Stabilization of the full model compression system

Author

Xiao, MingQing

Author_Institution

Dept. of Math., California Univ., Davis, CA, USA

Volume

3

fYear

1998

fDate

1998

Firstpage

2575

Abstract

Stability of compression systems is a major concern in the study of aerodynamics. This paper considers feedback stabilization for compressor systems based on Moore-Greitzer PDE model (1986) with general compressor characteristics. The formulation and discussion of the model is completely in the framework of distributed parameter systems. The asymptotic behavior of the full model is characterized by using semigroup theory and ω-limit set theory. Based on that, we derive a nonlinear feedback stabilization controller and show that if the initial condition smooth enough, the closed-loop system is strongly stable, and otherwise it is weakly stable. We also discuss the control of multimode dynamics by using Galerkin-type projection of the full model

Keywords

aerodynamics; closed loop systems; compressors; distributed parameter systems; feedback; group theory; nonlinear control systems; partial differential equations; set theory; stability; ω-limit set theory; Galerkin-type projection; PDE model; aerodynamics; closed-loop system; compressor systems; distributed parameter systems; full model compression system; multimode dynamics; nonlinear feedback stabilization controller; semigroup theory; stabilization; Aerodynamics; Control systems; Differential equations; Distributed parameter systems; Feedback; Laplace equations; Mathematics; Partial differential equations; Stability; Surges;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.757839

Filename

757839