Quadratically constrained linear-quadratic optimization of linear output feedback: a linear matrix inequalities approach

Author

Cygankov, A. ; Megretski, A.

Author_Institution

Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA, USA

Volume

4

fYear

1995

fDate

13-15 Dec 1995

Firstpage

3624

Abstract

In this paper, it is shown how a special nonconvex constrained optimization problem-the linear-quadratic optimal output feedback control problem with finite number of quadratic constraints-can be reduced to minimization of a linear functional on a set of all solutions of a system of linear matrix inequalities. The proposed approach simplifies the existing frequency-domain techniques for solving this problem, and can be effectively used in loopshaping procedures

Keywords

feedback; frequency-domain synthesis; linear quadratic control; matrix algebra; frequency-domain techniques; linear functional minimization; linear matrix inequalities approach; linear output feedback; linear-quadratic optimal output feedback control problem; loopshaping procedures; nonconvex constrained optimization problem; quadratically constrained linear-quadratic optimization; Constraint optimization; H infinity control; Integral equations; Linear feedback control systems; Linear matrix inequalities; Optimal control; Output feedback; Sensor systems; Symmetric matrices; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1995., Proceedings of the 34th IEEE Conference on

Conference_Location

New Orleans, LA

ISSN

0191-2216

Print_ISBN

0-7803-2685-7

Type

conf

DOI

10.1109/CDC.1995.479151

Filename

479151