Nonlinear programming approach to biaffine matrix inequality problems in multiobjective and structured control

Author

Lee, Joon Hwa

Author_Institution

Dept. of Electr. Eng., Seoul Nat. Univ., South Korea

Volume

3

fYear

1999

fDate

1999

Firstpage

1817

Abstract

Some nonlinear minimization problems are proposed for obtaining a solution of the biaffine matrix inequality (BMI) problem. An algorithm is also proposed for solving the nonlinear minimization problems. The algorithm can be easily implemented with the existing convex optimization codes. This nonlinear programming approach can be applied to all multiobjective and structured control problems such as the simultaneous stabilization by static or dynamic output feedback, the mixed H₂/H_∞ control, and the decentralized control which can be reduced to BMI problems. The effectiveness is illustrated by numerical examples

Keywords

H^∞ control; closed loop systems; decentralised control; feedback; matrix algebra; nonlinear programming; robust control; H_∞ control; H₂ control; biaffine matrix inequality; closed loop systems; convex optimization; decentralized control; feedback; multiobjective control; nonlinear programming; stabilization; Distributed control; Dynamic programming; Hydrogen; Linear matrix inequalities; Lyapunov method; Minimization methods; Optimal control; Output feedback; Search methods; Three-term control;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1999. Proceedings of the 1999

Conference_Location

San Diego, CA

ISSN

0743-1619

Print_ISBN

0-7803-4990-3

Type

conf

DOI

10.1109/ACC.1999.786162

Filename

786162