A spectral quadratic-SDP method with applications to fixed-order H/sub 2/ and H/sub /spl infin// synthesis

Author

Apkarian, Pierre ; Noll, Dominikus ; Thevenet, Jean-Baptsite ; Tuan, Hoang Duong

Author_Institution

Dept. of Control Syst., ONERA-CERT, Toulouse, France

Volume

2

fYear

2004

fDate

20-23 July 2004

Firstpage

1337

Abstract

In this paper, we discuss a spectral quadratic-SDP method for the iterative resolution of fixed-order H/sub 2/ and H/sub /spl infin// 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 SDP 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 for validation purposes.

Keywords

H/sup /spl infin// optimisation; control system synthesis; linear matrix inequalities; Lagrangian function; fixed-order synthesis; iterative resolution; linear matrix inequality; nonlinear equality constraints; quadratic objective function; reduced-order synthesis; semidefinite programming; Control engineering; Control systems; Convergence; Ear; Iterative methods; Lagrangian functions; Linear matrix inequalities; Linear programming; Optimal control; Robust control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2004. 5th Asian

Conference_Location

Melbourne, Victoria, Australia

Print_ISBN

0-7803-8873-9

Type

conf

Filename

1426833