Robust controller synthesis via nonlinear matrix inequalities

Author

Collins, Emmanuel G., Jr. ; Sadhukhan, Debashis ; Watson, Layne T.

Author_Institution

Dept. of Mech. Eng., Florida A&M Univ., Tallahassee, FL, USA

Volume

1

fYear

1997

fDate

4-6 Jun 1997

Firstpage

67

Abstract

This paper uses the linear matrix inequality (LMI) approach to mixed structured singular value analysis to develop an approach for robust controller synthesis that is based on the stable factors of the multipliers and does not require the multipliers to be restricted to a basis. It is shown that this approach requires the solution of nonlinear matrix inequalities (NMIs). A continuation algorithm is presented for the solution of NMIs. The primary computational burden of the continuation algorithm is the solution of a series of LMIs

Keywords

asymptotic stability; control system synthesis; feedback; matrix algebra; robust control; asymptotic stability; continuation algorithm; control system synthesis; feedback; linear matrix inequality; mixed structured singular value; multipliers; nonlinear matrix inequality; robust control; Computer science; Helium; Linear matrix inequalities; Mathematics; Mechanical engineering; Performance analysis; Riccati equations; Robust control; Transfer functions; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.611756

Filename

611756