Absolute stability of coupled dissipative parabolic equations with wave-speed mistuning

Author

Hagen, G.

Author_Institution

Syst. Dept., United Technol. Res. Center, East Hartford, CT, USA

fYear

2010

fDate

June 30 2010-July 2 2010

Firstpage

2575

Lastpage

2580

Abstract

Recent work has focussed on the stabilizing properties of symmetry-breaking in oscillator systems. We consider the problem of achieving global absolute stability of an unstable equilibrium solution of coupled dissipative parabolic equations with non-homogeneous coefficients. In particular, we consider the stabilization of a PDE model describing thermo-acoustic instabilities with wave-speed mistuning. Sufficient conditions for absolute stability of the infinite-dimensional system are established by the feasibility of two finite-dimensional linear matrix inequalities (LMI). Numerical results are presented for an example problem.

Keywords

absolute stability; linear matrix inequalities; multidimensional systems; nonlinear control systems; parabolic equations; spontaneous symmetry breaking; LMI; PDE model; absolute stability; coupled dissipative parabolic equation; infinite-dimensional system; linear matrix inequality; nonhomogeneous coefficient; oscillator system; symmetry-breaking; thermo-acoustic instability; wave-speed mistuning; Acoustic waves; Control systems; Couplings; Helium; Linear matrix inequalities; Nonlinear acoustics; Nonlinear equations; Oscillators; Stability analysis; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2010

Conference_Location

Baltimore, MD

ISSN

0743-1619

Print_ISBN

978-1-4244-7426-4

Type

conf

DOI

10.1109/ACC.2010.5530555

Filename

5530555