Reduced-order output feedback control design with specSDP, a code for linear/nonlinear SDP problems

Author

Thevenet, Jean-Baptiste ; Apkarian, Pierre ; Noll, Dominikus

Author_Institution

Univ. Paul Sabatier, Toulouse, France

Volume

1

fYear

2005

fDate

26-29 June 2005

Firstpage

465

Abstract

Optimization problems with bilinear matrix inequalities (BMI) constraints arise frequently in automatic control and are difficult to solve due to the inherent nonconvexity. The purpose of this paper is to give an overview of the spectral SDP (semidefinite programming) method presented by Thevenetet al. (2004), along with practical information on how to basically use specSDP, a software designed to solve LMI/BMI-constrained optimization problems, with a linear or quadratic objective function. specSDP is a Fortran code, interfaced with Matlab. It is tested here against several examples of reduced order control problems from the benchmark collection COMPlib (Leibfritz and Lipinsky, 2003).

Keywords

control system CAD; feedback; linear matrix inequalities; nonlinear programming; reduced order systems; COMPlib; Fortran code; Matlab; bilinear matrix inequality constraints; control synthesis; linear objective function; linear-nonlinear spectral semidefinite programming; optimization problem; output feedback control design; quadratic objective function; reduced-order control; specSDP; spectral penalty function; Automatic control; Constraint optimization; Control design; Design optimization; Functional programming; Linear matrix inequalities; Linear programming; Output feedback; Symmetric matrices; Testing; Bilinear matrix inequality; reduced order control synthesis; spectral penalty function;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2005. ICCA '05. International Conference on

Print_ISBN

0-7803-9137-3

Type

conf

DOI

10.1109/ICCA.2005.1528164

Filename

1528164