

[3] Univ New S Wales, Sch Elect & Telecommun Engn, Sydney, NSW 2052, Australia

来源：

EUROPEAN JOURNAL OF CONTROL | 2004年 / 10卷 / 06期

关键词：

augmented Lagrangian (AL) method; fixed-order synthesis; linear matrix inequality (LMI); rank constraints; reduced-order synthesis; robust synthesis; semidefinite programming (SDP);

D O I：

10.3166/ejc.10.527-538

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we discuss a spectral quadratic semi,finite programming (SDP) method for the iterative de resolution of fixed-order H(2) and H(infinity) design problems. These problems can be cast as regular SDP programs with additional nonlinear equality constraints. When the inequalities are absorbed into a Lagrangian function the problem reduces to solving a sequence of SDPs with quadratic objective function for which a spectral SDP method has been developed. Along with a description of the spectral SDP method used to solve the tangent subproblems, we report a number of computational results to validate our approach.

引用

页码：527 / 538

页数：12

共 33 条

[1]

Anderson B., 1973, Network Analysis and Synthesis: AModern Systems Theory Approach

[2] Fixed-order H∞ control design via a partially augmented Lagrangian method [J].