Direct adaptive control for nonlinear matrix second-order systems with time-varying and sign-indefinite damping and stiffness operators

Author

Haddad, Wassim M. ; Stasko, Michael C. ; Hayakawa, Tomohisa

Author_Institution

Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

4

fYear

2003

fDate

4-6 June 2003

Firstpage

2919

Abstract

A direct adaptive control framework for a class of nonlinear matrix second-order systems with time-varying and sign-indefinite damping and stiffness operators is developed. The proposed framework guarantees global asymptotic stability of the closed-loop system states associated with the plant dynamics without requiring any knowledge of the system nonlinearities other than the assumption that they are continuous and bounded. The proposed adaptive control approach is used to design adaptive controllers for suppressing thermoacoustic oscillations in combustion chambers.

Keywords

adaptive control; asymptotic stability; closed loop systems; combustion; mathematical operators; matrix algebra; thermoacoustics; time-varying systems; asymptotic stability; closed-loop system; combustion chambers; direct adaptive control; nonlinear matrix second-order systems; sign-indefinite damping operator; stiffness operator; thermoacoustic oscillations; time-varying operator; Adaptive control; Aerospace engineering; Asymptotic stability; Control systems; Damping; Nonlinear control systems; Nonlinear dynamical systems; Programmable control; Time varying systems; Velocity control;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1243767

Filename

1243767